%Baart1992
% greg
\rhl{B}
\refJ Baart, M. L.;
A note on the construction of continuous quadric patches;
\CAGD; 9; 1992; xxx;

%Babenko2009
% carl 04mar10
\rhl{}
\refJ Babenko, Yuliya;
Exact asymptotics of the uniform error in interpolation by multilinear
   splines;
\JAT; xx; 2009; xxx--xxx;

%BabenkoKofanovPichugov1997
% carl 10nov97
\rhl{B}
\refJ Babenko, V. F., Kofanov, V. A., Pichugov, S. A.;
Exact inequalities of Kolmogorov type for multivariate functions and their
   applications;
\EJA; 3(2); 1997; 155--186;

%BabenkoKofanovPichugov1997b
% carl 26aug98
\rhl{B}
\refP Babenko, V. F., Kofanov, V. A., Pichugov, S. A.;
Multivariate inequalites of Kolmogorov type and their applications;
\Mannheimnisi; 1--12;

%BabenkoKorneichukLigun1992
% . 03apr06
\rhl{}
\refB Babenko, V. F., Korneichuk, N., Ligun, A. A.;
Extremal properties of polynomials and splines (in Russian);
Academic Press (Kiev); 1992;

%BabenkoKryakin2008
% carl 21nov08
\rhl{BK}
\refR Babenko, A. G., Kryakin, Yu. V.;
$L$-approximation of B-splines by trigonometric polynomials;
{{\tt http://arxiv.org/abs/0811.0686}}; 2008;
% cardinal B-splines

%Babuska1970
% .
\rhl{B}
\refJ Babu{\v s}ka, I.;
Approximation by hill functions;
Comment.\ Math.\ Univ.\ Carolinae; 11(4);  1970; 787--811;

%BabuskaAziz1976a
% shayne 21feb96
\rhl{B}
\refJ Babu\v{s}ka, I., Aziz, A. K.;
On the angle condition in the finite element method;
\SJNA; 13(2); 1976; 214--226;
% Refinements of the `minimum angle condition' for the finite element method
% Also see Jamet76

%BabuskaSuri1992
% sherm
\rhl{B}
\refJ Babu\v{s}ka, I., Suri, Manil;
On locking and robustness in the finite element method;
\SJNA; 29(5); 1992; 1261--1293;

%BacchelliCotroneiLazzaro2000
% larry 20apr00
\rhl{}
\refP Bacchelli, Silvia, Cotronei, Mariantonia, Lazzaro, Damiana;
A recursive approach to the construction of $k$-balanced biorthogonal
   multifilters;
\Stmalof; 27--36;

%BackusGilbert1967
% . 6aug96
\rhl{B}
\refJ Backus, G., Gilbert, F.;
Numerical applications of a formalism for geophysical inverse problems;
Geophys.\ J. R. Astr.\ Soc.; 13; 1967; 247--276;

%BackusGilbert1968
% . 6aug96
\rhl{B}
\refJ Backus, G., Gilbert, F.;
The resolving power of gross Earth data;
Geophys.\ J. R. Astr.\ Soc.; 16; 1968; 169--205;

%BackusGilbert1970
% . 6aug96
\rhl{B}
\refJ Backus, G., Gilbert, F.;
Uniqueness in the inversion of gross Earth data;
Proc.\ Royal Soc.\ London, ser.\ A; 266; 1970; 123--192;

%BacopoulosMarsden1972
% larry 02feb01
\rhl{B}
\refJ Bacopoulos, A., Marsden, M.;
On a map from the splines into a positive cone with applications;
\AeM; 8; 1972; 221--228;

%BadeaBadeaGonska1986
\rhl{B}
\refJ Badea,  C., Badea, I., Gonska, H. H.;
A test function theorem and approximation by pseudopolynomials;
Bull.\ Austral.\ Math.\ Soc.; 34; 1986; 53--64;

%Bagdasarov1997a
% carl 10nov97
\rhl{B}
\refR Bagdasarov, Sergey K.;
Zolotarev $\omega$-splines;
Ohio State Mathematical Research Institute Preprints, 97-1; 1997;
% extremal function for the Kolomogorov-Landau problem 
% $\sup \{D^m f(\xi) : f\in W^r H^\omega[\xi,b], \norm{f|C([a,b]}\le B\}%
% with $\xi<a$, $0<m\le r$, $\omega$ a concave modulus of continuity.
% see Badgasarov97b

%Bagdasarov1997b
% carl 10nov97
\rhl{B}
\refR Bagdasarov, Sergey K.;
Chebyshev $\Omega$-splines extremal in the Kolmogorov-Landau problem;
Ohio State Mathematical Research Institute Preprints, 97-9; 1997;

%Bagdasarov1998
% carl 24mar99
\rhl{B}
\refB Bagdasarov, Sergey K.;
Chebyshev Splines and Kolmogorov Inequalities;
% Operator Theory, Advances and Applications Vol.~105
Birkh\"auser (Basel, Boston, Berlin); 1998;
% Kolmogorov-Landau inequalities

%Bagdasarov1998b
% carl 16aug02
\rhl{}
\refD Bagdasarov, Sergey K.;
Kolmogorov problem in $W^r H^\go[0,1]$ and extremal Zolotarev $\go$-splines;
Dissertationes Mathematicae,
Polska Akad.\ Nauk, Instytut Matematyczny (Warszawa); 1998;
% not mentioned in Bagdasarov98

%Bagemihl1948
% larry
\rhl{B}
\refJ Bagemihl,  F.;
On indecomposable polyhedra;
Amer.\ Math.\ Monthly;  55; 1948; 411--413;

%BaierLempio1994
% larry
\rhl{B}
\refP Baier, R., Lempio, F.;
Approximating reachable sets by extrapolation methods;
\ChamonixIIa; 9--18;

%BaileyBajajFields1991
\rhl{B}
\refR Bailey, B., Bajaj, C., Fields, M. C.;
The Vaidak medical imaging and model reconstruction toolkit;
Computer Sciences, Purdue University, Technical Report CSD-TR-91-066,
CAPO Report CER-91-31; 1991;

%Bajaj1989a
% sherm
\rhl{B}
\refP Bajaj,  C. L.;
Geometric modelling with algebraic surfaces;
\HandscombIII; 3--48;

%Bajaj1994
% larry
\rhl{B}
\refQ Bajaj, C. L.;
Some applications of constructive real algebraic geometry;
(Algebraic Geometry and its Applications), C. L. Bajaj (ed.), 
Springer-Verlag (Berlin); 1994; 393--405;

%Bajaj1996
% carl 20jun97
\rhl{B}
\refQ Bajaj, Chandrajit L.;
The combinatorics of real algebraic splines over a simplicial complex;
(The Mathematics of Numerical Analysis), J. Renegar, M. Shub, S. Smale
(eds.), Amer,\ Math.\ Soc.{} (Providence); 1996; 498--58;

%BajajBernardiniXu1994
\rhl{B}
\refR Bajaj, C. L., Bernardini, F., Xu, G.;
Reconstruction of surfaces and surfaces-on-surfaces from unorganized 
weighted points;
Computer Sciences, Purdue University, CSD-TR-94-001; 1994;

%BajajChenXu1994
\rhl{B}
\refR Bajaj, C. L., Chen, J., Xu, G.;
Smooth low degree approximations of polyhedra;
Computer Sciences, Purdue University, CSD-TR-94-002; 1994;

%BajajDey1992
% sherm, page update
\rhl{B}
\refJ Bajaj,  C. L., Dey, T. K.;
Convex Decomposition of Polyhedra and Robustness;
\SJC; 21(2); 1992; 339--364;

%BajajGarrityWarren1988
\rhl{B}
\refR Bajaj,  C., Garrity, T., Warren, J.;
On the applications of multi-equational resultants;
Purdue; 1988;

%BajajHoffmannHopcroftLynch1988a
% greg
\rhl{B}
\refJ Bajaj,  C. L., Hoffmann, C. M., Hopcroft, J. E. H., Lynch, R. E.;
Tracing surface intersections;
\CAGD; 5; 1988; 285--307;

%BajajIhm1989
\rhl{B}
\refR Bajaj,  C., Ihm, I.;
Hermite interpolation using real algebraic surfaces;
in {\sl 5th ACM Symposium on Computational Geometry}; 1989;

%BajajRoyappa1989
\rhl{B}
\refR Bajaj, C., Royappa, A.;
GANITH:  An algebraic geometry package;
Computer Sciences, Purdue University, Technical Report CSD-TR-914, 
CAPO Report CER-89-21; 1989;

%BajajRoyappa1991
\rhl{B}
\refR Bajaj, C., Royappa, A.;
The GANITH algebraic geometry toolkit V1.0;
Computer Sciences, Purdue University, Technical Report CSD-TR-91-065, 
CAPO Report CER-91-30; 1991;

%BajajXu1992
\rhl{B}
\refR Bajaj, C. L., Xu, G.;
A-splines:  Local interpolation and approximation using $C^k$ continuous 
piecewise real algebraic curves;
Computer Sciences, Purdue University, Technical Report CSD-TR-92-095,
CAPO Report CER-92-44; 1992;

%BajajXu1993
\rhl{B}
\refR Bajaj, C. L., Xu, G.;
NURBS approximation of surface / surface intersection curves;
to appear in Advances in Computational Mathematics; 1993;

%BakerGrosseRafferty1985
\rhl{B}
\refR Baker,  B. S., Grosse, E., Rafferty, C. S.;
Non-obtuse triangulation of a polygon;
Bell Lab Rpt; 1985;

%Bakiev1988
\rhl{B}
\refD Bakiev,  R.;
Approximation by $L$-splines and numerical solution of integral and
differential equations;
Tashkent; 1988;

%Balan1999
% shayne 21jan02
\rhl{}
\refJ Balan, R.;
Equivalence relations and distances between Hilbert frames;
\PAMS; 127; 1999; 2353--2366;

%BalarasJeter1990
% larry
\rhl{B}
\refJ Balaras,  C. A., Jeter, S. M.;
A surface fitting method for three dimensional scattered data;
Intern.\ J. for Numer.\ Meth.\ in Engineering; 29; 1990; 633--645;

%Ball1983
\rhl{B}
\refJ Ball,  A. A.;
The improved bicubic patch -- natural surface counterpart of the parametric
cubic segment;
\IMAJNA; 3; 1983; 373--380;

%Ball1989a
\rhl{B}
\refR Ball,  K. M.;
Invertibility of Euclidean distance matrices and
radial basis interpolation;
CAT report no.\ 201, Texas A \& M University,
College Station; 1989;

%Ball1992
% sonya
\rhl{B}
\refJ Ball,  K.;
Eigenvalues of Euclidean distance matrices;  
\JAT; 68; 1992; 74--82; 

%BallK1995
% carl 05mar08
\rhl{B}
\refJ Ball, K.;
Mahler's conjecture and wavelets;
Discrete Comput.\ Geom.; 13; 1995; 271--277;
% considers Mahler's conjecture: $\vol(K) \vol(K^o)\ge 4^n/n!$, with $K$ a
% symmetric convex body in $\RR^n$ and $K^o$ its polar.
% Is conjecture obvious when $K=A(B)$, with $A$ invertible and $B$ the 
% $\ell_\infty$ unit ball, i.e., $K$ has just $2n$ facets?
% Points to special case, in which $K= H\cap [-1\dd 1]^{n+1}$ with H$ a
% hyperplane, hence $K^o$ the orthoprojection of the $\ell_1$ unitball of
% $\RR^{n+1}$ onto $H$. Of interest for univariate box splines.

%BallSivakumarWard1992
% sherm
\rhl{B}
\refJ Ball,  K., Sivakumar, N., Ward, J. D.;
On the sensitivity of radial basis interpolation to minimal data
separation distance;
\CA; 8(4); 1992; 401--426;

%BallStorry1986a
% . 5dec96
\rhl{B}
\refJ Ball, A. A., Storry, D. J. T.;
A matrix approach to the analysis of recursively generated B-spline surfaces;
\CAD; 18; 1986; 437--442;

%BallStorry1988a
%  5dec96
\rhl{B}
\refJ Ball,  A. A., Storry, D. J.;
Conditions for tangent plane continuity
   over recursively generated B-spline surfaces;
\TOG;  7; 1988; 83--102;
% results not quite correct according to Reif95a

%Bamberger1981
\rhl{B}
\refR Bamberger,  L.;
Die Anwendung allgemeiner Splines zur numerischen Behandlung von
Integralgleichungen;
Dimplomarbeit, Univ.\ Munich; 1981;

%Bamberger1985
% larry
\rhl{B}
\refP Bamberger,  L.;
Interpolation in bivariate spline spaces;
\MvatIII; 25--34;

%Bamberger1985b
\rhl{B}
\refD Bamberger,  L.;
Zweidimensionale Splines auf regul\"aren Triangulationen;
Univ.\ Munich; 1985;

%BambergerHammerlin1982
\rhl{B}
\refR Bamberger,  L., H\"ammerlin, G.;
Spline-blended substitution kernels of optimal convergence;
xx; 1982;

%Banach1938a
% shayne 14sep95
\rhl{B}
\refJ Banach, S.;
\"Uber homogene Polynome in ($L^2$);
\SM; 7; 1938; 36--44;
% proves that the norm of a symmetric multilinear functional on a Hilbert space
% is taken on when all its arguments are equal. This result was first proved by
% %Kellogg28, and then independently reproved by %vanderCorputSchaakee35, 
% %Banach38, %ChenDitzian90, ...
% Shayne spent many hours searching for this classical result which is the basis
% of %ChenDitzian90

%BankBenbourenane1992
% carl
\rhl{B}
\refJ Bank,  R. E., Benbourenane, M.;
The hierarchical basis multigrid method for convection-diffusion equations;
\NM; 61; 1992; 7--37;

%BankDupontYserentant1988
% . 12mar97
\rhl{B}
\refJ Bank, Randolph E., Dupont, Todd F., Yserentant, Harry;
The hierarchical basis multigrid method;
\NM; 52; 1988; 427--458;

%BankSmithRK1993
\rhl{B}
\refJ Bank,  Randolph E., Smith, R. Kent;
A posteriori error estimates based on hierarchical bases;
\SJNA; 30(4); 1993; xxx--xxx;

%BanksCohenMuellerT1993
\rhl{B}
\refP Banks,  M. J., Cohen, E., Mueller, T. I.;
An envelope approach to a sketching editor for hierarchical free-form
curve design and modification;
\GoldmanLyche; 179--193;

%BaoChang1979
\rhl{B}
\refJ Bao,  M. T., Chang, D. R.;
A convergence theorem for cubic splines with a uniform mesh (Chinese);
Knowledge Practice Math.;  3; 1979; 40--54;

%BaoChang1983
\rhl{B}
\refJ Bao,  M. T., Chang, D. R.;
Convergence theorems for cubic splines which satisfy a general two-point
boundary conditions (Chinese);
Math.\  Practice Theory; XX; 1983; 12--19;

%Bar1977
\rhl{B}
\refJ Bar,  G.;
Hermitische und Spline-Interpolation empirischer Kurven und Fl\"achen mit
geometrischen Interpolationsbedingungen;
Rostock Math.\  Kolloq.; 6; 1977;  5--22;

%Baram1984
\rhl{B}
\refJ Baram,  Y.;
On two dimensional representation by radial base functions;
IEEE Trans.\ Acoustics Speech Sig.\ Proc.;  32; 1984; 163--164;

%BarelBultheel1992
% carl
\rhl{B}
\refJ Barel,  M. Van, Bultheel, A.;
A new formal approach to the rational interpolation problem;
\NM; 62; 1992; 87--122;

%BarghielBartelsForsey1995
% Stephen Mann 26aug99
\rhl{B}
\refP Barghiel, C., Bartels, R., Forsey, D.;
Pasting spline surfaces;
\Ulvik; 31--40;

%Barinov1975
\rhl{B}
\refJ Barinov,  V. A;
Approximation of experimental data by a spline according
	 to the method of least squares (Russian);
Ucebn.\ Zan.\  CAGI;  5; 1975;  128--132;

%BarmaidzeLai2005
% lls Lai-Schumaker book
\rhl{BarL05}
\refP Baramidze, V.,  Lai, M. J.;
Error bounds for minimal energy interpolatory spherical splines;
\TexasXI; 25--50;

%Barnes1980
\rhl{B}
\refJ Barnes,  M. G.;
The use of Kriging for estimating the spatial
	 distribution of radionuclides and other spatial phenomena;
Tran-Stat, Statistics for Environmental Studies; 13; 1980; 2--21;

%Barnette1982
% peter
\rhl{B}
\refJ Barnette,  D.;
Generating triangulations of the projective plane;
J. Combinatorial Theory B; 1982; 33; 222--230;

%Barnhill1974
\rhl{B}
\refP Barnhill,  R. E.;
Smooth interpolation over triangles;
\Barnhill; 45--70;

%Barnhill1976
\rhl{B}
\refP Barnhill,  R. E.;
Blending function finite elements for curved boundaries;
\BrunelII; 67--76;

%Barnhill1977a
% larry
\rhl{B}
\refP Barnhill,  R. E.;
Blending function interpolation: a survey and some new results;
\Schempp; 43--89;

%Barnhill1977b
\rhl{B}
\refP Barnhill,  R. E.;
Representation and approximation of surfaces;
\MsoftIII; 68--119;

%Barnhill1982
% larry
\rhl{B}
\refJ Barnhill,  R. E.;
Coons' patches;
Computers in Industry; 3; 1982; 37--43;

%Barnhill1983a
% larry, carl
\rhl{B}
\refJ Barnhill, Robert E.;
A survey of the representation and design of surfaces;
\ICGA; 3(7); 1983; 9--16;

%Barnhill1983b
% larry
\rhl{B}
\refP Barnhill,  R. E.;
Computer aided surface representation and design;
\CagdI; 1--24;

%Barnhill1985
% greg
\rhl{B}
\refJ Barnhill,  R. E.;
Surfaces in computer aided geometric design:  A survey
	 with new results;
\CAGD; 2; 1985; 1--17;

%Barnhill1991a
\rhl{B}
\refB Barnhill,  R. E.;
Geometry Processing for Design and Manufacturing;
SIAM (Philadelphia); 1991;

%Barnhill1993
% carl
\rhl{B}
\refP Barnhill,  Robert E.;
Coons' patches and convex combinations;
\Piegl; 135--165;
% expository

%BarnhillBirkhoffGordon1973
% sonya
\rhl{B}
\refJ Barnhill,  R. E., Birkhoff, G., Gordon, W. J.;
Smooth interpolation in triangles;
\JAT; 8; 1973; 114--128;

%BarnhillBoehm1983
\rhl{B}
\refB Barnhill,  R. E., (eds.), W. Boehm;
Surfaces in Computer Aided Geometric Design;
North Holland (Amsterdam); 1983;

%BarnhillBoehm1985
\rhl{B}
\refB Barnhill,  R. E., (eds.), W. Boehm;
Surfaces in CAGD '84;
North Holland (Amsterdam); 1985;

%BarnhillBoehmHoschek1990a
\rhl{B}
\refB (eds.) Barnhill, B.,Boehm, W.,  Hoschek, J.;
Curves and surfaces in CAGD '89;
North-Holland (Amsterdam); 1990;
% this is \CAGD: 7(1-4): 1990

%BarnhillBrownKlucewicz1978
% larry
\rhl{B}
\refJ Barnhill,  R. E., Brown, J. H., Klucewicz, I. M.;
A new twist in computer aided geometric design;
Computer Graphics and Image Proc.; 8; 1978; 78--91;

%BarnhillDubeLittle1983
% larry
\rhl{B}
\refJ Barnhill,  R. E., Dube, R. P., Little, F. F.;
Properties of Shepard's surfaces;
\RMJM; 13; 1983; 365--382;

%BarnhillFarin1981
% larry
\rhl{B}
\refJ Barnhill,  R. E., Farin, G.;
$C^1$ quintic interpolation over triangles:  two explicit representations;
Int.\ J. Numer.\ Meth.\ Engr.; 17; 1981; 1763--1778;

%BarnhillFarinFayardHagen1988
% carl
\rhl{B}
\refJ Barnhill, R. E., Farin, G., Fayard, L., Hagen, H.;
Twists, curvatures and surface interrogation;
\CAD; 20(6); 1988; 341--346;
% computer-aided geometric design, twists.

%BarnhillGregory1972
% larry
\rhl{B}
\refR Barnhill,  R. E., Gregory, J. A.;
Blending function interpolation to boundary data on triangles;
Rpt.\ Tr/14 Brunel; 1972;

%BarnhillGregory1975a
% larry, carl
\rhl{B}
\refJ Barnhill, R. E., Gregory, J. A.;
Polynomial interpolation to boundary data on triangles;
\MC; 29(131); 1975; 726--735;
% bivariate interpolation, Coons patches for triangles, polynomial blending
% functions, blending functions, interpolation methods, Boolean sum
% interpolation, curved boundery finite elements.

%BarnhillGregory1975b
% sonya
\rhl{B}
\refJ Barnhill,  R. E., Gregory, J. A.;
Compatible smooth interpolation in triangles;
\JAT; 15; 1975; 214--225;

%BarnhillGregory1976a
% larry
\rhl{B}
\refJ Barnhill,  R. E., Gregory, J. A.;
Interpolation remainder theory from Taylor expansions on triangles;
\NM; 25; 1976; 401--408;

%BarnhillGregory1976b
% larry
\rhl{B}
\refJ Barnhill,  R. E., Gregory, J. A.;
Sard kernel theorems on triangular domains with
	 application to finite element error bounds;
\NM; 25; 1976; 215--229;

%BarnhillKersey1990a
% greg
\rhl{B}
\refJ Barnhill,  R. E., Kersey, S.;
A marching method for parametric  surface/surface intersection;
\CAGD; 7; 1990; 257--280;

%BarnhillLittle1980
\rhl{B}
\refR Barnhill,  R. E., Little, F. F.;
Adaptive triangular cubatures;
CAGD Rpt.\ 80/3; 1980;

%BarnhillLittle1984
\rhl{B}
\refJ Barnhill,  R. E., Little, F. F.;
Three- and four-dimensional surfaces;
\RMJM; 14; 1984; 77--102;

%BarnhillMakaturaStead1987
\rhl{B}
\refP Barnhill,  R. E., Makatura, G. T., Stead, S. E.;
A new look at higher dimensional surfaces through computer graphics;
\Troy; 123--130;

%BarnhillMansfield1974
% sonya
\rhl{B}
\refJ Barnhill,  R. E., Mansfield, L.;
Error bounds for smooth interpolation in triangles;
\JAT; 11; 1974; 306--318;

%BarnhillMansfield1999
\rhl{B}
\refR Barnhill,  R. E., Mansfield, L.;
Spline-blended optimal approximation of linear operators;
xx; 1999;

%BarnhillNielson1972
% larry
\rhl{B}
\refR Barnhill,  R. E., Nielson, G. M.;
On blending-function interpolation;
TR/12 Brunel; 1972;

%BarnhillNielson1974
% larry
\rhl{B}
\refJ Barnhill,  R. E., Nielson, G. M.;
Reproducing kernel functions for Sard spaces of type B;
\SJNA; 11; 1974; 37--44;

%BarnhillPilcher1973
% larry
\rhl{B}
\refJ Barnhill,  R. E., Pilcher, D. T.;
Sard kernels for certain bivariate cubatures;
Comm.\ ACM; 16; 1973; 567--570;

%BarnhillPiperRescorla1987
\rhl{B}
\refP Barnhill,  R. E., Piper, B. R., Rescorla, K. L.;
Interpolation to arbitrary data on a surface;
\Troy; 281--290;

%BarnhillPiperStead1985
\rhl{B}
\refJ Barnhill,  R. E., Piper, B. R., Stead, S. E.;
Surface representation for the graphical display of structured data;
The Visual Computer; 1; 1985; 108--111;

%BarnhillRiesenfeld1974
\rhl{B}
\refB Barnhill,  R. E., (eds.), R. F. Riesenfeld;
Computer Aided Geometric Design;
Academic Press (New York); 1974;

%BarnhillRiesenfeld1977
% larry
\rhl{B}
\refP Barnhill,  R. E., Riesenfeld, R. F.;
Surface representation for computer aided design;
\Klinger; 413--426;

%BarnhillStead1984
\rhl{B}
\refJ Barnhill,  R. E., Stead, S.;
Multistage trivariate surfaces;
\RMJM; 14; 1984; 103--118;

%BarnhillWhelan1984
% sonya
\rhl{B}
\refJ Barnhill,  R. E., Whelan, T.;
A geometric interpretation of convexity conditions for surfaces;
\CAGD; 1; 1984; 285--287;

%BarnhillWhiteman1973
% carl
\rhl{B}
\refP Barnhill,  R. E., Whiteman, J. R.;
Error analysis of finite element methods with triangles for elliptic
boundary value problems;
\BrunelI; 83--112;
% numerical quadrature, interpolation, multivariate

%BarnhillWixom1969
% larry
\rhl{B}
\refJ Barnhill,  R. E., Wixom, J. A.;
An error analysis for the bivariate interpolation of analytic functions;
\SJNA; 6; 1969; 450--457;

%BarnhillWorsey1984
% sonya
\rhl{B}
\refJ Barnhill,  R. E., Worsey, A. J.;
Smooth interpolation over hypercubes;
\CAGD; 1; 1984; 101--113;

%Barone2008
% carl 05mar08
\rhl{B}
\refR Barone, Piero;
Computational aspects and applications of a new transform for solving
  the complex exponentials approximation problem;
arXiv:0801.4172; 2008;

%BaroneCiarliniGuspiniMacchi1978
\rhl{B}
\refP Barone,  P., Ciarlini, P., Guspini, A., Macchi, E., Ocello, N., Regoliosi, G., Taccardi, B.;
GISPEM: A graphic interactive system for the processing of
  electrocardiographic maps;
\Antaloczy; 127--131;

%BarrarLoeb1970a
% larry
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
Existence of best spline approximations with free knots;
\JMAA; 31; 1970; 383--390;

%BarrarLoeb1970b
% larry
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
On the continuity of the nonlinear Tschebysheff operator;
\PJM; 32; 1970; 593--601;

%BarrarLoeb1972
\rhl{B}
\refR Barrar,  R. B., Loeb, H. L.;
Spline functions, another look;
xx; 1972;

%BarrarLoeb1973
% larry
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
On extended varisolvent families;
\JAM; 26; 1973; 243--254;

%BarrarLoeb1974
% larry
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
Analytic extended monosplines;
\NM; 22; 1974; 119--125;

%BarrarLoeb1976b
% sonya
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
On a nonlinear characterization problem for monosplines;
\JAT; 18; 1976; 220--240;

%BarrarLoeb1978
% sherm
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
On monosplines with odd multiplicities of least norm;
\JAM; 33; 1978; 12--38;

%BarrarLoeb1980
% larry
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
Fundamental theorem of Algebra for monosplines and related results;
\SJNA; 17; 1980; 874--882;

%BarrarLoeb1982
% sonya
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
The fundamental theorem of Algebra and the interpolating envelope for
totally positive perfect splines;
\JAT; 34; 1982; 167--186;

%BarrarLoeb1983
% shayne 29apr97
\rhl{B}
\refP Barrar, R. B., Loeb, H. L.;
Lifting a distribution;
\TexasIV; 323--327;
% gives the Kergin interpolant Kf in terms of the Fourier transform of f

%BarrarLoeb1984a
% larry
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
Optimal monosplines with a maximal number of zeros;
\SJMA; 15; 1984; 1196--1204;

%BarrarLoeb1984b
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
% sonya
Some remarks on the exact controlled approximation order of bivariate splines
on a diagonal mesh;
\JAT; 42; 1984; 257--265;

%BarrarLoeb1985
% carl
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
A necessary condition for the controlled approximation; 
\NFAO; 8; 1985; 193--205;

%BarrarLoeb1989
% sonya
\rhl{B}
\refJ Barrar,  R. B., Loeb, H. L.;
The optimal $L_1$ problem for generalized polynomial monosplines and a related 
problem;
\JAT; 59; 1989; 170--201;

%BarreraIbanezSablonniere2002
% author 03apr06
\rhl{}
\refP Barrera, D., Ib\'a\~nez, M. J., Sablonni\`ere, P.;
Near-best discrete quasi-interpolants on uniform and nonuniform partitions;
\Stmaloftw; 31--40;

%BarreraIbanezSablonniereSbibih2005a
% author 03apr06
\rhl{}
\refJ Barrera, D., Ib\'a\~nez, M. J., Sablonni\`ere, P., Sbibih, D.;
Near-best spline quasi-interpolants associated with H-splines on a
   three-direction mesh;
\JCAM; 183; 2005; 133--152;

%BarreraIbanezSablonniereSbibih2005b
% author 03apr06
\rhl{}
\refJ Barrera, D., Ib\'a\~nez, M. J., Sablonni\`ere, P., Sbibih, D.;
Near minimally normed spline quasi-interpolants on uniform partitions;
\JCAM; 181; 2005; 211--233;

%BarrettFeinsilver1980
% sonya
\rhl{B}
\refJ Barrett,  W. W., Feinsilver, P. J.;
Inverses of band matrices;
\LAA; 41; 1981; 111--130;

%BarrettParker1994
% carl
\rhl{B}
\refJ Barrett,  John W., Parker, Phillip E.;
Smooth limits of piecewise-linear approximations;
\JAT; 76(1); 1994; 107--122;
% approximations to functions on smooth manifolds with the aid of piecewise
% linear approximations to the manifolds.

%BarrodaleKuwaharaPoeckertSkea1993
% carl
\rhl{B}
\refJ Barrodale,  I., Kuwahara, R., Poeckert, R., Skea, D.;
Side-scan sonar image processing using thin plate splines and control point
matching;
\NA; 5; 1993; 85--98;

%BarrodaleRobert1972
\rhl{B}
\refR Barrodale,  I., Roberts, F. D.;
An improved algorithm for discrete $\ell_1$ linear
	 approximation;
MRC Technical Summ.\  Rpt.\ 1172; 1972;

%BarrodaleYoung1966
% larry
\rhl{B}
\refJ Barrodale,  I., Young, A.;
Algorithms for best $L_1$ and $L_\infty$
	 linear approximations on a discrete set;
\NM;   8; 1966;  295--306;

%BarrodaleYoung1966b
% larry
\rhl{B}
\refJ Barrodale,  I., Young, A.;
A note on numerical procedures for
	 approximation by spline functions;
\CJ;   9;  1966;  318--320;

%Barron1988
\rhl{B}
\refR Barron,  P. A.;
The quadratically precise nine-parameter interpolant;
Utah; 1988;

%Barron1991
\rhl{B}
\refR Barron,  A. R.;
Universal approximation bounds for superpositions of a sigmoidal function; 
Technical Report No.\ 58; Dept.\ of Statistics, 
University of Illinois, Urbana-Champaign; 1991;

%BarrowChuiSmithWard1977
% larry
\rhl{B}
\refJ Barrow,  D., Chui, C., Smith, P., Ward, J.;
Unicity of best $L_2$ approximation by second order splines with variable
knots;
\BAMS; 83; 1977; 1049--1050;

%BarrowChuiSmithWard1978
% larry, carl
\rhl{B}
\refJ Barrow, D.L., Chui, Charles K., Smith, Philip W., Ward, Joseph D.;
Unicity of best mean approximation by second order splines with variable
knots;
\MC; 32(144); 1978; 1131--1143;

%BarrowSmith1978
% sherm
\rhl{B}
\refJ Barrow,  D. L., Smith, P. W.;
Asymptotic properties of best $L_2[0,1]$ approximation by splines with
variable knots;
Quart.\ Appl.\ Math.; 36; 1978; 293--304;

%BarrowSmith1979a
% larry
\rhl{B}
\refP Barrow,  D. L., Smith, P. W.;
Asymptotic properties of optimal quadrature formulas;
\HammerlinI; 54--66;

%BarrowSmith1979b
% larry
\rhl{B}
\refJ Barrow,  D. L., Smith, P. W.;
Efficient $L_2$ approximation by splines;
\NM; 33; 1979; 101--114;

%BarrowSmith1999
\rhl{B}
\refR Barrow,  D. L., Smith, P. W.;
Spline notation applied to a volume problem;
xx; 1999;

%BarrowStroud1976
% shayne 26aug99
\rhl{B}
\refJ Barrow, D. L., Stroud, A. H. ;
Existence of Gauss harmonic interpolation formulas;
\SJNA; 13; 1976; 18--26;

%Barry1987a
\rhl{B}
\refD Barry,  P. J.;
Urn models, recursive curve schemes, and computer aided
geometric design;
University of Utah, Salt Lake City; 1987;

%Barry1990
% author
\rhl{B}
\refJ Barry, P. J.;
de Boor-Fix functionals and polar forms;
\CAGD; 7; 1990; 425--430;

%Barry1992a
% author
\rhl{B}
\refQ Barry, P. J.;
Knot insertion algorithms for splines;
(Curves and Surfaces in Computer Vision and Graphics II), Silbermann and Tagare
(eds.), Proc.\ SPIE {\bf 1610} (xxx); 1992; 146--160;

%Barry1992b
% author
\rhl{B}
\refP Barry, P. J.;
Symmetrizing multiaffine polynomials;
\Biri; 1--7;

%Barry1993
\rhl{B}
\refP Barry,  P. J.;
An introduction to blossoming;
\GoldmanLyche; 1--10;

%Barry1994a
% larry
\rhl{B}
\refP Barry, P. J.;
Unimodality of quartic B-splines;
\ChamonixIIa; 19--26;

%Barry1994b
% author
\rhl{B}
\refP Barry, P. J.;
de Boor-Fix dual functionals and algorithms for Tchebycheffian B-spline curves;
\Ulvik; xxx--xxx;

%Barry1996a
% carl 5dec96
\rhl{B}
\refJ Barry, P. J.;
de Boor-Fix dual functionals and algorithms for Tchebycheffian B-spline curves;
\CA; 12(3); 1996; 385--408;

%BarryBeattyGoldman1992
% carl
\rhl{B}
\refJ Barry, P. J., Beatty, J. C., Goldman, R. N.;
Unimodal properties of B-spline and Bernstein-basis functions;
\CAD; 24(12); 1992; 627--636;

%BarryDeRoseGoldman1990
% author
\rhl{B}
\refQ Barry, P. J., DeRose, T., Goldman, R. N.;
Pruning B\'ezier curves;
(Graphics Interface '90 Proceedings), xxx (ed.), xxx (xxx); 1990; 229--238;

%BarryDynGoldmanMicchelli1991a
% goldman
\rhl{B}
\refJ Barry,  P., Dyn, N., Goldman, R., Micchelli, C. A.;
Polynomial identities for piecewise polynomial spaces determined by connection
matrices;
Aequat.\ Mathem.; 42; 1991; 123--136;

%BarryGoldman1988a
% author
\rhl{B}
\refJ Barry,  P. J., Goldman, R. N.;
A recursive evaluation algorithm for a class of Catmull-Rom splines;
Computer Graphics ---  SIGGRAPH '88,
Conference Proceedings;  22; 1988; 199--204;

%BarryGoldman1988b
% author
\rhl{B}
\refJ Barry, P. J., Goldman, R. N.;
de Casteljau subdivision is peculiar to B{\'e}zier curves;
\CAD; 20; 1988; 114--116;

%BarryGoldman1988c
% author
\rhl{B}
\refJ Barry, P. J., Goldman, R. N.;
A recursive proof of Boehm's knot insertion algorithm;
\CAD; 20; 1988; 173--175;
% page numbers may be wrong, see 88d

%BarryGoldman1988d
% author
\rhl{B}
\refJ Barry, P. J., Goldman, R. N.;
A recursive proof of an identity for B-spline degree elevation;
\CAGD; 5; 1988; 173--175;
% page numbers may be wrong, see 88c

%BarryGoldman1989a
% author
\rhl{B}
\refP Barry,  P. J., Goldman, R. N.;
What is the natural generalization of a B\'{e}zier curve?;
\Oslo; 71--85;

%BarryGoldman1989b
% author
\rhl{B}
\refP Barry, P. J., Goldman, R. N.;
Three examples of dual properties of B{\'e}zier curves;
\Oslo; 61--69;

%BarryGoldman1990a
% greg
\rhl{B}
\refJ Barry,  P. J., Goldman, R. N.;
Recursive polynomial curve schemes
and computer aided geometric design;
\CA; 6; 1990; 65--96;

%BarryGoldman1991a
\rhl{B}
\refJ Barry,  P. J., Goldman, R. N.;
Shape parameter deletion for P\'olya curves;
\NA; 1; 1991; 121--138;

%BarryGoldman1991b
% author
\rhl{B}
\refJ Barry,  P. J., Goldman, R. N.;
Interpolation and approximation of curves and surfaces using P\'olya
polynomials;
\CVGIP; 53; 1991; 137--148;

%BarryGoldman1993a
% sherm
\rhl{B}
\refP Barry,  P. J., Goldman, R. N.;
Knot insertion algorithms;
\GoldmanLyche; 89--133;

%BarryGoldman1993b
% sherm
\rhl{B}
\refP Barry,  P. J., Goldman, R. N.;
Factored knot insertion;
\GoldmanLyche; 65--88;

%BarryGoldman1993c
% author
\rhl{B}
\refP Barry,  P. J., Goldman, R. N.;
Algorithms for progressive curves:
Extending B-spline and blossoming techniques to the monomial, power, and
Newton dual bases;
\GoldmanLyche; 11--63;

%BarryGoldman1994
% author
\rhl{B}
\refQ Barry, P. J., Goldman, R. N.;
Knot insertion using forward differences;
(Graphic Gems IV), Paul Heckbert (ed.), Academic Press (xxx); 1994; 234--238;

%BarryGoldmanDeRose1991
% sonya
\rhl{B}
\refJ Barry,  P. J., Goldman, R. N., DeRose, T. D.;
B-splines, P\'olya curves, and duality;
\JAT; 65; 1991; 3--21;

%BarryGoldmanMicchelli1993
% carl
\rhl{B}
\refJ Barry, Phillip J., Goldman, Ronald N., Micchelli, Charles A.;
Knot insertion algorithms for piecewise polynomial spaces determined by
connection matrices;
\AiCM; 1; 1993; 139--171;

%BarryZhuRF1992
% carlrefs
\rhl{B}
\refJ Barry, Phillip J., Zhu, Rui-Feng;
Another knot insertion algorithm for B-spline curves;
\CAGD; 9; 1992; 175--183;

%Barsky1981a
% larry
\rhl{B}
\refD Barsky,  B. A.;
The beta spline: a local representation based on shape parameters
       and fundamental geometric measures;
Univ.\ Utah; 1981;

%Barsky1981b
% larry, carl
\rhl{B}
\refJ Barsky, Brian A.;
Computer-aided geometric design: A bibliography with keywords and
classified index;
\ICGA; 1(3); 1981; 67--109;

%Barsky1982
% larry
\rhl{B}
\refJ Barsky,  B. A.;
End conditions and boundary conditions for uniform B-spline curve and
surface representations;
Computers in Industry; 3; 1982; 17--29;

%Barsky1984
\rhl{B}
\refJ Barsky,  B. A.;
Exponential and polynomial methods for applying tension to an
   interpolating spline curve;
\CVGIP; 27; 1984; 1--18;

%Barsky1988a
\rhl{B}
\refB Barsky,  B. A.;
Computer  Graphics   and Geometric Modeling Using Beta-splines;
Springer-Verlag (Heidelberg); 1988;

%Barsky1989a
% carl
\rhl{B}
\refJ Barsky, B. A.;
Author's comment: update on $\beta$-splines, letter to the editor;
\CAD; 21(7); 1989; 472;

%BarskyBeatty1982
% barsky
\rhl{B}
\refR Barsky,  B. A., Beatty, J. C.;
Varying the betas in beta-splines;
Tech.\ Rep.\ UCB/CSD 82/112 Berkeley (also TR CS-82-49, DCS, Waterloo); 1982;

%BarskyBeatty1983a
\rhl{B}
\refQ Barsky,  B. A., Beatty, J. C.;
Controlling the shape of parametric B-spline and beta-spline curves;
(Graphics Interface, '83), xxx (ed.), xxx (Edmonton); 1983; 223--232;

%BarskyBeatty1983b
% larry
\rhl{B}
\refJ Barsky,  B. A., Beatty, J. C.;
 Local control of bias and tension in Beta splines;
\TOG; 2; 1983; 109--134;

%BarskyDeRose1984
% barsky
\rhl{B}
\refR Barsky,  B. A., DeRose, T. D.;
Geometric continuity of parametric curves;
TR UCB/CSD 84/205, Berkeley, October; 1984;

%BarskyDeRose1985
% larry, carl
\rhl{B}
\refJ Barsky, Brian A., DeRose, Tony D.;
The $\beta2$--spline: a special case of the $\beta$-spline curve and
surface representation;
\ICGA; 5(9); 1985; 46--58;
% correction in `Letter to the Editor', \ICGA, 7(3), 1987, 15

%BarskyDeRose1990a
\rhl{B}
\refJ Barsky,  B. A., DeRose, T. D.;
Geometric continuity of parametric curves: Three equivalent
characterizations;
\CGA; 9; 1990; 60--68;

%BarskyGreenberg1980
\rhl{B}
\refJ Barsky,  B. A., Greenberg, D. P.;
Determining a set of B-spline control vertices to generate an
interpolating surface;
Computer Graphics Image Proc.; 14; 1980; 203--226;

%BarskyGreenberg1982
% larry, carl
\rhl{B}
\refJ Barsky, Brian A., Greenberg, Donald P.;
Interactive surface representation system
	 using a B-spline formulation with interpolation capability;
\CAD; 14(4); 1982; 187--194;
% computer-aided design, surface modelling.

%Bartels1983
\rhl{B}
\refR Bartels,  R. H.;
Splines in interactive computer graphics;
Waterloo; 1983;

%Bartels1994
% larry
\rhl{B}
\refP Bartels, R.;
Object oriented spline software;
\ChamonixIIa; 27--34;

%BartelsBarskyBeatty1985
\rhl{B}
\refB Bartels,  R. H., Barsky, B. A., Beatty, J. C.;
An introduction to the use of spline functions in computer graphics;
Lecture Notes, SIGGRAPH ${}'$85 (San Francisco); 1985;

%BartelsBeatty1984
\rhl{B}
\refR Bartels,  R. H., Beatty, J. C.;
       Beta-splines with a difference;
 Waterloo; 1984;

%BartelsBeatty1997
% larry 10sep99
\rhl{BB}
\rhl{B}
\refP R. H. Bartels, R. H.,  Beatty, J. C.;
Connection-matrix splines by divided differences;
\ChamonixIIIa; 9--16;

%BartelsBeattyBarsky1987
\rhl{B}
\refB Bartels,  R. H., Beatty, J. C., Barsky, B. A.;
An Introduction to Splines for Use in Computer Graphics \& Computer Modeling;
Morgan Kaufmann Publ. (Los Altos, CA); 1987;

%BartelsConnSinclair1999
% larry
\rhl{B}
\refJ Bartels,  R., Conn, A., Sinclair, J.;
Minimization techniques for piecewise differentiable functions:
the $\ell_1$ solution to an overdetermined linear system;
\SJNA; 15; 1978; 224--241;

%BartelsForsey1991
% Stephen Mann 26aug99
\rhl{B}
\refR Bartels, R., Forsey, D.;
Spline overlay surfaces;
CS-92-08, Computer Science Department, University of Waterloo; 1991;

%BartelsSHigham1992a
% carl
\rhl{B}
\refJ Bartels,  S. G., Higham, D. J.;
The structured sensitivity of Vandermonde-like systems;
\NM; 62; 1992; 17--34;

%BartelsWarn1991
% scott
\rhl{B}
\refR Bartels,  R., Warn, D.;
Experiments with constrained curvature continuous patch boundary fitting;
General Motors Research Report CS-639, April 19; 1991;

%Bartelt1975
\rhl{B}
\refJ Bartelt,  M. W.;
Weak Chebychev sets and splines;
\JAT; 19; 1975; 30--37;

%BarteltMcLaughlin1973
% sonya
\rhl{B}
\refJ Bartelt,  M. W., McLaughlin, H. W.;
Characterizations of strong unicity in approximation theory;
\JAT; 9; 1973; 255--266;

%Bary1964
% . 05mar08
% authors 05mar08
\rhl{B}
\refB Bary, N. K.;
A treatise on trigonometric series;
Macmillan (xxx); 1964;
% Nina Karlovna, MR0171116 (30 \#1347)

%BastienDubuc1976
% larry
\rhl{B}
\refJ Bastien,  R., Dubuc, S.;
Systemes faibles de Tchebycheff et polynomes de Bernstein;
\CJM; 28; 1976; 653--658;

%Baszenski1985
\rhl{B}
\refP Baszenski,  G.;
$n$-th order polynomial spline blending;
\MvatIII; 35--46;

%BaszenskiDelvos1986
\rhl{B}
\refR Baszenski,  G., Delvos, F.-J.;
Boolean algebra and multivariate interpolation;
Bochum; 1986;

%BaszenskiDelvos1987
\rhl{B}
\refP Baszenski,  G., Delvos, F.;
Boolean methods in Fourier approximation;
\Chile; 1--12;

%BaszenskiDelvosHackenberg1982
\rhl{B}
\refP Baszenski,  G., Delvos, F. J., Hackenberg, K.;
Remarks on reduced Hermite interpolation;
\MvatII; 47--58;

%BaszenskiDelvosPosdorf1978a
\rhl{B}
\refR Baszenski,  G., Delvos, F. J., Posdorf, H.;
Darstellungsformeln zur zweidimensionalen reduzierten
Hermite-Interpolation;
Rpt.\ 7805, Bochum; 1978;

%BaszenskiDelvosPosdorf1978b
\rhl{B}
\refR Baszenski,  G., Delvos, F. J., Posdorf, H.;
Zur $C^m-$Konformen zweidimensionalen Melkes--Interpolation;
Rpt.\ 7809, Bochum; 1978;

%BaszenskiDelvosPosdorf1979
\rhl{B}
\refP Baszenski,  G., Delvos, F. J., Posdorf, H.;
Boolean methods in bivariate reduced Hermite interpolation;
\MvatI; 47--58;

%BaszenskiDelvosPosdorf1980a
\rhl{B}
\refR Baszenski,  G., Delvos, F. J., Posdorf, H.;
Zur zweidimensionalen konformen extended Melkes Interpolation;
Rpt.\ 8002, Bochum; 1980;

%BaszenskiDelvosPosdorf1980b
% larry
\rhl{B}
\refP Baszenski,  G., Delvos, F. J., Posdorf, H.;
Representation formulas for conforming bivariate interpolation;
\TexasIII; 193--198;

%BaszenskiDelvosPosdorf1982
\rhl{B}
\refR Baszenski,  G., Delvos, F. J., Posdorf, H.;
Darstellungsformeln und Fehler\-absch\"atz\-ungen
  f\"ur Elemente der Hermite-Interpolation;
Rpt.\ 8202, Bochum; 1982;

%BaszenskiSchumaker1984
% carlrefs 20nov03
\rhl{B}
\refR Baszenski,  G., Schumaker, L. L.;
On a method for smoothing data with noisy abscissae;
CAT 67, C. Approx.\ Theory, Math., TAMU; 1984;

%BaszenskiSchumaker1986
% larry
\rhl{B}
\refP Baszenski,  G., Schumaker, L. L.;
Tensor products of abstract smoothing splines;
\Szabados; 181--192;

%BaszenskiSchumaker1988
% larry
\rhl{B}
\refJ Baszenski,  G., Schumaker, L. L.;
On a method for fitting an unknown function based on mean-value measurements;
\SJNA; 24; 1988; 725--736;

%BaszenskiSchumaker1991
% larry
\rhl{B}
\refP Baszenski,  G., Schumaker, L. L.;
Use of simulated annealing to construct triangular facet surfaces;
\ChamonixI; 27--32;

%BaszenskiTasche1994
% larry
\rhl{B}
\refP Baszenski, G., Tasche, M.;
Fast DCT--algorithms, interpolating wavelets, and hierarchical bases;
\ChamonixIIb; 37--50;

%BatchaResse1959
\rhl{B}
\refJ Batcha,  J. P., Resse, J. R.;
Surface determination and automatic contouring for mineral exploration,
    extraction and processing;
Quart.\ Colorado School of Mines; XX; 1959; 1--14;

%BatesLindstromWahbaYandell1985
\rhl{B}
\refR Bates,  D. M., Lindstrom, M. J., Wahba, G., Yandell, B. S.;
GCVPACK-Routines for generalized cross-validation;
Report 775, Dept.\ Statistics, Univ.\ Wisconsin; 1985;

%Bath1984
% larry
\rhl{B}
\refR Bath,  K. G.;
Automated cartography using triangulated irregular
	 networks and splines under tension;
MS thesis, Texas A \& M Univ.; 1984;

%Battaglia1978
\rhl{B}
\refJ Battaglia,  F.;
Analisi di superfici di utilit\`a mediante funzioni di tipo spline
bilineare;
Calcolo; 15; 1978; 233--248;

%Battle1987
\rhl{B}
\refJ Battle,  G.;
A block spin construction of ondelettes, Part I: Lemarie Functions;
\CMP; 110; 1987; 601--615;

%Battle1992
% larry
\rhl{B}
\refP Battle, G.;
Cardinal spline interpolation and the block spin construction of wavelets;
\ChuiWave; 73--90;

%Battle1993
\rhl{B}
\refR Battle, G.;
Spherically harmonic Huygen wavelets;
Texas A\&M; 1993;

%BattleFederbush1993
% larry
\rhl{B}
\refJ Battle, G., Federbush, P.;
Divergence-free vector wavelets;
Michigan Math Journal; 40; 1993; 181--195;

%BattleFederbushUhlig1999
\rhl{B}
\refR Battle, G., Federbush, P., Uhlig, P.;
Wavelets for quantum gravity and divergence-free wavelets;
xx; xx;

%Bauchat1994
% larry
\rhl{B}
\refP Bauchat, J. L.;
On polynomial functions defining the geometric continuity
between two (sbr) surfaces;
\ChamonixIIa; 35--42;

%Baum1976a
% sonya
\rhl{B}
\refJ Baum,  A. M.;
 Double hyperbolic splines on the real line;
\JAT; 18; 1976;  174--188;

%Baum1976b
% sonya
\rhl{B}
\refJ Baum,  A. M.;
An algebraic approach to simple hyperbolic
	 splines on the real line;
\JAT; 17; 1976;  189--199;

%Baumann1974
\rhl{B}
\refR Baumann,  A.;
Die Konstruktion bester Tschebyscheff-Approximationen mit Splines bei
freien Knoten;
Munster; 1974;

%Baumeister1974
% larry
\rhl{B}
\refD Baumeister,  J.;
Extremaleigenschaft nichtlinearer Splines;
Univ.\ Munich; 1974;
% Extremaleigenschaften nichtlinearer Splines?

%Baumeister1976
% larry
\rhl{B}
\refJ Baumeister,  J.;
\"Uber die Extremaleigenschaft nichtlinearer interpolierender Splines;
\NM; 25; 1976; 433--445;

%Baumeister1976b
% larry
\rhl{B}
\refP Baumeister, J.;
Splines in Orlicz spaces;
\Law;  101--110;

%Baumeister1977a
% carl
\rhl{B}
\refJ Baumeister,  J.;
Variationsprobleme in Orliczr\"aumen und Splines;
\MM; 20; 1977; 29--49;

%Baumeister1977b
\rhl{B}
\refR Baumeister,  J.;
Bemerkungen zur Charakterisierung von absolut stetigen Funktionen;
Munich; 1977;

%BaumeisterSchumaker1976b
% larry
\rhl{B}
\refJ Baumeister,  J. W., Schumaker, L. L.;
Nonlinear classes of splines and variational problems;
\JAT; 18; 1976; 63--73;

%BaumgardnerFredrickson1983
\rhl{B}
\refR Baumgardner,  J. R., Fredrickson, P. O.;
Icosahedral discretization of the two-sphere;
Los Alamos; 1983;

%Bauschinger2000a
% sauer
\rhl{}
\refQ Bauschinger, J.;
Interpolation;
(Encyclop\"adie der Mathem.\ Wiss., Bd.~I, Teil 2), ??? (ed.),
 B. G. Teubner (Leipzig); 1900; 800--821;

%BaxterB1991
% greg
\rhl{B}
\refJ Baxter,  B. J. C.;
Conditionally positive functions and $p$-norm distance matrices;
\CA;  7; 1991; 427--440;

%BaxterB1991
\rhl{B}
\refR Baxter,  B. J. C.;
Norm estimates for inverses of Toeplitz distance matrices;
Report  \#NA16, DAMTP, University of Cambridge; 1991;
% to appear in \JAT

%BaxterB1992a
% .
\rhl{B}
\refD Baxter, B. J. C.;
The interpolation theory of radial basis functions;
Trinity College, Cambridge University; 1992;

%BaxterB1992b
% .
\rhl{B}
\refP Baxter, B. J. C.;
Norm estimates for inverses of distance matrices;
\Oslo; 9--18;
% radial basis functions, Gaussian

%BaxterBMicchelli1994
% .
\rhl{B}
\refJ Baxter, B. J. C., Micchelli, C. A.;
Norm estimates for the $\ell^2$-inverses of multivariate Toeplitz matrices;
\NA; 1; 1994; 103--117;
% radial basis functions, Gaussian

%BaxterBSivakumarWard1994
% carl
\rhl{B}
\refJ Baxter, B. J. C., Sivakumar, N., Ward, J. D.;
Regarding the $p$-norms of radial basis interpolation matrices;
\CA; 10(4); 1994; 451--468;

%BaxterLBlischeMcConalogueScheuer1982a
\rhl{B}
\refJ Baxter,  L., Blischke, W., McConalogue, D., Scheuer, E.;
On the tabulation of the renewal function;
Technometrics; 24; 1982; 151--156;

%BaxterSivakumar1996
% author 12mar97
\rhl{B}
\refJ Baxter, B. J. C., Sivakumar, N.;
On shifted cardinal interpolation by Gaussians and multiquadrics;
\JAT; 87; 1996; 36--59;

%Bazarkhanov1996a
% author 5dec96
\rhl{B}
\refJ Bazarkhanov, D. B.;
Approximation of certain classes of smooth periodic functions of several
   variables by interpolating splines with respect to uniform grid (in Russian);
\MaZ; 57(6); 1995; 917--919;

%Bazarkhanov1996a
% carl 5dec96
\rhl{B}
\refJ Bazarkhanov, D. B.;
Multivariate periodic spline interpolation on uniform grid;
\EJA; 2(3); 1996; 381--392;
% ... to data on a shifted uniform grid. The issue is correctness.

%BazeleyCheungIronsZienkiewicz1966
% .
\rhl{B}
\refQ Bazeley,  G. P., Cheung, Y. K., Irons, B. M., Zienkiewicz, O. C.;
Triangular elements in plate bending, conforming and nonconforming solutions;
(Proc.\ 1st Conf.\ Matrix Methods in Structure Mechanics, AFFDL-TR-CC--80), 
xxx (ed.), Wright Patterson A.F. Base (Ohio); 1966; 547--576;
% nonconforming, FEM, multivariate, polynomial interpolation

%Beatson1981
% author
\rhl{B}
\refJ Beatson,  R. K.;
Convex approximation by splines;
\SJMA; 12; 1981; 549--559;

%Beatson1982a
% carl
\rhl{B}
\refJ Beatson,  R. K.;
Monotone and convex approximation by splines:  error
 estimates and a curve fitting algorithm;
\SJNA; 19; 1982; 1278--1285;

%Beatson1982b
% carl
\rhl{B}
\refJ Beatson,  R. K.;
Restricted range approximation by splines and variational
inequalities;
\SJNA; 19; 1982; 372--380;

%Beatson1982c
% author 10nov97
\rhl{B}
\refJ Beatson, R. K.;
Best monotone approximation by reciprocals of polynomials;
\JAT; 36; 1982; 99--103;

%Beatson1986
% author
\rhl{B}
\refJ Beatson,  R. K.;
On the convergence of some cubic spline interpolation schemes;
\SJNA; 23; 1986; 903--912;

%Beatson1999b
\rhl{B}
\refR Beatson,  R. K.;
Monotone approximation by splines by means of restricted range
approximation to the first derivative;
XX; 19xx;

%BeatsonChacko1989
% carl
\rhl{B}
\refP Beatson,  R. K., Chacko, E.;
A quantitative comparison of end conditions for cubic spline interpolation;
\TexasVI; 77--80;

%BeatsonChacko1992
% sherm, vol and page update
\rhl{B}
\refJ Beatson,  R. K., Chacko, E.;
Which Cubic Spline Should One Use?;
\SJSSC; 13(4); 1992; 1009--1025;

%BeatsonCherrieRagozin2000
% larry 20apr00
\rhl{}
\refP Beatson, R. K., Cherrie, J. B., Ragozin, David L.;
Polyharmonic splines in $\RR^d$: tools for fast evaluation;
\Stmalof; 47--56;

%BeatsonDyn1996a
% shayne 5dec96
\rhl{B}
\refJ Beatson, R. K., Dyn, N.;
Multiquadric B--splines;
\JAT; 87; 1996; 1--24;

%BeatsonGoodsellPowell1996
% author 20jun97
\rhl{B}
\refQ Beatson, R. K., Goodsell, G., Powell, M. J. D.;
On multigrid techniques for thin plate spline interpolation in two
   dimensions;
(The Mathematics of Numerical Analysis), J. Renegar, M. Shub, S. Smale
(eds.), Amer,\ Math.\ Soc.{} (Providence); 1996; 77--97;

%BeatsonGreengard1997
% . 24mar99
\rhl{B}
\refQ Beatson, R. K., Greengard, L. L.;
A short course on fast multipole methods;
(Wavelets, Multilevel Methods and Elliptic PDEs), M. Ainsworth, J. Levesley,
W. A. Light, and M. Marletta (eds.), 
Oxford University Press (Oxford, England); 1997; 1--37;

%BeatsonLeviatan1983
% author
\rhl{B}
\refJ Beatson,  R. K., Leviatan, D.;
On comonotone approximation;
\CMB; 26; 1983; 220--224;

%BeatsonLight1992
% author 10nov97
\rhl{B}
\refP Beatson, R. K., Light, W. A.;
Quasi-interpolation in the absence of polynomial reproduction;
\Nmatnion; 21--39;

%BeatsonLight1993
% carl
\rhl{B}
\refJ Beatson,  R. K., Light, W. A.;
Quasi-interpolation by thin-plate splines on a square;
\CA; 9 (4); 1993; 407--433;

%BeatsonLight1997
%  24mar99
\rhl{B}
\refJ Beatson, R. K., Light, W. A.;
Fast evaluation of radial basis functions: Methods for 2-dimensional
   polyharmonic splines;
\IMAJNA; 17; 1997; 343--372;

%BeatsonLightBillings2000
% carl 21jan02
\rhl{}
\refJ Beatson, R. K., Light, W. A., Billings, S.;
Fast solution of radial basis function interpolation equations: Domain
   decomposition;
\SJSC; 22(5); 2000; 1717--1740;

%BeatsonNewsam1992
%  24mar99
\rhl{B}
\refJ Beatson, R. K., Newsam, G. N.;
Fast evaluation of radial basis functions: I;
\CMA; 24; 1992; 7--19;

%BeatsonNewsam1997
% carl 21jan02
\rhl{}
\refJ Beatson, R. K., Newsam, G. N.;
Fast evaluation of radial basis functions: Moment based methods;
\SJSC; xx; 1997; xxx--xxx;

%BeatsonNewsam1998
%  24mar99
\rhl{B}
\refJ Beatson, R. K., Newsam, G. N.;
Fast evaluation of radial basis functions: Moment-based methods;
\SJSC; 19(5); 1998; 1428--1449;

%BeatsonPowell1992a
% sherm, vol and page update
\rhl{B}
\refJ Beatson,  R. K., Powell, M. J. D.;
Univariate interpolation on a regular finite grid by a multiquadric plus a
linear polynomial;
\IMAJNA; 12(1); 1992; 107--133;

%BeatsonPowell1992b
% carl
\rhl{B}
\refJ Beatson,  R. K., Powell, M. J. D.;
Univariate multiquadric approximation: Quasi-interpolation to scattered data;
\CA; 8; 1992; 275--288;

%BeatsonPowell1994a
% author 20jun97, other author
\rhl{B}
\refQ Beatson,  R. K., Powell, M. J. D.;
An iterative method for thin plate spline interpolation that employs
approximations to Lagrange functions;
(Numerical Analysis 1993), D. F. Griffiths and G. A. Watson
(eds.), Pitman Res.\ Notes Math.\ Series~303, Longman Sci.~Tech (Harlow);
1994; 17--39;
% Report No.\ DAMTP 1993/NA12, University of Cambridge: 1993:

%BeatsonTanPowell9x
%  24mar99
\rhl{B}
\refR Beatson,  R. K., Tan, A. M.,  Powell, M. J. D.;
Fast evaluation of radial bais functions: method for 3-dimensional
   poly-harmonic splines;
preprint; 1998;

%BeatsonWolkowicz1989
% author 10nov97
\rhl{B}
\refJ Beatson, R. K., Wolkowicz, H.;
Post-processing piecewise cubics for monotonicity;
\SJNA; 26; 1989; 480--502;

%BeatsonZiegler1985
% carl
\rhl{B}
\refJ Beatson,  R., Ziegler, Z.;
Monotonicity preserving surface interpolation;
\SJNA; 22; 1985; 401--411;

%BeatyDodsonHiggins1994
% carl
\rhl{B}
\refJ Beaty, M. G., Dodson, M. M., Higgins, J. R.;
Approximating Paley-Wiener functions by smoothed step functions;
\JAT; 78(3); 1994; 402--409;

%BecarFiorot1997
% larry 10sep99
\rhl{BF}
\refP B\'ecar, J. P., Fiorot, J. C.;
Massic-vector-based conics modelling;
\ChamonixIIIa; 17--24;

%Bechtloff1992
% author 6aug96
\rhl{B}
\refD Bechtloff, J\"urgen;
Interpolationsverfahren h\"oheren Grades f\"ur Robotersteuerungen;
TU Braunschweig; 1992;
% realtime local spline-algorithmen for realy 6-dregree-kinematics.
% Realised in CVolkswagen-Robotic-Control-System
% Also awaileble:
% integer-Algorithms for 3-degree-Local-Splines
% symmetric Bezier-Curves
% monotone Bezier-Curves
% Author also submitted the paper
% Interpolationsverfahren f\"ur Bahnkurven:
% ZWF CIM: 1-2: 94: 52--54:
% but his email (022643358-0001\@t-online.de) makes no sense and I don't
% know the journal.

%BeckermannCarstensen1993a
\rhl{B}
\refJ Beckermann, B., Carstensen, and C.;
A reliable modification of the cross rule for rational Hermite interpolation;
Numerical Algorithms; 3; 1993; xxx--xxx;

%Bedau1969
\rhl{B}
\refJ Bedau,  V. K.;
Darstellung und Fortschreibung von Einkommensschichtungen
	unter Verwendung von Spline-Funktionen;
Vierteljahrshefte zur Wirtschaftsforschung; xx; 1969;  406--425;

%Beesack1958
% shayne  19nov95
\rhl{B}
\refJ Beesack, P. R.;
Integral inequalities of the Wirtinger type;
\DMJ; 25; 1958; 477--498;
% various inequalities of Wirtinger type obtained by considering associated
% differential equations, also, see FinkMitrinovicPecaric91

%Beesack1971a
% shayne 05feb96
\rhl{B}
\refJ Beesack, P. R.;
Integral inequalities involving a function and its derivative;
\AMMo; 78; 1971; 705--740;
% more on Wirtinger inequalities related to Hermite interpolation

%BehforoozPapamichael1979
% carl 04mar10
\rhl{BPW}
\refJ Behforhooz, G. H., Papamichael, N.;
End conditions for cubic spline interpolation;
\JIMA; 23; 1979; 355--366;

%BehforoozPapamichaelWorsey1980
% carl 04mar10
\rhl{BPW}
\refJ Behforhooz, G. H., Papamichael, N., Worsey, A. J.;
A class of piecewise-cubic interpolatory polynomials;
\JIMA; 25; 1980; 53--65;
% ClenshawNegus78

%BehrforoozPapamichael1979a
% larry
\rhl{B}
\refJ Behrforooz,  G. H., Papamichael, N.;
Improved orders of approximation derived from interpolatory cubic splines;
BIT; 19; 1979; 19--26;

%BehrforoozPapamichael1979b
% larry
\rhl{B}
\refJ Behrforooz,  G. H., Papamichael, N.;
End conditions for cubic spline interpolation;
\JIMA; 23; 1979; 355--366;

%BehrforoozPapamichael1980
% larry
\rhl{B}
\refJ Behrforooz,  G. H., Papamichael, N.;
End conditions for interpolatory  cubic splines with unequally spaced
knots;
\JCAM; 6; 1980;  59--65;

%BehrforoozPapamichael1981
% larry
\rhl{B}
\refJ Behrforooz,  G. H., Papamichael, N.;
End conditions for interpolatory quintic splines;
\IMAJNA;   1; 1981; 81--93;

%BehrforoozPapamichaelWorsey1980
% larry
\rhl{B}
\refJ Behrforooz,  G. H., Papamichael, N., Worsey, A. J.;
A class of piecewise cubic interpolatory polynomials;
\JIMA; 25; 1980; 53--65;

%Bejancu1997
% carl 29apr97
\rhl{B}
\refR Bejancu, Aurelian;
The uniform convergence of multivariate natural splines;
DAMPT, Cambridge (England); 1997;

%Bejancu1999
% author 02feb01
\rhl{}
\refD Bejancu{, Jr.}, Aurelian;
Convergence Properties of Surface Spline Interpolation;
University of Cambridge; 1999;

%Bejancu2000a
% author 02feb01
\rhl{}
\refJ Bejancu{, Jr.}, Aurelian;
On the accuracy of surface spline approximation and interpolation to bump
   functions;
\PEMS; xx; 200x; xxx--xxx;

%Bejancu2000b
% carl 02feb01
\rhl{}
\refR Bejancu{, Jr.}, Aurelian;
A new approach to semi-cardinal spline interpolation;
% ms, University of Cambridge, Clare College, Cambridge CB2 1TL (England): 2000:
\EJA; 4; 2000; 447--463;
% Wiener-Hopf, with a splitting that deals appropriately with zeros on the 
% unit circle

%Bejancu2000c
% carl 02feb01
\rhl{}
\refR Bejancu{, Jr.}, Aurelian;
Polyharmonic spline interpolation on a semi-space lattice;
% ms, University of Cambridge, Clare College, Cambridge CB2 1TL (England): 2000:
\EJA; 4; 2000; 465--491;

%Beliakov2003
% carl
\rhl{}
\refJ Beliakov, Gleb;
Geometry and combinatorics of the cutting angle method;
Optimization; 52(4-5); 2003; 379--394;
% copy of paper available at citeseer

%Beliakov2004
% .
\rhl{}
\refJ Beliakov, Gleb;
Least squares splines with free knots: Global optimization approach;
Appl.\ Math.\ Comput.; 149(3); 2004; 783--798;
% uses the cutting angle method, well suited to optimization on a simplex,
% followed by a local discrete gradient method and claims to obtain the global
% minimum.
% author has a Global and Non-smooth optimization toolbox at MATLAB Central
% but it uses propriatory software that isn't free for bigger problems, and
% the one review I saw was mixed.

%Bell1934
% carl 04mar10
\rhl{}
\refJ Bell, E. T.;
Exponential polynomials;
\AM; 35; 1934; 258--277;
% i.e., polynomials that appear when functions x\mapsto exp(f(x)) are
% differentiated, or expanded in power series.
% cited in Riordan46, generalizes Appell polynomials

%BellmanKashefVasudevan1971
\rhl{B}
\refR Bellman,  R., Kashef, B. G., Vasudevan, R.;
Splines via dynamic programming;
USC; 1971;

%BellmanKashefVasudevan1973a
\rhl{B}
\refJ Bellman,  R., Kashef, B. G., Vasudevan, R.;
A note on mean square spline approximation;
\JMAA; 42; 1973; 427--430;

%BellmanKashefVasudevan1973b
\rhl{B}
\refJ Bellman,  R., Kashev, B. G., Vasudevan, R.;
Dynamic programming and bicubic spline interpolation;
\JMAA; 44; 1973; 160--174;

%BellmanKashefVasudevan1974
\rhl{B}
\refJ Bellman,  R., Kashef, B. G., Vasudevan, R.;
Mean square spline approximation;
\JMAA; 45; 1974; 47--53;

%BellmanRoth1969
% larry
\rhl{B}
\refJ Bellman,  R., Roth, R.;
Curve fitting by segmented straight lines;
J.  Amer.\  Stat.\ Assoc; 64; 1969;  1079--1084;
% free knots

%Belov1971
\rhl{B}
\refJ Belov,  Yu.\ A.;
On an algorithm for piecewise polynomial approximation;
Vycisl.\  Prikl.\  Mat.; 14; 1971;  77--83;

%BenArtziRon1988
% larry
\rhl{B}
\refJ Ben-Artzi,  A., Ron, A.;
Translates of exponential box splines and their related spaces;
\TAMS; 309(2);  1988; 683--710;

%BenArtziRon1990
\rhl{B}
\refJ Ben-Artzi,  A., Ron, A.;
On the integer translates of a compactly supported function:  dual 
bases and linear projectors;
\SJMA; 21; 1990; 1550--1562;
% see ZhaoK92

%BenOrTiwary1988
\rhl{B}
\refJ Ben-Or,  ?., Tiwari, Prasoon;
A deterministic algorithm for sparse multivariate polynomial interpolation;
STOC-88; {}; 1988; 301--309;

%Benbourhim1982
% . 02feb01
\rhl{B}
\refD Benbourhim,  M. N.;
Fonctions ``splines'' d'approximation;
Th\`ese de 3\`eme cycle, Toulouse; 1982;

%Benbourhim1986
% carl 02feb01
\rhl{B}
\refJ Benbourhim,  M. N.;
Spline approximants in Hilbertian subspaces of $C(\Omega)$;
\NM; 49; 1986; 291--303;
% approximants --> approximation??

%Benbourhim2000
% larry 20apr00
\rhl{}
\refP Benbourhim, Mohammed-Najib;
Constructive approximation by $(v,f)$-reproducing kernels;
\Stmalof; 57--64;

%BenbourhimBouhamidi2005
% authors 05mar08
\rhl{BB}
\refJ Benbourhim, M. N., Bouhamidi, A.;
Approximation of vector fields by thin plate splines with tension;
\JAT; 136; 2005; 198--229;

%BenderBrodyMeister0x
% . 20nov03
\rhl{}
\refJ Bender, C. M., Brody, D. C., Meister, B. K.;
Inverse of a Vandermonde matrix;
J. Physics; xx; 200x; xxx--xxx;

%Bendixson1885
% carl 23jun03
\rhl{}
\refJ Bendixson, I.;
Sur la formule d'interpolation de Lagrange;
\CRASP; 101; 1885; 1050--1053, 1129--1131;
% follow-up on Hermite78; studies expansion 
% f(x) = \sum_{k=0}^\infty (1/2\pi\ii)\int_S f(z)P_k(x)/P_{k+1}(z) \dd z 
% with P_k(z):=(z-a_1)\cdots(z-a_k), and  S  a simple curve containing the a_k.
% Does not mention Frobenius71 where the same expansion is studied.
% Gives a recurrence formula for the \int_S f(z)/P_{k+1}(z) \dd z but never
% mentions divided differences or Ampere's fonctions interpolaires.

%BenedettoWalnut1994
% amos 20apr00
\rhl{BW} 
\refQ  Benedetto, John J.,  Walnut, David F.; 
Gabor frames for $L^2$ and related spaces;
(Wavelets: Mathematics and Applications),
J. Benedetto and M. Frazier (eds.), CRC Press (Boca Raton, Florida);
1994; 97--162;

%BengtssonNordbeck1964
\rhl{B}
\refJ Bengtsson,  B. E., Nordbeck, S.;
Construction of isarithms and isarithmic maps by computers;
BIT; 4; 1964; 87--105;

%BenimelisNinez1999
\rhl{B}
\refR Benimelis,  M. C., Ninez, C. O.;
The Buczkowski model in ship lines approximations;
Chile; 19xx;

%Bennett1972
% larry
\rhl{B}
\refR Bennett,  J. O.;
Spline smoothing of histograms by linear programming;
Rice Univ.; 1972;

%Bennett1974
% larry
\rhl{B}
\refD Bennett,  J. O.;
Estimation of multivariate probability density functions using B-splines;
Rice Univ.; 1974;

%Bennett1998
% carl 24mar99
\rhl{B}
\refJ Bennett, John O.;
Mapping the foot of the continental slope with spline-smoothed data using the
   second derivative in the gradient direction;
Internat.\ Hydrographic Rev.; LXXV(2); 1998; 51--77;
% bicubic spline smoothing to obtain line of maximum rate of change in slope

%Benson1993a
% shayne 26oct95
\rhl{B}
\refB Benson, D. J.;
Polynomial invariants of finite groups;
London Math.\ Soc.\ Lecture Note Series 190, Cambridge University Press
(England); 1993;
% good reference

%BercovierVolpinMatskewich1997
% larry 10sep99
\rhl{BVM}
\refP Bercovier, M., Volpin, O., Matskewich, T.;
Globally  $G^1$ free form surfaces using Kirchhoff-Love plate
energy methods;
\ChamonixIIIa; 25--34;

%BerensDeVore
% shayne 12mar97
\rhl{B}
\refP Berens, H., DeVore, R.;
A characterisation of Bernstein polynomials;
\TexasIII; 213--219;

%BerensNurnberger1988
\rhl{B}
\refR Berens,  H., N\"urnberger, G.;
Non-uniqueness and selections in spline approximation;
Erlangen; 1988;

%BerensSchmidXuY1992
% carl 23may95
\rhl{B}
\refJ Berens,  H., Schmid, H. J., Xu, Yuan;
Bernstein-Durrmeyer polynomials on a simplex;
\JAT; 68; 1992; 247--261;

%BerensSchmidXuY1992b
% carlrefs 20nov03
\rhl{}
\refR  Berens, H., Schmid, H. J., Xu, Yuan;
On twodimensional definite orthogonal systems and on a lower bound for the
   number of nodes of associated cubature formulae;
ms; 1992;

%BerensSchmidXuY1995a
% carl 23may95
\rhl{B}
\refJ Berens, H.,Schmid, H. J., Xu, Yuan;
On two-dimensional definite orthogonal systems and a lower bound for the
   number of nodes of associated cubature formulae;
\SJMA; 26(2); 1995; 468--487;
% extension of [Krall and Scheffer, Ann.\ Mat.\ Pura Appl.: 76: 1967: 325--376]
% characterizing further all (nine) bivariate orthogonal polynomial systems 
% which are generated by a second-order differential equation. Get explicit
% three-term recurrence relation and show that M\"oller's lower bound on number
% of points in the associated cubature problem applies here.

%BerensXu1991
% waldron 26aug98
\rhl{B}
\refP Berens, H., Xu, Y.;
On Bernstein-Durrmeyer polynomials with Jacobi weights;
\ChuiforLorentz; 25--46;

%BerezinZhidkov1965
% . 14may99, 28sep12
\rhl{B}
\refB Berezin, Ivan Semionovich, Zhidkov, Nikolai Petrovich;
Computing Methods (vol.~1&2);
Pergamon (Oxford); 1965;
% Russian original: Metody vychislenii; Fizmatgiz, Moscow; 1959
% German translation, Deutscher Verlag der Wissenschaften, Hochschulb\"ucher
% f\"ur Mathematik, Bd.~70; 1970;

%Berg1986
% larry
\rhl{B}
\refJ Berg,  L.;
Interpolation and approximation by completely monotonous polynomials;
Colloq.\ Math.\ Soc.\ Janos Bolyai; 50; 1986; 589--604;

%Berg1987
% larry
\rhl{B}
\refJ Berg,  L.;
Existence, characterization and application of interpolating minimal
polynomials;
Optimization; 18; 1987; 55--63;

%BergerTasche1988
% sonya
\rhl{B}
\refJ Berger,  G., Tasche, M.;
Hermite-Lagrange interpolation and Schur's expansion of $\sin \pi x$;
\JAT; 53; 1988; 17--25;

%BergerWangY1992a
\rhl{B}
\refP Berger,  M. A., Wang, Y.;
Multidimensional two-scale dilation
equation;
\ChuiWave; 295--324;

%BergerWebster1963
\rhl{B}
\refR Berger,  S. A., Webster, W. C.;
An application of linear programming to the fairing of ship lines;
in Graves; 241--253;

%BergerWebsterTapiaAtkins1966
% larry carlrefs
\rhl{B}
\refJ Berger,  S. A., Webster, W. C., Tapia, R. A., Atkins, D. A.;
Mathematical ship lofting;
J.\ Ship Research; 10; 1966; 203--222;

%BergthalerSinger1992
\rhl{B}
\refJ Bergthaler,  C., Singer, Ivan;
The Distance to a Polyhedron;
\LAA; 169; 1992; 111--130;

%BerkovitzPollard1967
% larry
\rhl{B}
\refJ Berkovitz,  L. D., Pollard, H.;
A non-classical variational problem arising from an optimal filter
problem;
Arch.\ Rat.\ Mech.\ Anal.; 26; 1967; 281--304;

%BerkovitzPollard1969
% larry
\rhl{B}
\refJ Berkovitz,  L. D., Pollard, H.;
A variational problem related to an optimal filter problem with
self-correlated noise;
\TAMS; 142; 1969; 153--175;

%BerkovitzPollard1970a
% larry
\rhl{B}
\refJ Berkovitz,  L. D., Pollard, H.;
A non-classical variational problem arising from an optimal filter
problem.\ II;
Arch.\ Rat.\ Mech.\ Anal.; 38; 1970; 161--172;

%BerkovitzPollard1971
% larry
\rhl{B}
\refJ Berkovitz,  L. D., Pollard, H.;
Addenda to 'A variational problem related to an optimal 
filter problem with self-correlated noise';
\TAMS; 157; 1971; 499--504;

%Berman1969
% larry
\rhl{B}
\refJ Berman,  D. L.;
A study of the Hermite-Fejer interpolation process;
Soviet Math.\ Dokl.; 10; 1969; 813--816;

%Bernstein1912
% . 20apr00
\rhl{}
\refJ Bernstein, S. N.;
D\'emonstration du th\'eor\`eme de Weierstrass fond\'ee sur le calcul des
   probabilit\'es;
Commun.\ Soc.\ Math.\ Kharkov (Soobshch.\ Kharkov matem.\ ob-va); 13(2);
1912; 1--2;
% Bernstein polynomial
% Impossible to get the original. Russian translation in Bernstein52, pp105--106
% See also Pinkus0x re Weierstrass

%Bernstein1912a
% carl 16aug02
\rhl{}
\refJ Bernstein, S. N.;
Sur l'ordre de la meilleure approximation des fonctions continues par les
   polyn\^omes de degr\'e donn\'e;
M\'em.\ C.\ Sci.\ Acad.\ Roy.\ Belg., 2.Ser.; 4; 1912; 1--103;
% inverse theorem, finished in LaValleePoussin

%Bernstein1913
% . 23jun03
\rhl{}
\refJ Bernstein, S.;
Sur la meilleure approximation de $|x|$ par des polyn\^omes de degr\'es
   donn\'es;
Acta Math.; 37; 1913; 1--57;

%Bernstein1926
% shayne 6aug96
\rhl{B}
\refB Bernstein, S.;
Le\c cons sur les propri\'et\'es extr\'emales et la meilleure approximation
   des fonctions analytiques d'une variable r\'eele;
Gauthier--Villars (Paris); 1926;

%Bernstein1931
% . 6aug96
\rhl{B}
\refJ Bernstein, S.;
Sur la limitation des valeurs d'une polyn\^ome $P_n(x)$ de degr\'e $n$ sur
   tout un segment par ses valeurs en $n+1$ points du segment;
Izv.\ Akad.\ Nauk SSSR; 7; 1931; 1025--1050;
% Bernstein conjecture re optimal interpolation nodes

%Bernstein1952
% carl 20apr00
\rhl{}
\refB Bernstein, Serge;
Sobranie sochinenii;
Izd-vo Akademii nauk SSSR (Moskva); 1952--1964;
% Bernstein collected works, in 4 volumes:
% t.1. Konstruktivnaia teoriia funktsii (1905-1930)
% t.2. Konstruktivnaia teoriia funktsii (1931-1953)
% t.3. Differentsial'nye uravneniia, variatsionnoe ischislenie
%    i geometriia (1903-1947)
% t.4. Teoriia veroiatnostei, matematicheskaia statistika (1911-1946).
% For his list of publications, i.e.,
% Spisok trudov akademika S. N. Bernshteina, see t.1, 565--577.

%BerroneUrban2000
% larry 20apr00
\rhl{}
\refP Berrone, Stefano, Urban, Karsten;
Adaptive wavelet Galerkin methods on distorted domains: setup of the
   algebraic system;
\Stmalof; 65--74;

%Berrut1993a
% carl
\rhl{B}
\refJ Berrut,  Jean-Paul;
A closed formula for the \v Ceby\v sev barycentric weights of optimal
approximation in $H^2$;
\NA; 5; 1993; 155--163;

%BertinChassery1994
% larry
\rhl{B}
\refP Bertin, E., Chassery, J.-M.;
A 3D generalized Voronoi diagram for a set of polyhedra;
\ChamonixIIa; 43--50;

%Bertrand1950a
\rhl{B}
\refJ Bertrand,  J.;
La theorie des courbes a double courbure;
Journal de Mathematique Pures et Appliquees;  15; 1850; 332--350;

%Berzolari1914
% hakopian 03apr06
\rhl{}
\refJ Berzolari, L.;
Sulla determinazione d'una curva o d'una superficie algebrica e su alcune
   questioni di postulazione;
Rendiconti del R. Instituto Lombardo, Ser.~(2); 47; 1914; 556--564;
% multivariate polynomial interpolation: according JMF 45.0815.02, paper
% provides a simple way for determining a point set which is just one point 
% short of being correct for pols of degree \le n, i.e., of cardinality
% n(n+3)/2 points: start with a zero set Z(p) with just one branch of a pol p 
% of degree n; choose n straight lines that cut Z(p) at n simple points; take 
% two such points from the first, three such from the second, and n from the 
% second last and the last, and add to this one more point on Z(p) but not 
% on any of the lines, getting altogether 2+3+...+n+1 points, i.e., 
% (n+1)(n+2)/2-1. Then, taking one additional point, on the last straight line
% but not in Z(p), get a pointset correct for Pi_n(R^2).
% a precursor to Radon48, though it gets `Radon points' in a more complicated
% way. But it extends the construction to d-space.

%BesenghiAllasia2000
% larry 20apr00
\rhl{}
\refP Besenghi, Renata, Allasia, Giampietro;
Scattered data near-interpolation with application to discontinuous
   surfaces;
\Stmalof; 75--84;

%Besl1988a
% larry
\rhl{B}
\refJ Besl,  P. J.;
Active, optical range imaging sensors;
Machine Vision Appl.; 1; 1988; 127--152;

%Besl1988b
\rhl{B}
\refR Besl,  P. J.;
Geometric modeling and computer vision;
GM; 1988;

%BeslJain1988
% larry
\rhl{B}
\refJ Besl,  P. J., Jain, R. C.;
Segmentation through variable-order surface fitting;
IEEE Trans.\ Pattern Anal.\ Mach.\ Intell.; 10; 1988; 167--192;

%BeslPJBirchJBWatsonLT1989
% author 03dec99
\rhl{B}
\refJ Besl, P. J., Birch, J. B., Watson, L. T.;
Robust window operators;
Machine Vision Appl.; 2; 1989; 179--191;

%BessisDemko89;
\rhl{B}
\refR Bessis,  D., Demko, S.;
Stable recovery of fractal measures by polynomial sampling;
CEN-Saclay PhT/89-150; 1989;

%BettayebGoodman2011
% carl 25mar11
\rhl{}
\refJ Bettayeb, A., Goodman, T.;
Some properties of multi-box splines;
\JAT; 163(2); 2011; 197--212;

%Bey2000
% carl 02feb01
\rhl{}
\refJ Bey, J\"urgen;
Simplicial grid refinement: on Freudenthal's algorithm and the optimal
   number of congruence classes;
\NM; 85(1); 2000; 1--29;
% the number of different congruence classes of simplices generated by this
% refinement is minimal (namely n!/2 in \R^n)
% Freudenthal42

%BeyerSwartz1992
% carlrefs 20nov03
\rhl{}
\refJ Beyer, W. A., Swartz, B. K.;
Halfway points;
\SJMA; 23(5); 1992; 1332-1341;

%Bezhaev1984
\rhl{B}
\refQ Bezhaev,  A. Yu.;
Convergence of spline-interpolations with boundary conditions in a bounded  
domain;
(The finite element method in certain problems of numerical  analysis),
xxx (ed.),
Akad.\ Nauk SSSR Sibirsk.\ Otdel., Vychisl.\ Tsentr (Novosibirsk); 1984; 
4--20;

%BezhaevVasilenko1987
% shadrin 26aug99 carlrefs
\rhl{B}
\refJ Bezhaev, A. Yu., Vasilenko, V. A.;
Splines in Hilbert spaces and their finite-element approximations;
Soviet J. Numer.\ Anal.\ Math.\ Modelling; 3(2); 1987; 191--202;
% variational approach to splines.  See their book BezhaevVasilenko93

%BezhaevVasilenko1993
% carl 29apr97
\rhl{B}
\refB Bezhaev, A. Yu., Vasilenko, V. A.;
Variational Spline Theory;
Bulletin of the Novosibirsk Computing Center, Series: Numerical Analysis,
   Special Issue: 3,
   Russian Academy of Sciences, Siberian Branch, 
   NCC Publisher (Novosibirsk); 1993;
% see BezhaevVasilenko01

%BezhaevVasilenko2001
% carl  21jan02
\rhl{B}
\refB Bezhaev, Anatoly Yu., Vasilenko, Vladimir A.;
Variational Theory of Splines;
Kluwer/Plenum (New York); 2001;
% see BezhaevVasilenko93

%Bezier1970
\rhl{B}
\refB B\'ezier,  P. E.;
Emploi des Machines \`a Commande Num\'erique;
Masson et Cie (Paris); 1970;

%Bezier1972
\rhl{B}
\refB B\'ezier,  P. E.;
Numerical Control-Mathematics and Applications;
Wiley (London); 1972;

%Bezier1974
\rhl{B}
\refP B\'ezier,  P. E.;
Mathematical and practical possiblities of UNISURF;
\Barnhill; 127--152;

%Bezier1977
\rhl{B}
\refD B\'ezier,  P. E.;
Essai de d\'efinition num\'erique des courbes et des surfaces
exp\'erimentales;
Univ.\ Pierre et Marie Curie, Paris; 1977;

%Bezier1981
% larry, carl
\rhl{B}
\refJ B\'ezier, Pierre. E.;
A view of CAD/CAM;
\CAD; 13(4); 1981; 207--209;

%Bezier1988
% .
\rhl{B}
\refJ B\'ezier, Pierre. E.;
On de Boor-like algorithms and blossoming;
\CAGD; 5; 1988; 71--79;

%Bezier1993
% carl
\rhl{B}
\refP B\'ezier,  Pierre E.;
The first years of CAD/CAM and the UNISURF CAD system;
\Piegl; 13--26;
% expository

%BezierSioussiou1983
% larry, carl
\rhl{B}
\refJ B\'ezier, Pierre, Sioussiou, Salah;
Semi-automatic system for defining free-form curves and surfaces;
\CAD; 15(2); 1983; 65--72;
% parametric polynomials.

%Bhattacharyya1969
% larry
\rhl{B}
\refJ Bhattacharyya,  B. K.;
Bicubic spline interpolation as a method
	 for treatment of potential field data;
Geophys.; 34; 1969; 402--423;

%Bhattacharyya1971
% larry
\rhl{B}
\refJ Bhattacharyya,  B. K.;
An automatic method of compilation and
	 mapping of high resolution aeromagnetic data;
Geophys.; 36; 1971; 695--716;

%BhattacharyyaRaychaudhuri1967
\rhl{B}
\refJ Bhattacharyya,  B. K., Raychaudhuri, D. B.;
Aeromagnetic and geologic interpretation
  of a section of the Appalachian belt in Canada;
Canad.\ Earth Sci.; 4; 1967; 1015--1037;

%Bialecki1991
% author 23jun03
\rhl{}
\refJ Bialecki, B.;
An alternating direction implicit method for orthogonal spline collocation 
   linear systems;
\NM; 59; 1991; 413--429;

%Bialecki1994
% author 23jun03
\rhl{}
\refJ Bialecki, B.;
Preconditioned Richardson and minimal residual iterative methods for
   piecewise Hermite bicubic orthogonal spline collocation equations;
\SJSC; 15; 1994; 668--680;

%Bialecki1998
% author 23jun03
\rhl{}
\refJ Bialecki, B.;
Convergence analysis of orthogonal spline collocation for elliptic boundary
   value problems;
\SJNA; 35; 1998; 617--631;

%BialeckiCaiXC1994
% author 23jun03
\rhl{}
\refJ Bialecki, B., Cai, X.-C.;
$H^1$-norm error bounds for piecewise Hermite bicubic orthogonal spline
collocation schemes for elliptic boundary value problems;
\SJNA; 31; 1994; 1128--1146;

%BialeckiDryja1997
% author 23jun03
\rhl{}
\refJ Bialecki, B., Dryja, M.;
Multilevel additive and multiplicative methods for orthogonal spline
   collocation problems;
\NM; 77; 1997; 35--58;

%BialeckiFairweather1993
% author 23jun03
\rhl{}
\refJ Bialecki, B., Fairweather, G.;
Matrix decomposition algorithms for separable elliptic boundary value 
   problems in two dimensions;
\JCAM; 46; 1993; 369--386;

%BialeckiFairweather1995
% author 23jun03
\rhl{}
\refJ Bialecki, B., Fairweather, G.;
Matrix decomposition algorithms in orthogonal spline collocation for
   separable elliptic boundary value problems;
\SJSC; 16; 1995; 330--347;

%BialeckiFairweather2001
% author 23jun03
\rhl{}
\refJ Bialecki, B., Fairweather, G.;
Orthogonal spline collocation methods for partial differential equations;
\JCAM; 128; 2001; 55--82;

%BialeckiFairweatherBennett1992
% sherm,vol and page update
\rhl{B}
\refJ Bialecki,  B., Fairweather, G., Bennett, K. R.;
Fast direct solvers for piecewise Hermite bicubic orthogonal spline
collocation equations;
\SJNA; 29(1); 1992; 156--173;

%BialeckiFernandes1999
% author 23jun03
\rhl{}
\refJ Bialecki, B., Fernandes, R.;
An orthogonal spline collocation alternating direction implicit
   Crank-Nicolson method for linear parabolic problems on rectangles;
\SJNA; 36; 1999; 1414--1434;

%Bickley1968
% larry
\rhl{B}
\refJ Bickley,  W. G.;
Piecewise cubic interpolation and two-point boundary problems;
\CJ; 11; 1968; 206--208;

%Bickley1969
\rhl{B}
\refJ Bickley,  W. G.;
Correction to 'Piecewise cubic interpolation and two-point boundary
problems';
\CJ; xx; xx; xx;

%BienAPChengFH1987
% carl 04mar10
\rhl{}
\refJ Bien, At-Ping, Cheng, Fuhua;
Alternate spline: A generalized B-spline;
\JAT; 51(2); 1987; 138--159;
% construction is inductive, with each "B-spline" essentially the difference
% of a normalized integral of two neighboring "B-splines" of one order less.
% Not motivated. Standard B-splines are a special case.

%Biermann0x
% . 12mar97
\rhl{B}
\refB Biermann, Otto;
Vorlesungen \"uber mathematische N\"aherungsmethoden;
xxx (xxx); 190x;
% mentioned in Steffensen27 as the source of the Newton form and error term
% for interpolation at the triangular part of a rectangular grid. See
% Biermann03a,b

%Biermann2003a
% carl
\rhl{B}
\refJ Biermann,  Otto;
\"Uber n\"aherungsweise Cubaturen;
Monatsh.\ f\"ur Math.\ Phys.; XIV; 1903; 211--225;
% blending??, quadrature, multivariate
% Considers the dependencies which must exist among values given at the points
% of a rectangular grid if they are to come from a polynomial of *total* degree
% Gets the bivariate generalization of the Newton form of the interpolant with 
% error involving only the partial derivatives of the next level.

%Biermann2003b
% carl
\rhl{B}
\refJ Biermann,  Otto;
Zur n\"aherungsweisen Quadratur und Cubatur;
Monatsh.\ f\"ur Math.\ Phys.; XIV; 1903; 226--242;
% quadrature, multivariate, trapezoidal, Simpson, least-squares

%BiersackFink1975
% larry
\rhl{B}
\refQ Biersack,  J. P., Fink, D.;
Channeling, blocking, and range measurements using thermal neutron induced
reactions;
(Atomic Colisions in Solids, Vol.\ 2), S. Datz, B. Appleton, and C. Moak
(eds.), Plenum (New York); 1975; 737--747;

%Billera1988
% larry
\rhl{B}
\refJ Billera,  L. J.;
Homology of smooth splines: Generic triangulations and a conjecture of 
Strang;
\TAMS; 310; 1988; 325--340;

%Billera1989a
\rhl{B}
\refJ Billera,  L. J.;
The algebra of continuous piecewise polynomials;
Advances of Math.; 76(2); 1989; 170--183;

%BilleraHaas1987
\rhl{B}
\refR Billera,  L. J., Haas, R.;
Homology of divergence-free splines;
Cornell; 1987;

%BilleraRose1989
% larry
\rhl{B}
\refP Billera,  L. J., Rose, L. L.;
Gr\"obner basis methods for multivariate splines;
\Oslo; 93--104;

%BilleraRose1991
\rhl{B}
\refJ Billera,  Louis J., Rose, Lauren L.;
A dimension series for multivariate splines;
Discrete \& Computational Geometry;
6;
1991;
107--128;

%BilleraRose1999a
\rhl{B}
\refR Billera,  L. J., Rose, L. L.;
Modules of piecewise polynomials and their freeness;
xxx; 1999;

%Binev1984
% author
\rhl{B}
\refP Binev,  Peter G.;
Superconvergence in the spline-interpolation;
\VarnaIV; 50--55;
% superconvergence in cardinal spline interpolation

%Binev1985
% author
\rhl{B}
\refQ Binev,  Peter G.;
Convergence and superconvergence in Hermite spline-interpolation;
(Numerical Methods and Applications'84 (Proc.\ Intern.\ Conf., Sofia, 1984)),
xxx (ed.), Publ.\ House Bulg.\ Acad.\ Sci. (Sofia); 1985; 179--184;

%Binev1985
% author
\rhl{B}
\refJ Binev,  Peter G.;
Spline interpolation of bounded functions in the class $L_p[0,1]$;
Serdica Math.\ J.; 11; 1985; 42--47;
% error bounds in terms of moduli of smoothness

%Binev1988
\rhl{B}
\refP Binev,  Peter G.;
Error estimate for box spline interpolation;
\VarnaV; 50--55;

%Binev2004
% author
\rhl{B}
\refJ Binev,  Peter G.;
$O(n)$-bound for Whitney constants;
C.R.\ Acad.\ Bulg.\ Sci.; 38; 1985; 1303--1305;
% superceded by Sendow's proof that the bound is 6

%BinevDahmenDeVore2004a
% author
\rhl{BDD}
\refJ Binev, Peter, Dahmen, Wolfgang, DeVore, Ronald;
Adaptive finite element methods with convergence rates;
\NM; 97; 2004; 219--268;

%BinevDahmenDeVorePetrushev2002a
% author
\rhl{BDDP}
\refJ Binev, Peter, Dahmen, Wolfgang, DeVore, Ronald, Petrushev, Pencho;
Approximation classes for adaptive methods;
Serdica Math.\ J.; 28; 2002; 391--416;

%BinevDeVore2004a
% author
\rhl{BDDP}
\refJ Binev, Peter,  DeVore, Ronald;
Fast computation in adaptive tree approximation;
\NM; 97; 2004; 193--217;

%BinevIvanov1985
% author
\rhl{BI}
\refJ Binev, P. G., Ivanov, K. G.;
On a representation of mixed finite differences;
Serdica Math.\ J.; 11; 1985; 259--268;

%BinevJetter1991a
% sherm
\rhl{B}
\refP Binev,  Peter G., Jetter, K.;
Euler splines from 3-directional box splines;
\VarnaVI; 1--8;

%BinevJetter1992a
% sherm carlrefs
\rhl{B}
\refJ Binev,  P. G., Jetter, K.;
Cardinal interpolation with shifted 3-directional box splines;
\PRSEA; 122A; 1992; 205--220;

%BinevJetter1992b
% sherm
\rhl{B}
\refP Binev,  P. G., Jetter, K.;
Estimating the condition number for multivariate interpolation problems;
\Nmatnion; 39--50;

%Bing1964
% peter
\rhl{B}
\refQ Bing,  R. H.;
Some aspects of the topology of 3-manifolds related to the Poincar\'e 
conjecture; 
(Lectures on ``Modern Mathematics'', v.~2), xxx (ed.),  Wiley (NY); 1964; 93--128;

%BiniGemignani1992
% sherm, update vol and page
\rhl{B}
\refJ Bini,  D., Gemignani, Luca;
On the complexity of polynomial zeros;
\SJC; 21(4); 1992; 781--799;

%Birkhoff1967
% larry carl
\rhl{B}
\refJ Birkhoff,  G.;
Local spline approximation by moments;
\JMM;  16; 1967;  987--990;

%Birkhoff1969
\rhl{B}
\refP Birkhoff,  G.;
Piecewise bicubic interpolation and approximation in polygons;
\MadisonII; 185--221;

%Birkhoff1971a
% carl
\rhl{B}
\refJ Birkhoff,  G.;
Tricubic polynomial interpolation;
\PNAS; 68; 1971; 1162--1164;

%Birkhoff1971b
% carl
\rhl{B}
\refQ Birkhoff,  G.;
The role of algebra in computing;
(Computers in Algebra and Number Theory), G. Birkhoff and Marshall Hall
(eds.), SIAM-AMS Proc.\ vol.\ IV, SIAM (Philadelphia); 1971; 1--48;

%Birkhoff1972
% carl
\rhl{B}
\refQ Birkhoff,  G.;
Piecewise analytic interpolation and approximation in triangulated domains;
(Mathematical Foundations of the Finite Element Method with Applications to 
Partial Differential Equations), A. K. Aziz (ed.), 
Academic Press (New York); 1972; 363--385;

%Birkhoff1979
% carl
\rhl{B}
\refQ Birkhoff,  G.;
The algebra of multivariate interpolation;
(Constructive approaches to mathematical models), C. V. Coffman and G. J.
Fix (eds.), Academic Press (New York); 1979; 345--363;

%BirkhoffBoor1964
% carl
\rhl{B}
\refJ Birkhoff,  G., Boor, C. de;
Error bounds for spline interpolation;
\JMM;  13; 1964;  827--835;

%BirkhoffBoor1965
% carl
\rhl{B}
\refP Birkhoff,  G., Boor, C. R. de;
Piecewise polynomial interpolation and approximation;
\Generalmotors; 164--190;

%BirkhoffBoorSwartzWendroff1966
% carl
\rhl{B}
\refJ Birkhoff,  G., Boor, C. de, Swartz, B., Wendroff, B.;
Rayleigh-Ritz approximation by piecewise cubic polynomials;
\SJNA; 3; 1966; 188--203;

%BirkhoffBurchardThomas1965
\rhl{B}
\refR Birkhoff,  G., Burchard, H., Thomas, D.;
Non-linear interpolation by splines, pseudo splines and elastica;
General Motors Res.\ Publ.\ 468; 1965;

%BirkhoffD2006
% carlrefs 03apr06
\rhl{}
\refJ Birkhoff, David George;
General mean value and remainder theorems with applications to mechanical
   differentiation and quadrature;
\TAMS; 7; 1906; 107--136;
% the start of many things, including `Birkhoff interpolation'

%BirkhoffGD2006
% carl
\rhl{B}
\refJ Birkhoff, G. D.;
General mean value and remainder theorems with applications to mechanical
   differentiation and quadrature;
\TAMS; 7; 1906; 107--136;
% Birkhoff interpolation invented here

%BirkhoffGarabedian1960
% larry
\rhl{B}
\refJ Birkhoff,  G., Garabedian, H.;
Smooth surface interpolation;
J. Math.\ Phys.; 39; 1960; 258--268;

%BirkhoffGordon1968
% sonya
\rhl{B}
\refJ Birkhoff,  G., Gordon, W. J.;
The draftsman's and related equations;
\JAT; 1; 1968; 199--208;

%BirkhoffMansfield1974
\rhl{B}
\refJ Birkhoff,  G., Mansfield, L.;
Compatible triangular finite elements;
\JMAA; 47; 1974; 531--553;

%BirkhoffPriver1967a
% larry
\rhl{B}
\refJ Birkhoff,  G., Priver, A. S.;
Hermite interpolation errors for derivatives;
\JMP;  46; 1967; 440--447;

%BirkhoffPriver1967b
\rhl{B}
\refJ Birkhoff,  G., Priver, A. S.;
Optimal smoothing of Gaussian periodic data;
\IUMJ; 21; 1967;  103--113;

%BirkhoffSchultzVarga1968a
% carl
\rhl{B}
\refJ Birkhoff, G., Schultz, M. H., Varga, R. S.;
Piecewise Hermite interpolation in one and
 two variables with applications to partial differential equations;
\NM; 11; 1968; 232--256;

%BirmanSolomiak1966
% larry
\rhl{B}
\refJ Birman,  M. S., Solomiak, M. E.;
Approximation of the functions of the classes $W^\alpha_p$ by piecewise
polynomial functions;
Soviet Math.\ Dokl; 7; 1966; 1573--1577;

%BirmanSolomiak1967a
% 5dec96
\rhl{B}
\refJ Birman,  M. S., Solomiak, M. E.;
Functions of class $W^\alpha_p$ (Russian);
\MS; 73; 1967; 331--355;

%BirmanSolomiak1967b
% 5dec96
\rhl{B}
\refJ Birman,  M. S., Solomiak, M. E.;
Piecewise polynomial approximations of the classes $W^\alpha_p$;
\MUSSRS; 2; 1967; 295--317;

%BisterPrautzsch1997
% larry 10sep99
\rhl{BP}
\refP Bister, D., Prautzsch, H.;
A new approach to Tchebycheffian B-splines;
\ChamonixIIIa; 35--41;

%BixlerJPWatsonLTSanfordJP1988
% author 03dec99
\rhl{B}
\refJ Bixler, J. P., Watson, L. T., Sanford, J. P.;
Spline based recognition
   of straight lines and curves in engineering line drawings;
Image Vision Comput.; 6; 1988; 262--269;

%BjorckPereyra1970
% author
\rhl{B}
\refJ Bj{\"o}rck, {\AA}., Pereyra, V.;
Solution of Vandermonde systems of equations;
\MC; 24; 1970; 893--904;

%Bjork1967
% .
\rhl{B}
\refJ Bj\"ork, A.;
Solving linear least-squares problems by Gram-Schmidt orthogonalization;
BIT; 7; 1967; 1--21;

%BjornerLasVergnasSturmfelsWhiteZiegler1993
% carl 20apr00
\rhl{}
\refB Bj\"orner, Anders, Las Vergnas, Michel, Sturmfels, Bernd, White, Neil,
Ziegler, G\"unter M.;
Oriented Matroids. Encyclopedia of Mathematics, Vol.~46;
Cambridge University Press (Cambridge); 1993;
% zonotopes, box splines

%Blaga1978
\rhl{B}
\refJ Blaga,  P.;
Asupra functiilor spline Hermite de douz variabilie;
Studia Univ.\ Babes-Bolyai Ser.\ Math.; 23; 1978; 30--36;

%BlagaComan1979
\rhl{B}
\refJ Blaga,  P., Coman, G.;
On some bivariate spline operators;
Anal.\ Numer.\ Th.\ Approx.; 8; 1979; 143--153;

%BlagaComan1981
\rhl{B}
\refJ Blaga,  P., Coman, G.;
Multivariate interpolation formulas of Birkhoff type;
Studia Univ.\ Babes-Bolyai, Ser.\ Math.; XX;  1981; 14--22;

%Blake1989
% larry
\rhl{B}
\refR Blake,  J.;
Fl\"achenapproximation durch nicht-uniforme B-Splines;
Diplomarbeit, Ludwig Maximilian Univ., Munich; 1989;

%BlancSchlick1995
%  carl
\rhl{}
\refQ Blanc, Carole, Schlick, Christophe;
X-splines: a spline model designed for the end-user;
(Proc.\ 22nd annual conf. SIGGRAPH), xxx (eds.), ACM Press (New York); 1995;
377--386;

%Blaschke1915a
\rhl{B}
\refJ Blaschke,  W.;
Kreis und Kugel (Antrittsrede);
Jahresbericht DMV;  24; 1915; 195--207;

%BlatovStrygin1997
% carl 22may98
\rhl{B}
\refB Blatov, I. A., Strygin, V. V.;
Elements of spline theory and finite elements for problems with boundary
   layers (Russian);
Voronezh State University (Russia); 1997;

%Blatt1992
% carl
\rhl{B}
\refJ Blatt,  H. P.;
On the distribution of simple zeros of polynomials;
\JAT; 69; 1992; 250--268;

%BlattNurnbergerSommer1981
\rhl{B}
\refR Blatt,  H. P., N\"urnberger, G., Sommer, M.;
A chain of pointwise Lipschitz continuous selections for metric projection;
xx; 1981;

%BlattNurnbergerSommer1981b
% sherm
\rhl{B}
\refJ Blatt,  H. P., N\"urnberger, G., Sommer, M.;
A characterization of pointwise Lipschitz-continuous selections for metric
projection;
\NFAO; 4; 1981; 101--121;

%Blatter1998
% . 16aug02
\rhl{}
\refB Blatter, C.;
Wavelets -- a primer;
Friedr.
Vieweg \& Sohn (Braunschweig); 1998;

%BlatterFischer1990
% sonya
\rhl{B}
\refJ Blatter,  J., Fischer, T.;
Unique continuous selections for metric projections of $C(X)$ onto 
finite-dimensional vector subspaces II;
\JAT; 66; 1991; 229--265;

%BlatterSchumaker1982
% larry
\rhl{B}
\refJ Blatter,  J., Schumaker, L. L.;
The set of continuous selections of a metric projection in $C(X)$;
\JAT; 36; 1982; 141--155;

%BlatterSchumaker1983
% larry
\rhl{B}
\refJ Blatter,  J., Schumaker, L. L.;
Continuous selections and maximal alternators for spline approximation;
\JAT; 38; 1983; 71--80;

%BleyerSallam1978
\rhl{B}
\refJ Bleyer,  A., Sallam, S. M.;
Interpolation by cubic splines;
 Periol.\  Polytechn.\  Elect.\ Eng.;  22; 1978;  91--103;

%Bloom1979a
% shayne 6aug96
\rhl{B}
\refJ Bloom, T.;
Polynomial interpolation;
Bol.\ de Soc.\ Bras.\ de Mat.; 10(2); 1979; 75--86;
% related to Kergin interpolation
% [19] 82h:41001 (Reviewer: C. A. Micchelli) 41A05

%Bloom1981a
% shayne
\rhl{B}
\refJ Bloom, T.;
Kergin interpolation of entire functions on $\CC^n$;
\DMJ; 48(1); 1981; 69--83;
% local uniform convergence of Kergin interpolants to entire functions as the
% number of interpolation points increases

%Bloom1984a
% shayne
\rhl{B}
\refQ Bloom, T.;
On the convergence of interpolating polynomials for entire functions;
(Analyse Complexe), xxx (ed.), Lecture Notes in Math., Vol.\ 1094,
Springer-Verlag (Berlin); 1984; 15--19;
% local uniform convergence of Kergin interpolants to entire functions as the
% number of interpolation points increases

%Bloom1987a
\rhl{B}
\refJ Bloom, Thomas;
The Lebesgue constant for Lagrange interpolation in the simplex;
\JAT; 54(3); 1987; 338--353;

%Bloom1990a
% shayne 6aug96
\rhl{B}
\refJ Bloom, T.;
A multivariable version of the Muntz-Szasz theorem;
Contemporary Math; 137; 1992; 85--92;
% related to Kergin interpolation

%Bloom1990b
% shayne 6aug96
\rhl{B}
\refJ Bloom, T.;
Interpolation at discrete subsets of $\CC^n$;
\IUMJ; 39(4); 1990; 1223--1243;
% related to Kergin interpolation

%Bloom1990c
% shayne 6aug96
\rhl{B}
\refJ Bloom, T.;
A spanning set for ${\cal C}(I^n)$;
\TAMS; 34(2); 1990; 740--759;
% related to Kergin interpolation

%BloomBos1983
% . 6aug96
\rhl{B}
\refP Bloom, T., Bos, L.;
On the convergence of Kergin interpolant of analytic functions;
\TexasIV; 369--374; 

%BloomBosChristensenLevenberg1992
% carlrefs
\rhl{B}
\refJ Bloom, T., Bos, L., Christensen, C., Levenberg, N.;
Polynomial interpolation of holomorphic functions in $\CC$ and $\CC^n$;
\RMJM; 22(2); 1992; 441--470;
% multivariate

%BloomCalvi1994a
% shayne
\rhl{B}
\refR Bloom, T., Calvi, J. P.;
Kergin interpolants of holomorphic functions;
preprint; 1994;

%BloomCalvi1995
% shayne 6aug96
\rhl{B}
\refP Bloom, T., Calvi, J. P.;
A convergence problem for Kergin interpolation II;
\TexasVIIIa; 79--86;

%BloomLubinskyStahl1992
\rhl{B}
\refJ Bloom,  T., Lubinsky, D. S., Stahl, H.;
Interpolatory integration rules and orthogonal polynomials with varying
weights;
\NA; 3; 1992; 55--65;

%BloomLubinskyStahl1993a
\rhl{B}
\refJ Bloom, T., Lubinsky, D. S., Stahl, H.;
Interpolatory integration rules and orthogonal polynomials with varying weights;
Numerical Algorithms; 3; 1993; xxx--xxx;

%BlumH1973
% larry
\rhl{B}
\refJ Blum,  H.;
Biological shape and visual science (Part I);
J. theor.\ Biol.; 38; 1973; 205--287;

%BlumM1972
\rhl{B}
\refJ Blum,  M.;
Optimal smoothing of piecewise continuous functions;
IEEE Trans.\  Inf.\  Th.\ IT;  18; 1972;	298--300;

%Boche2001
% carl 21jan02
\rhl{}
\refJ Boche, H.;
Konvergente Lagrange-Interpolationspolynome f\"ur die Disk-Algebra;
\NM; 88(1); 2001; 1--8;

%BochnakSiciak1971a
% shayne 14sep95
\rhl{B}
\refJ Bochnak, J., Siciak, J.;
Polynomials and multilinear mappings in topological vector spaces;
\SM; 39; 1971; 59--76;
% contains a simple proof the generalisation of the result of %Kellogg28 that
% the norm of a symmetric multilinear functional on a Hilbert space is taken on
% when all its arguments are equal

%Boehm1976
\rhl{B}
\refJ Boehm,  W.;
Parameterdarstellung kubischer und bikubischer Splines;
\C; 17; 1976; 87--92;

%Boehm1977a
\rhl{B}
\refJ Boehm,  W.;
Cubic B-spline curves and surfaces in computer aided geometric design;
\C; 19; 1977;  29--34;

%Boehm1977b
% larry
\rhl{B}
\refJ Boehm,  W.;
\"Uber die Konstruktion von B-Spline-Kurven;
\C; 18; 1977; 161--166;

%Boehm1980
% larry, carl
\rhl{B}
\refJ Boehm, Wolfgang;
Inserting new knots into B-spline curves;
\CAD; 12(4); 1980; 199--201;
% Inserting new knots into a B-spline curve, 50-62

%Boehm1981
% larry, carl
\rhl{B}
\refJ Boehm, Wolfgang;
Generating the B\'ezier points of B-spline curves and surfaces;
\CAD; 13(6); 1981; 365--366;

%Boehm1982
% larry
\rhl{B}
\refJ Boehm,  W.;
On cubics: A survey;
Comp.\ Graphics and Image Proc.; 19; 1982; 201--226;

%Boehm1983a
% larry
\rhl{B}
\refP Boehm,  W.;
The de Boor algorithm for triangular splines;
\CagdI; 109--120;

%Boehm1983b
% larry
\rhl{B}
\refP Boehm,  W.;
Generating the B\'ezier points of triangular splines;
\CagdI;
77--91;

%Boehm1983c
\rhl{B}
\refR Boehm,  W.;
Three applications of the algorithm of de Boor;
Braunschweig; 1983;

%Boehm1983d
% larry, carl
\rhl{B}
\refJ Boehm, Wolfgang;
Subdividing multivariate splines;
\CAD; 15(6); 1983; 345--352;
% sculptured surfaces, algorithms.

%Boehm1984
% greg
\rhl{B}
\refJ Boehm,  W.;
Calculating with box splines;
\CAGD; 1; 1984; 149--162;

%Boehm1985a
% greg
\rhl{B}
\refJ Boehm,  W.;
Triangular spline algorithms;
\CAGD; 2; 1985; 61--67;

%Boehm1985b
% greg
\rhl{B}
\refJ Boehm,  W.;
Curvature continuous curves and surfaces;
\CAGD; 2; 1985; 313--323;

%Boehm1985c
\rhl{B}
\refJ Boehm,  W.;
Multivariate spline algorithms;
\CAD; 17; 1985; 103--105;
% ref in CAGD 2, 67,
% ref also in \SurfacesI
% does it actually exist??

%Boehm1985d
% greg
\rhl{B}
\refJ Boehm,  W.;
On the efficiency of knot insertion algorithms;
\CAGD; 2(1-3); 1985; 141--143;

%Boehm1986a
% carl
\rhl{B}
\refP Boehm,  W.;
Multivariate spline algorithms;
\SurfacesI; 197--215;

%Boehm1986b
% carl
\rhl{B}
\refJ Boehm, Wolfgang;
Multivariate spline methods in CAGD;
\CAD; 18(2); 1986; 102--104;
% geometry, algorithms.

%Boehm1986c
% carl
\rhl{B}
\refJ Boehm, Wolfgang;
Curvature continuous curves and surfaces;
\CAD; 18(2); 1986; 105--106;
% geometry, B\'ezier points, splines.

%Boehm1987
\rhl{B}
\refP Boehm,  W.;
Smooth curves and surfaces;
\Troy; 175--184;

%Boehm1987b
% greg
\rhl{B}
\refJ Boehm,  W.;
Rational geometric splines;
\CAGD; 4(1-2); 1987; 67--77;

%Boehm1988
% larry, carl
\rhl{B}
\refJ Boehm, Wolfgang;
On the definition of geometric continuity;
\CAD; 20(7); 1988; 370--372;
% letter to the editor.

%Boehm1990
% carl
\rhl{B}
\refP Boehm,  W.;
Algebraic and differential geometric methods in C.A.G.D.;
\Teneriffe; 425--455;

%Boehm1990a
% greg
\rhl{B}
\refJ Boehm,  W.;
On cyclides in geometric modeling;
\CAGD; 7; 1990; 243--255;

%Boehm1999
\rhl{B}
\refR Boehm,  W.;
Efficient evaluation of splines;
Braunschweig; 19xx;

%BoehmFarinKahmann1984
% greg
\rhl{B}
\refJ Boehm,  W., Farin, G., Kahmann, J.;
A survey of curve and surface methods in CAGD;
\CAGD; 1; 1984; 1--60;

%BoehmHansford1991a
\rhl{B}
\refP Boehm,  W., Hansford, D.;
B\'ezier patches on quadrics;
\Farinnion; 1--14;

%BoehmHansford1999b
\rhl{B}
\refR Boehm,  W., Hansford, D.;
Parametric representation of quadric
surfaces;
Math.\ Meth.\ and Num.\ Anal; to appear;

%BoehmK1910a
\rhl{B}
\refB Boehm,  K.;
Elliptische Funktionen, Teil 2; 
Verlagshandlung Goeschen (Leipzig); 1910;

%BoehmMueller1999
% larry Lai-Schumaker book
\rhl{BoeM99}
\refJ Boehm, W., M\"uller, A.;
On de Casteljau's algorithm;
\CAGD; 16; 1999; 587--605;

%BoehmPrautzsch1985
% carl
\rhl{B}
\refJ Boehm, Wolfgang, Prautzsch, Hartmut;
The insertion algorithm;
\CAD; 17(2); 1985; 58--59;
% B-spline curves, computational geometry, computer-aided designs. 

%BoehmPrautzschArner1987
% greg
\rhl{B}
\refJ Boehm,  W., Prautzsch, H., Arner, P.;
On triangular splines;
\CA; 3; 1987; 157--167;

%Boehmer1971
\rhl{B}
\refR B\"ohmer,  K.;
\"Uber Ausgleichs-Splines;
xx; 1971;

%Boehmer1974a
\rhl{B}
\refB B\"ohmer,  K.;
Spline-Funktionen;
Teubner (Stuttgart); 1974;

%Boehmer1974b
\rhl{B}
\refJ B\"ohmer,  K.;
\"Uber die stetige Abh\"angigkeit von Interpolations-- und
Ausgleichssplines;
\ZAMM; 54; 1974; 211--212;

%Boehmer1974c
\rhl{B}
\refP B\"ohmer,  K.;
\"Uber die Existenz, Eindeutigkeit und Berechnung von Spline-Funktionen;
\BoehmerI; 11--46;

%BoehmerComan1976
\rhl{B}
\refJ B\"ohmer,  K., Coman, Gh.;
Smooth interpolation schemes on triangles with error bounds;
Mathematica Cluj;  18; 1976; 15--27;

%BoehmerComan1977
\rhl{B}
\refP B\"ohmer,  K., Coman, Gh.;
Blending interpolation schemes on triangles with error bounds;
\BoehmerII; 14--37;

%BoehmerComan1980
\rhl{B}
\refJ B\"ohmer,  K., Coman, Gh.;
On some approximation schemes on triangles;
Mathematica Cluj;  22; 1980; 231--235;

%BoehmerMeinardusSchempp1974a
% carl 22may98
\rhl{B}
\refB B\"ohmer,  K., Meinardus, G., Schempp, W.;
Tagung \"uber Spline-Funktionen;
Bibliographisches Institut (Mannheim); 1974;

%BoehmerMeinardusSchempp1976
\rhl{B}
\refB B\"ohmer,  K., Meinardus, G., (eds.), W. Schempp;
Spline Functions;
Lect.\ Notes 501, Springer Verlag (New York); 1976;

%BogackiShampine1990a
\rhl{B}
\refR Bogacki,  P., Shampine, L. F.;
An efficent Runge--Kutta 4-5) pair;
Math.\ Department Southern Methodist University; 1990;

%Boissonnat1985
\rhl{B}
\refQ Boissonnat,  J.-D.;
Surface reconstruction from planar cross-sections;
(Proc.\ IEEE Conf.\ on Computer Vision and Pattern Recognition), xxx (ed.), 
CH2145 IEEE (xxx); 1985; 393--397;

%Bojanic1959
% shayne 26aug98
\rhl{B}
\refJ Bojanic, R.;
On the approximation of continuous functions by Bernstein polynomials
   (Serbian);
Acad.\ Serbe Sci.\ Arts Glas; 232; 1959; 59--65;

%BojanicCheng1989
% shayne 26aug98
\rhl{B}
\refJ Bojanic, R., Cheng, F.;
Rate of convergence of Bernstein polynomials for functions with derivatives
   of bounded variation;
\JMAA; 141; 1989; 136--151;

%BojanicDeVore1966
% larry
\rhl{B}
\refJ Bojanic,  R., DeVore, R.;
On polynomials of best one-sided approximation;
L'Enseignement Math.; 12; 1966; 139--164;

%BojanicRoulier1974
\rhl{B}
\refJ Bojanic,  R., Roulier, J.;
Approximation of convex functions by convex splines and convexity
preserving continuous linear operators;
Rev.\ Anal.\ Numer.\ Th.\ Approx.; 3; 1974; 143--150;

%Bojanov1974a
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Best quadrature formula for a certain class of analytic functions;
\ZMAM;	14; 1974; 441--447;

%Bojanov1974b
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Optimal methods of interpolation in  $W^{(r)}L_q(M;a,b)$;
C. R. Acad.\ Bulgar.\ Sci.; 27; 1974; 885--888;

%Bojanov1975a
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Best methods of interpolation for some classes of differentiable functions;
\MaZ;  17; 1975; 511--524;

%Bojanov1975b
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
New best quadrature formulae;
Serdica; 1; 1975; 110--120;

%Bojanov1976a
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Optimal methods of integration in the class of differentiable functions;
\ZMAM; 15; 1976; 105--115;

%Bojanov1976b
\rhl{B}
\refR Bojanov,  B. D.;
Favard's interpolation problem for periodic functions;
Colloquium on Fourier Analysis and Approximation Theory,
 Budapest; 1976;

%Bojanov1977a
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
A note on the optimal approximation of smooth periodic functions;
C. R. Acad.\ Bulgare Sci.; 30; 1977; 809--812;

%Bojanov1977b
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Existence of extended monosplines of least deviations;
C. R. Acad.\ Bulgare Sci.; 30; 1977; 985--988;

%Bojanov1977c
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Existence of extended monosplines of least deviations;
Serdica; 3; 1977; 261--272;

%Bojanov1979a
% larry
\rhl{B}
\refP Bojanov,  B. D.;
Uniqueness of the monosplines of least deviation;
\HammerlinI; 67--97;

%Bojanov1979b
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
On the existence of optimal quadrature formulae for smooth functions;
Calcolo; 16; 1979; 61--70;

%Bojanov1979c
% sonya
\rhl{B}
\refJ Bojanov,  B. D.;
A generalization of Chebyshev polynomials;
\JAT; 26; 1979; 293--300;

%Bojanov1980a
% .
\rhl{B}
\refD Bojanov,  B.;
Optimal recovery of functions and functionals;
DSc Thesis, Sofia (Bulgaria); 1980;

%Bojanov1980b
% larry
\rhl{B}
\refJ Bojanov,  B. D.;
Perfect splines of least uniform deviations;
Analysis Mathematica;  6; 1980; 185--197;

%Bojanov1980c
\rhl{B}
\refQ Bojanov, B. D.;
Existence and characterization of monosplines of least $L_p$ deviation;
(Constructive Function Theory '77), xxx (eds.),
Bulgarian Academy of Science (Sofia); 1980; 249--268;

%Bojanov1981
% larry, carl
\rhl{B}
\refJ Bojanov, Borislav D.;
Uniqueness of the optimal nodes of quadrature formulae;
\MC; 36(154); 1981; 525--546;

%Bojanov1982a
% larry 20feb96
\rhl{B}
\refJ Bojanov,  B. D.;
$L_1$ approximation by Hermite interpolating polynomials with free nodes;
C. R. Acad.\ Bulgare Sci.; 35; 1982; 1049--1051;

%Bojanov1982b
% sonya
\rhl{B}
\refJ Bojanov,  B. D.;
An extension of the Markov inequality;
\JAT; 35; 1982; 181--190;

%Bojanov1988
% author 23jun03
\rhl{}
\refJ Bojanov, B. D.;
B-splines with Birkhoff knots;
\CA; 4; 1988; 147--156;

%Bojanov1990
% author 23jun03
\rhl{}
\refJ Bojanov, B. D.;
Optimal recovery of differentiable functions;
Mat.~Sbornik; 181(3); (1990); 334--353;
% English translation in Math.~USSR Sbornik: 69: 1991: 357--377:

%Bojanov1994
% carl
\rhl{B}
\refJ Bojanov, Borislav; 
Characterization of the smoothest interpolant;
\SJNA; 25(6); 1994; 1642--1655;
% characterizes the smoothest function $f$ from $W_p^r[a..b]$ that satisfies
% $f(t) = g(t)$, $D^jf(t) = 0$, $j=1,\ldots,\nu_t$, for $t\in T$, $T$ given,
% finite, $g$ given. See Pinkus88a.

%Bojanov1994b
% shayne 21feb96
\rhl{B}
\refQ Bojanov, B.;
Optimal recovery of functions and integrals;
(First European congress of mathematics, Vol.\ I), xxx (ed.),
Birkh\"auser (Basel); 1994; 371--390;

%Bojanov1996
% . 20nov03
\rhl{}
\refP Bojanov, B.;
Total positivity of the spline kernel and its applications;
\Zaragoza; 3--34;

%Bojanov1999a
% carl 03dec99
\rhl{B}
\refJ Bojanov, Borislav;
Markov interlacing property for perfect splines;
\JAT; 100(1); 1999; 183--201;
% extension to perfect splines with maximal numbers of zeros of Markov's 
% theorem that any zero of the derivative of $\prod(\cdot-t_j)$ is a 
% strictly monotone function of each $t_j$

%Bojanov2002
% . 03apr06
\rhl{B}
\refP Bojanov, Borislav;
Markov-type inequalities for polynomials and splines;
\TexasXa; 31--90;
% survey

%BojanovChernogorov1977
% sonya
\rhl{B}
\refJ Bojanov,  B. D., Chernogorov, V. G.;
An optimal interpolation formula;
\JAT; 20; 1977; 264--274;

%BojanovHakopian1990
% author
\rhl{B}
\refB Bojanov,  B. D., Hakopian, H. A.;
Spline Function Theory (in Bulgarian);
Science and Art Publ. (Sofia, Bulgaria); 1990;

%BojanovHakopianSahakian1993
% shayne 23may95
\rhl{B}
\refB Bojanov, B. D., Hakopian, H. A., Sahakian, A. A.;
Spline Functions and Multivariate Interpolations;
Kluwer Academic Publishers (Dordrecht, The Netherlands); 1993;
% ISBN 0-7923-2229-0
% 14 Chapters
% Lagrange, Hermite, Birkhoff interpolation. Budan-Fourier theorem
% splines with multiple knots
% B-splines, Peano's kernel theorem, Tschakaloff's formula
% Hermite, Birkhoff interpolation by splines, Total positivity
% interpolation by natural splines, Holladay's theorem
% (oscillating) perfect splines, Favard's interpolation problem
% monosplines and quadrature formulae
% periodic splines
% multivariate B-splines and truncated powers
% multivariate divided differences
% box splines
% scale of mean value interpolations, Kergin and Hakopian interpolation
% multivariate polynomial interpolation by traces on manifolds
% multivariate Birkhoff interpolation from a space spanned by monomials

%BojanovNaidenov2002
% . 03apr06
\rhl{}
\refJ Bojanov, B., Naidenov, N.;
Exact Markov-type inequalities for oscillating perfect splines;
\CA; 18; 2002; 37--59;

%BolandiRoccaZanoletti1976
\rhl{B}
\refJ Bolandi,  G., Rocca, F., Zanoletti, S.;
Automatic contouring of faulted subsurfaces;
Geophysics; 41; 1976; 1377--1393;

%BolcskeiEldar2003
% shayne 20nov03
\rhl{}
\refJ B\"olcskei, H., Eldar, Y. C.;
Geometrically uniform frames;
IEEE Trans.\ Inform.\ Theory;  49 (4); 2003; 993--1006;

%BollingerDuffie1979a
\rhl{B}
\refJ Bollinger,  J., Duffie, N.;
Computer algorithms for high speed
continuous path robot manipulator;
 Ann.\ CIRP;  28; 1979; 391--395;

%BoltjanskiiRyshkovShashkin1960
% . CohenFRHandel78 06jun04
\rhl{}
\refJ Boltjanskii, V. G., Ryshkov, S. S., Shashkin, Ju.{} A.;
On $k$-regular imbeddings and their application to the theory of
   approximation of functions;
Uspekhi Mat.{} Nauk; 15(6); 1960; 125--132;
% AMS Transl.{} (2): 28: 1963: 211--219:

%Bolton1975
% carlrefs 20nov03
\rhl{}
\refJ Bolton, K. M.;
Biarc curves;
\CAD; 7(2); 1975; 89--92;
% early reference on `biarc curves', but see Sandel37

%Boltyanskii1964a
\rhl{B}
\refB Boltyanskii,  V. G.;
Envelopes;
MacMillan (New York); 1964;

%Bolza1949a
\rhl{B}
\refB Bolza,  O.;
Vorlesungen \"uber Variationsrechnung;
Koehler und Amelang (Leipzig); 1949;

%BonevaKendallStefanov1971
% larry
\rhl{B}
\refJ Boneva,  L., Kendall, D., Stefanov, I.;
Spline transformations: Three new diagnostic aids for the statistical
data-analyst;
J.\ Roy.\ Statist.\ Soc.; 33; 197l; 1--70;

%Bonitz1982
% larry
\rhl{B}
\refJ Bonitz,  P.;
Computer-aided design of double-bent
	 surfaces under differential geometry aspects;
Computers in Industry; 3; 1982; 75--82;

%BonneauHagen1994
% larry
\rhl{B}
\refP Bonneau, G. P., Hagen, H.;
Variational design of rational B\'ezier curves and surfaces;
\ChamonixIIa; 51--58;

%Boor1962
% carl
\rhl{B}
\refJ Boor,  C. de;
Bicubic spline interpolation;
J. Math.\ Phys.;  41; 1962; 212--218;

%Boor1963
% carl
\rhl{B}
\refJ Boor,  C. de;
Best approximation properties of spline functions of odd degree;
\JMM; 12; 1963; 747--750;

%Boor1966
% carl
\rhl{B}
\refD Boor,  C. de;
The method of projections as applied to the numerical solution of two point
boundary value problems using cubic splines;
Univ.\ Michigan (Ann Arbor MI); 1966;

%Boor1968a
% carl
\rhl{B}
\refJ Boor,  C. de;
On local spline approximation by moments;
\JMM; 17; 1968; 729--735;

%Boor1968b
% carl
\rhl{B}
\refJ Boor,  C. de;
On uniform approximation by splines;
\JAT; 1; 1968; 219--235;

%Boor1968c
% carl
\rhl{B}
\refJ Boor,  C. de;
On the convergence of odd-degree spline interpolation;
\JAT; 1(4); 1968; 452--463;

%Boor1969
% carl
\rhl{B}
\refP Boor,  C. de;
On the approximation by $\gamma$-polynomials;
\MadisonII; 157--183;

%Boor1971
% carl
\rhl{B}
\refR Boor,  C. de;
Subroutine package for calculating with B-splines;
Techn.Rep.\ LA-4728-MS, Los Alamos Sci.Lab, Los Alamos NM; 1971;

%Boor1972
% carl
\rhl{B}
\refJ Boor,  C. de;
On calculating with $B$-splines;
\JAT; 6; 1972; 50--62;

%Boor1973a
% carl
\rhl{B}
\refP Boor,  C. de;
Good approximation by splines with variable knots;
\EdmontonI; 57--72;

%Boor1973b
% carl
\rhl{B}
\refP Boor,  C. de;
Appendix to `Splines and histograms' by I. J. Schoenberg;
\EdmontonI; 329--358;

%Boor1973c
% carl
\rhl{B}
\refP Boor,  C. de;
The quasi-interpolant as a tool in elementary polynomial spline theory;
\TexasI; 269--276;

%Boor1974a
% carl
\rhl{B}
\refJ Boor,  C. de;
Bounding the error in spline interpolation;
SIAM Rev.; 16; 1974; 531--544;

%Boor1974b
% carl
\rhl{B}
\refP Boor,  C. de;
Good approximation by splines with variable knots.\ II;
\DundeeI; 12--20;

%Boor1974c
% carl
\rhl{B}
\refJ Boor,  C. de;
A remark concerning perfect splines;
\BAMS;	 80; 1974; 724--727;

%Boor1974d
% carl
\rhl{B}
\refP Boor,  C. de;
A smooth and local interpolant with `small' $k$-th derivative;
\Aziz; 177--197;

%Boor1975a
% carl
\rhl{B}
\refJ Boor,  C. de;
On bounding spline interpolation;
\JAT; 14(3); 1975; 191--203;

%Boor1975b
% carl
\rhl{B}
\refJ Boor,  C. de;
How small can one make the derivatives of an interpolating function?;
\JAT; 13; 1975; 105--116;

%Boor1976a
% carl
\rhl{B}
\refJ Boor,  C. de;
Total positivity of the spline collocation matrix;
\IUMJ;  25; 1976; 541--551;

%Boor1976b
% carl
\rhl{B}
\refJ Boor,  C. de;
On cubic spline functions that vanish at all knots;
Advances in Math.;   20; 1976; 1--17;

%Boor1976c
% carl
\rhl{B}
\refJ Boor,  C. de;
On `best' interpolation;
\JAT; 16; 1976; 28--42;

%Boor1976d
% carl
\rhl{B}
\refJ Boor,  C. de;
Quadratic spline interpolation and the sharpness of Lebesgue's inequality;
\JAT; 17; 1976; 348--358;

%Boor1976e
% carl
\rhl{B}
\refJ Boor,  C. de;
On the cardinal spline interpolant to $e^{iut}$;
\SJMA; 7; 1976; 930--941;

%Boor1976f
% carl
\rhl{B}
\refJ Boor, C. de;
A bound on the $L_\infty$-norm of $L_2$-approximation by splines
in terms of a global mesh ratio;
\MC; 30(136); 1976; 765--771;

%Boor1976g
% carl
\rhl{B}
\refP Boor,  C. de;
On local linear functionals which vanish at all $B$-splines but one;
\Law;	120--145;

%Boor1976h
% carl
\rhl{B}
\refP Boor,  C. de;
Splines as linear combinations of $B$--splines, a survey;
\TexasII; 1--47;

%Boor1976i
% carl
\rhl{B}
\refP Boor,  C. de;
Odd-degree spline interpolation at a biinfinite knot sequence;
\BonnI; 30--53; 

%Boor1977a
% carl
\rhl{B}
\refJ Boor,  C. de;
Package for calculating with B-splines;
\SJNA;	14; 1977; 441--472;

%Boor1977b
% carl
\rhl{B}
\refP Boor,  C. de;
Computational aspects of optimal recovery;
\Micchelli; 69--91;

%Boor1978a
% carl
\rhl{B}
\refJ Boor,  C. de;
A comment on `Numerical comparisons of
    algorithms for polynomial and rational multivariate approximation';
\SJNA; 15; 1978; 1208--1211;

%Boor1978b
% carl
\rhl{B}
\refB Boor,  C. de;
A Practical Guide to Splines;
Springer Verlag (New York); 1978;

%Boor1978c
% carl
\rhl{B}
\refQ Boor,  C. de;
The approximation of functions and linear functionals:
   Best vs.\ good approximation;
(Proceedings of Symposia in Applied Mathematics \bf 22), G. H. Golub and J.
Oliger (eds.), AMS (Providence); 1978; 53--70;

%Boor1979a
% carl
\rhl{B}
\refJ Boor,  C. de;
Efficient computer manipulation of tensor products;
\ACMTMS;  5; 1979; 173--182. {\it Corrigenda:} 525;

%Boor1979b
% carl 5dec96
\rhl{B}
\refQ Boor, C. de;
How does Agee's smoothing method work?;
(Proceedings of the 1979 Army Numerical Analysis and Computers Conference),
xxx (ed.), ARO Rept.\ 79-3, Army Research Office (Triangle Park NC); 1979;
299--302;

%Boor1980a
% carl
% sherm, update editors etc
\rhl{B}
\refQ Boor,  C. de;
Polynomial interpolation;
(Proceedings International Con\-gress of Mathematicians, Helsinki 1978),
O. Lehto (ed.), Acad.\ Sci.\ Fennica (Helsinki); 1980; 917--922;

%Boor1980b
% carl
\rhl{B}
\refP Boor,  C. de;
What is the main diagonal of a biinfinite band matrix?;
\BonnII; 11--23;

%Boor1980c
% carl
\rhl{B}
\refJ Boor,  C. de;
Dichotomies for band matrices;
\SJNA; 17; 1980; 894--907;

%Boor1981a
% carl
\rhl{B}
\refJ Boor,  C. de;
Convergence of abstract splines;
\JAT; 31; 1981; 80--89;

%Boor1981b
% carl
\rhl{B}
\refP Boor,  C. de;
The numerical calculation of spline approximations on a biinfinite knot
sequence;
\Haifa; 13--22;

%Boor1981c
% carl
\rhl{B}
\refP Boor,  C. de;
On a max-norm bound for the least-squares spline approximant;
\CiesielskiII; 163--175;

%Boor1981d
% carl
\rhl{B}
\refR Boor,  C. de;
Smooth and rough interpolation;
Res.Rep.\ 81-03, Seminar f\"ur Angew.Math., ETH, Z\"urich; 1981;

%Boor1982
% carl
\rhl{B}
\refQ Boor,  C. de;
Topics in multivariate approximation theory;
(Topics in Numerical Analysis), P. Turner (ed.), Lecture Notes 965,
Springer (Berlin); 1982;  39--78;

%Boor1982a
% carl
\rhl{B}
\refJ Boor,  C. de;
The inverse of a totally positive bi-infinite band matrix;
TAMS; 274; 1982; 45--58;

%Boor1983
\rhl{B}
\refR Boor,  C. de;
Lectures on multivariate B-splines;
RPI; 1983;

%Boor1985
\rhl{B}
\refR Boor,  C. de;
Convergence of cubic spline interpolation with the not-a-knot condition;
MRC 2876; 1985;

%Boor1986a
% carl
\rhl{B}
\refP Boor, C. de;
B(asic)-spline basics;
\Siggrapheisi; 32 pages;

%Boor1986b
% carl
\rhl{B}
\refB Boor, C. de;
Approximation Theory;
AMS Proc.\ Symposia in Applied Math.\ 36, AMS (Providence, RI); 1986;

%Boor1987a
% carl
\rhl{B}
\refQ Boor,  C. de;
Multivariate approximation;
(State of the Art in Numerical Analysis), A. Iserles and M. Powell
(eds.), Institute Mathematics Applications (Essex); 1987; 87--109;

%Boor1987b
% carl
\rhl{B}
\refP Boor,  C. de;
$B$--form basics;
\Troy;	131--148;

%Boor1987c
% carl
\rhl{B}
\refJ Boor,  C. de;
The polynomials in the linear span of integer translates
	of a compactly supported function;
\CA; 3; 1987; 199--208;

%Boor1987d
% carl
\rhl{B}
\refJ Boor,  C. de;
Cutting corners always works;
\CAGD; 4; 1987; 125--131;

%Boor1988a
% carl
\rhl{B}
\refJ Boor,  C. de;
The condition of the B-spline basis for polynomials;
\SJNA; 25; 1988; 148--152;

%Boor1988b
% carl
\rhl{B}
\refQ Boor,  C. de;
What is a multivariate spline?;
(Proc.\ First Intern.\ Conf.\ Industr.\ Applied Math., Paris 1987), J.\
McKenna  and R.  Temam (eds.), SIAM (Philadelphia PA); 1988; 90--101;

%Boor1989a
% carl
\rhl{B}
\refP Boor,  C. de;
A local basis for certain smooth bivariate pp spaces;
\MvatIV; 25--30;

%Boor1990a
% carl
\rhl{B}
\refJ Boor,  C. de;
The exact condition of the B-spline basis may be hard to determine;
\JAT; 60; 1990; 344--359;

%Boor1990c
% carl
\rhl{B}
\refP Boor,  C. de;
Quasiinterpolants and approximation power of multivariate splines;
\Teneriffe; 313--345;

%Boor1990d
% carl
\rhl{B}
\refJ Boor,  C. de;
Local corner cutting and the smoothness of the limiting curve;
\CAGD; 7; 1990; 389--397;

%Boor1990e
% carl
\rhl{B}
\refB Boor,  C. de;
Splinefunktionen; Birkh\"auser (Basel); 1990;

%Boor1992
% carl
\rhl{B}
\refJ Boor,  C. de;
On the error in multivariate polynomial interpolation;
Applied Numerical Mathematics; 10(3-4); 1992; 297--305;

%Boor1992a
% larry
\rhl{B}
\refP Boor,  C. de;
Approximation order without quasi-interpolants;
\TexasVII;  1--18;

%Boor1993a
% carl
\rhl{B}
\refP Boor,  C. de;
B(asic)-spline basics;
% MRC 2952, 1986,
\Piegl; 27--49;
% expository

%Boor1993b
% carl
\rhl{B}
\refJ Boor,  C. de;
Multivariate piecewise polynomials;
\AN; \kern-.3em; 1993; 65--109;

%Boor1993c
% carl
\rhl{B}
\refJ Boor,  C. de;
On the evaluation of box splines;
\NA; 5; 1993; 5--23;

%Boor1994a
% carl
\rhl{B}
\refQ Boor, C. de;
Gauss elimination by segments and multivariate polynomial interpolation;
(Approximation and Computation: A Festschrift in Honor of Walter Gautschi),
 R. V. M. Zahar (ed.),
ISNM 119, Birkh\"auser Verlag (Basel-Boston-Berlin); 1994; 1--22;

%Boor1994b
% carl
\rhl{B}
\refQ Boor,  C. de;
Polynomial interpolation in several variables;
(Studies in Computer Science {(in Honor of Samuel D. Conte)}), R. DeMillo and
J. R. Rice (eds.), Plenum Press (New York); 1994; 87--119;

%Boor1995a
% carl 14sep95
\rhl{B}
\refP Boor, C. de;
A multivariate divided difference;
\TexasVIIIa; 87--96;

%Boor1996a
% carl 6aug96
\rhl{B}
\refJ Boor, C. de;
On the Sauer-Xu formula for the error in multivariate polynomial interpolation;
\MC; 65; 1996; 1231--1234;

%Boor1997
% carl 12mar97
\rhl{B}
\refJ Boor, C. de;
The multiplicity of a spline zero;
\AoNM; 4; 1997; 229--238;
% multiplicity defined in terms of the maximum number of (simple) zeros in
% nearby splines gives sharpest bounds in terms of sign changes in B-form
% coefficient sequence.

%Boor1997a
% . 12mar97
\rhl{B}
\refP Boor, C. de;
The error in polynomial tensor-product, and in Chung-Yao, interpolation;
\ChamonixIIIb; 35--50;

%Boor1997b
% . 26aug98
\rhl{B}
\refP Boor, C. de;
On the Meir/Sharma/Hall/Meyer analysis of the spline interpolation error;
\Powellfest; 47--58;

%Boor2000a
% . 02feb01
\refJ Boor, C. de;
Computational aspects of multivariate polynomial interpolation:
Indexing the coefficients;
\AiCM; 12; 2000; 289--301;

%Boor2001a
% carl 20apr00
\rhl{B}
\refJ Boor, C. de;
Calculation of the smoothing spline with weighted roughness measure;
Math.\ Models Methods Appl.\ Sci.; 11(1); 2001; 33--41;

%Boor2001b
% carl
\refB Boor, C. de;
A Practical Guide to Splines, Revised Edition;
xviii + 346p, Springer-Verlag (New York); 2001;

%Boor2003a
% carl 20jan03
\rhl{B}
\refJ Boor, C. de;
A divided difference expansion of a divided difference;
% ms: 2002:
\JAT; 122(1); 2003; 10--12;
% erratum \JAT: 124(1): 2003: 137:

%Boor2003b
% carl 20nov03
\rhl{}
\refJ Boor, C. de;
A Leibniz formula for multivariate divided differences;
\SJNA; 41(3); 2003; 856--868;

%Boor2004a
% carlrefs 03apr06
\rhl{B}
\refP Boor, C. de;
An efficient definition of the divided difference;
\forBojanov; 58--63;

%Boor2005a
% carl 03apr06
\rhl{}
\refJ Boor, C. de;
An asymptotic expansion for the error in a linear map that
   reproduces polynomials of a certain order;
\JAT; 134; 2005; 171--174;
 % follows up on Han03; followed up by Waldron08

%Boor2005b
% carlrefs 03apr06
\rhl{B}
\refP Boor, C. de;
Ideal interpolation;
\TexasXI; 59--91;

%Boor2005c
% carlrefs
\rhl{}
\refJ Boor, C. de;
Divided differences;
\SAT; 1; 2005; 49--63;

%Boor2006a
% author
\rhl{B}
\refP Boor, C. de;
What are the limits of Lagrange projectors?;
\VarnaVIII; 51--63;

%Boor2006b
% carl 03apr06
\rhl{}
\refJ Boor, Carl de;
On interpolation by radial polynomials;
\AiCM; 24; 2006; 143--153;
% accepted may'04

%Boor2006c
% carl
\rhl{}
\refQ Boor, C. de;
Ideal interpolation: Mourrain's condition {\it vs\/} $D$-invariance;
(Banach Center Publications Vol.~72: Approximation and Probability),
Tadeusz Figiel and Anna Kamont (eds.), IMPAN (Warszawa, Poland); 2006; 49--55;

%Boor2007a
% carl 05mar08
\rhl{B}
\refJ Boor, C. de;
Interpolation from spaces spanned by monomials;
\AiCM; 26(1-3); 2007; 63--70;

%Boor2007b
% carl 21nov08
\refJ Boor, C. de;
Multivariate polynomial interpolation: conjectures concerning GC-sets;
\NA; 45; 2007; 113--125;

%BoorDaniel1974
% carl
\rhl{B}
\refJ Boor, C. de, Daniel, J. W.;
Splines with nonnegative B-spline coefficients;
\MC; 28(126); 1974; 565--568;

%BoorDeVore1983
% carl 19nov95
\rhl{B}
\refJ Boor,  C. de, DeVore, R.;
Approximation by smooth multivariate splines;
\TAMS; 276(2); 1983; 775--788;

%BoorDeVore1985a
% carl
\rhl{B}
\refJ Boor, C. de, DeVore, R.;
A geometric proof of total positivity for spline interpolation;
\MC; 45(172); 1985; 497--504;

%BoorDeVore1985b
% carl
\rhl{B}
\refJ Boor,  C. de, DeVore, R.;
Partitions of unity and approximation;
\PAMS; 93; 1985; 705--709;

%BoorDeVoreHollig1980
% carl
\rhl{B}
\refJ Boor,  C. de, DeVore, R., H\"ollig, K.;
Mixed norm $n$-widths;
\PAMS; 80; 1980; 577--583;

%BoorDeVoreHollig1983
% larry
\rhl{B}
\refP Boor,  C. de, DeVore, R., H\"ollig, K.;
Approximation order from smooth bivariate pp functions;
\TexasIV; 353--357;

%BoorDeVoreRon1993c
% carl
\rhl{B}
\refJ Boor,  C. de, DeVore, R., Ron, A.;
On the construction of multivariate (pre)\-wavelets;
% CMS-TSR  University of Wisconsin-Madison {\bf 92-9}, 1992,
\CA; 9; 1993; 123--166;

%BoorDeVoreRon1994b
% carl
\rhl{B}
\refJ Boor,  C. de, DeVore, R., Ron, A.;
The structure of finitely generated shift-invariant spaces in $L_2(\RR^d)$;
% CMS-TSR  University of Wisconsin-Madison {\bf 92-8}, 1992,
\JFA; 119(1); 1994; 37--78;

%BoorDeVoreRon1998
% carl 6aug96 26aug98
\rhl{B}
\refJ Boor, C. de, DeVore, R., Ron, A.;
Approximation orders of FSI spaces in $L_2(\RR^d)$;
\CA; 14; 1998; 631--652;

%BoorDeVoreRon94a 
% carl
\rhl{B}
\refJ Boor,  C. de, DeVore, R., Ron, A.;
Approximation from shift-invariant subspaces of $L_2(\RR^d)$;
% CMS-TSR  University of Wisconsin-Madison {\bf 92-2}, 1991,
\TAMS; 341; 1994; 787--806;

%BoorDynRon1991
% carl
\rhl{B}
\refJ Boor,  C. de, Dyn, N., Ron, A.;
On two polynomial spaces associated with a box spline;
\PJM; 147; 1991; 249--267;

%BoorDynRon2000
% . 02feb01
\refJ Boor, C. de, Dyn, N., Ron, A.;
Polynomial interpolation to data on flats in $\RR^d$;
% ms; 1993;
\JAT; 105(2); 2000; 313--343;

%BoorFix1973
% carl
\rhl{B}
\refJ Boor,  C. de, Fix, G. J.;
Spline approximation by quasi-interpolants;
\JAT; 8; 1973; 19--45;

%BoorFriedlandPinkus1982
% carl
\rhl{B}
\refJ Boor,  C. de, Friedland, S., Pinkus, A.;
Inverses of infinite sign regular matrices;
\TAMS; 274; 1982; 59--68;

%BoorHollig1982a
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
Recurrence relations for multivariate B-splines;
\PAMS; 85; 1982; 397--400;

%BoorHollig1982b
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
B-splines from parallelepipeds;
\JAM; 42; 1982/83; 99--115;

%BoorHollig1983a
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
Approximation order from bivariate $C^1$-cubics: a
	 counterexample;
\PAMS; 87; 1983; 649--655;

%BoorHollig1983b
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
Bivariate box splines and smooth pp functions on a
	 three direction mesh;
\JCAM; 9; 1983; 13--28;

%BoorHollig1987a
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
Minimal support for bivariate splines;
\ATA; 3; 1987; 11--23;

%BoorHollig1987b
% carl
\rhl{B}
\refP Boor,  C. de, H\"ollig, K.;
$B$-splines without divided differences;
\Troy; 21--27;

%BoorHollig1988
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
Approximation power of smooth bivariate pp functions;
\MZ; 197; 1988; 343--363;

%BoorHollig1991
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K.;
Box-spline tilings;
\AMMo; 98; 1991; 793--802;

%BoorHolligRiemenschneider1983
% larry
\rhl{B}
\refP Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
Bivariate cardinal interpolation;
\TexasIV; 359--363;

%BoorHolligRiemenschneider1985a
\rhl{B}
\refP Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
The limits of multivariate cardinal splines;
\MvatIII; 47--50;

%BoorHolligRiemenschneider1985b
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
Bivariate cardinal interpolation by splines
  on a three-direction mesh;
\IJM; 29; 1985; 533--566;

%BoorHolligRiemenschneider1985c
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
Convergence of bivariate cardinal interpolation;
\CA; 1; 1985; 183--193;

%BoorHolligRiemenschneider1985d
\rhl{B}
\refP Boor,  C. de, H\"ollig, K., Riemenschneider, S. D.;
On bivariate cardinal interpolation;
\VarnaIV; 254--259;

%BoorHolligRiemenschneider1986b
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
Convergence of cardinal series;
\PAMS; 98; 1986; 457--460;

%BoorHolligRiemenschneider1987
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
Some qualitative properties of bivariate Euler-Frobenius
 polynomials;
\JAT; 50; 1987; 8--17;

%BoorHolligRiemenschneider1989
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K., Riemenschneider, S.;
Fundamental solutions for multivariate difference equations;
\AJM; 111; 1989; 403--415;

%BoorHolligRiemenschneider1993
% carl
\rhl{B}
\refB Boor,  C. de, H\"ollig, K., Riemenschneider, S. D.;
Box Splines;
xvii + 200p, Springer-Verlag (New York); 1993;

%BoorHolligSabin1987
% carl
\rhl{B}
\refJ Boor,  C. de, H\"ollig, K., Sabin, M.;
High accuracy geometric Hermite interpolation;
\CAGD; 4; 1987; 269--278;

%BoorJia1985
% carl
\rhl{B}
\refJ Boor,  C. de, Jia, R. Q.;
Controlled approximation and a characterization of the local
	approximation order;
\PAMS; 95; 1985; 547--553;
% introduction of `local approximation order' as more useful than `controlled
% approximation order'. 

%BoorJia1993
% carl
\rhl{B}
\refJ Boor,  C. de, Jia, Rong-Qing;
A sharp upper bound on the approximation order of smooth bivariate pp
	 functions;
\JAT; 72(1); 1993; 24--33;
% Main result: $L_p$-approximation order of $\Pi_{k,\Delta}^\rho$, for
% $\rho>0$, $\Delta$ the three-direction mesh and $1\le p\le\infty$, is 
% at best $k$ when $k<3\rho+2$. Combines techniques from BoorHollig83a and
% Jia86

%BoorJiaPinkus1982
% carl
\rhl{B}
\refJ Boor,  C. de, Jia, Rong-Qing, Pinkus, A.;
Structure of invertible (bi)infinite totally positive matrices;
\LAA; 47; 1982; 41--55;

%BoorLycheSchumaker1976
\rhl{B}
\refP Boor,  C. de, Lyche, T., Schumaker, L. L.;
% larry
On calculating with B-splines II. Integration;
\NmatIII; 123--146;

%BoorLynch1966
% carl
\rhl{B}
\refJ Boor,  C. de, Lynch, R. E.;
On splines and their minimum properties;
\JMM; 15; 1966; 953--969;

%BoorPinkus1977
% carl
\rhl{B}
\refJ Boor,  C. de, Pinkus, A.;
Backward error analysis for totally positive linear systems;
\NM; 27; 1977; 485--490;

%BoorPinkus1978
% carl
\rhl{B}
\refJ Boor,  C. de, Pinkus, A.;
Proof of the conjectures of Bernstein and Erd\"os concerning the optimal
nodes for polynomial interpolation;
\JAT; 24; 1978; 289--303;

%BoorPinkus1981
% carl
\rhl{B}
\refR Boor,  C. de, Pinkus, A.;
A factorization of totally positive band matrices;
MRC Tech.\  Summ.\  Rpt.\ 2163; 1981;

%BoorPinkus1982
% carl
\rhl{B}
\refJ Boor,  C. de, Pinkus, A.;
The approximation of a totally positive band matrix by a strictly totally
positive one;
\LAA; 42; 1982; 81--98;

%BoorPinkus2003
% carl 23jun03
\rhl{}
\refJ Boor, C. de, Pinkus, A.;
The B-spline recurrence relations of Chakalov and of Popoviciu;
% ms; 2003;
\JAT; 124(1); 2003; 115--123;

%BoorRice1968a
% carl
\rhl{B}
\refR Boor,  C. de, Rice, J. R.;
Least squares cubic spline approximation I.  Fixed knots;
Comp.Sci.Dpt.\ TR 20, Purdue University; 1968;

%BoorRice1968b
% carl
\rhl{B}
\refR Boor,  C. de, Rice, J. R.;
Least squares cubic spline approximation II.  Variable knots;
Comp.Sci.Dpt.\ TR 21, Purdue University; 1968;

%BoorRice1979
% carl
\rhl{B}
\refJ Boor,  C. de, Rice, J. R.;
An adaptive algorithm for multivariate approximation
	 giving optimal convergence rates;
\JAT; 25; 1979; 337--359;

%BoorRon1989a
% larry
\rhl{B}
\refP Boor,  C. de, Ron, A.;
The limit at the origin of a smooth function space;
\TexasVI; 93--96;

%BoorRon1989c
% carl
\rhl{B}
\refP Boor,  C. de, Ron, A.;
Polynomial ideals and multivariate splines;
\MvatIV; 31--40;

%BoorRon1990
% greg
\rhl{B}
\refJ Boor,  C. de, Ron, A.;
On multivariate polynomial interpolation;
\CA; 6; 1990; 287--302;

%BoorRon1991a
% carl
\rhl{B}
\refJ Boor,  C. de, Ron, A.;
On polynomial ideals of finite codimension with
applications to box spline theory;
\JMAA; 158; 1991; 168--193;

%BoorRon1992a
% carl
\rhl{B}
\refJ Boor,  C. de, Ron, A.;
The least solution for the polynomial interpolation problem;
\MZ; 210; 1992; 347--378;

%BoorRon1992b
% carl
\rhl{B}
\refJ Boor, Carl de, Ron, Amos;
Computational aspects of polynomial interpolation in several variables;
\MC; 58(198); 1992; 705--727;

%BoorRon1992c
% sherm, update vol and pages
\rhl{B}
\refJ Boor,  C. de, Ron, A.;
The exponentials in the span of the multi-integer translates of a
compactly supported function;
\JLMS; 45(3); 1992; 519--535;

%BoorRon1992d
% carl
\rhl{B}
\refJ Boor,  C. de, Ron, A.;
Fourier analysis of the approximation power of principal shift-invariant spaces;
% CMS Tech.Rep.\ \#92-01 (July 1991). 
\CA; 8; 1992; 427--462;

%BoorRon2008
% . 26aug98 05mar08
\rhl{B}
\refJ Boor,  C. de, Ron, A.;
Box splines revisited: convergence
   and acceleration methods for the subdivision and the cascade algorithms;
% ms; 1998;
\JAT; 150(1); 2008; 1--23;

%BoorRonShen1996a
% carl 5dec96
\rhl{B}
\refJ Boor, C. de, Ron, A., Shen, Zuowei;
On ascertaining inductively the dimension of the joint kernel of certain
   commuting linear operators;
\AiAM; 17(3); 1996; 209--250;

%BoorRonShen1996b
% carl 12mar97
\rhl{B}
\refJ Boor, C. de, Ron, A., Shen, Zuowei;
On ascertaining inductively the dimension of the joint kernel of certain
   commuting linear operators. II;
\AiM; 123(2); 1996; 223--242;

%BoorSchoenberg1976
% carl
\rhl{B}
\refP Boor,  C. de, Schoenberg, I. J.;
Cardinal interpolation and spline functions VIII: The Budan
	 Fourier theorem for splines and applications;
\BoehmerII; 1--77;
% correction in KohlerNikolov95a
% ftp://ftp.cs.wisc.edu/Approx/boudanfourier.pdf

%BoorShekhtman2008
% carl 21nov08
\rhl{BS}
\refJ Boor, C. de, Shekhtman, B.;
On the pointwise limits of bivariate Lagrange projectors;
\LAA; 429(1); 2008; 311--325;

%BoorSwartz1973
% carl
\rhl{B}
\refJ Boor, C. de, Swartz, B.;
Collocation at Gaussian points;
\SJNA;	10; 1973; 582--606;

%BoorSwartz1977
% carl
\rhl{B}
\refJ Boor,  C. de, Swartz, B.;
Piecewise monotone interpolation;
\JAT; 21; 1977; 411--416;

%BoorSwartz1980
% carl
\rhl{B}
\refJ Boor, C. de, Swartz, Blair;
Collocation approximation to eigenvalues of an ordinary differential
equation: The principle of the thing;
\MC; 35(151); 1980; 679--694;

%BoorSwartz1981a
% carl
\rhl{B}
\refJ Boor, C. de, Swartz, Blair;
Collocation approximation to eigenvalues of an ordinary differential
equation: Numerical illustrations;
\MC; 36(153); 1981; 1--19;

%BoorSwartz1981b
% carl
\rhl{B}
\refJ Boor, C. de, Swartz, Blair;
Local piecewise polynomial projection methods for an O.D.E. which give
high-order convergence at knots;
\MC; 36(153); 1981; 21--33;

%Borel1999
% Meijering02 20nov03
\rhl{}
\refJ Borel, E.;
M\'emoire sur les s\'eries divergentes;
Ann.\ Scient.\ de l'Ecole Norm.\ Sup., ser.2; 16; 1899; 9--131;

%Born2006a
\rhl{B}
\refD Born,  M.;
Untersuchungen \"uber die Stabilit\"at der elastischen
Linie in Ebene und Raum;
Universit\"at G\"ottingen; 1906;

%Borodin2002
% VinetZhedanov04 03apr06
\rhl{}
\refJ Borodin, A.;
Duality of orthogonal polynomials on a finite set;
J.\ Statist.\ Phys.; 109(5-6); 2002; 1109--1120;

%Borsuk1957
% MR0088710 (19,567d) 06jun04
\rhl{}
\refJ Borsuk, K.;
On the $k$-independent subsets of the Euclidean space and of the Hilbert
   space;
Bull.{} Acad.{} Polon.{} Sci.{} Cl.{} III; 5; 1957; 351--356;
% $A\subset H$, with $H$ Hs, is $k$-independent if every $k+2$-subset of $A$
% is independent.
% used in %CohenFRHandel78

%BorweinErdelyi1994
% carl
\rhl{B}
\refJ Borwein, P., Erd\'elyi, T.;
Markov-Bernstein-type inequalities for classes of polynomials with restricted
zeros;
\CA; 10; 1994; 411--425;
% if $p$ has at most $k$ zeros in the open unit disk, then, pointwise on 
% [-1..1], and for all $p\in\Pi_n$, 
% $|Dp| \le \min(n(k+1), \sqrt{n(k+1)}/(1-()^2))\norm{p}_\infty$  

%BorweinErdelyi1995a
% . 21feb96
\rhl{B}
\refB Borwein, P., Erd\'elyi, T.;
Polynomials and polynomial inequalities;
Graduate Texts in Mathematics {\bf27}, Springer-Verlag (New York);
1995;

%BorweinShekhtman9x
\rhl{B}
\refR Borwein,  Peter, Shekhtman, Boris;
The density of rational functions in Markov systems: A counterexample to a
conjecture of D. J. Newman;
preprint;  April 1992;

%Bos1981
% author
\rhl{}
\refD Bos, L. P.;
Near optimal location of points for Lagrange interpolation in several variables;
University of Toronto; 1981;

%Bos1983a
% sonya, shayne 23may95
\rhl{B}
\refJ Bos, L.;
On Kergin interpolation in the disk;
\JAT; 37; 1983; 251--261;
% max norm error bounds for the Kergin interpolant to points equally spaced
% along the boundary of the unit disc

%Bos1983b
% author
\rhl{B}
\refJ Bos, Len;
Bounding the Lebesgue function for Lagrange interpolation on a simplex;
\JAT; 38; 1983; 43--59;

%Bos1989
% author
\rhl{B}
\refJ Bos, L.;
On a characteristic of points in $\RR^2$ having Lebesgue function of polynomial
growth;
\JAT; 56; 1989; 155--162;
% multivariate

%Bos1990
% author
\rhl{B}
\refJ Bos,  L.;
Some remarks on the Fejer problem for Lagrange interpolation in several
   variables;
\JAT; 60; 1990; 133--140;
% multivariate

%Bos1991
% author
\rhl{B}
\refJ Bos, L.;
On certain configurations of points in $\RR^n$ which are unisolvent for
polynomial interpolation;
\JAT; 64(3); 1991; 271--280;
% multivariate. generalizes ChungYao77 by choosing points on $\cap v_i$ with
% $v_i:= zeros(p_i)$ for fixed $p_i$, pairwise rel.prime, hence corresponding 
% ideal is primary.

%BosCaliariDeMarchiVianelloXuY2006
% carl
\rhl{BoCMVX}
\refJ Bos, L., Caliari, M., De Marchi, S., Vianello, M., Xu, Yuan;
Bivariate Lagrange interpolation at the Padua points: the generating 
   curve approach;
\JAT; 143(1); 2006;  15--25;

%BosCalvi1997
% shayne 29apr97 15jan99
\rhl{B}
\refJ Bos, L., Calvi, J.-P.;
Kergin interpolants at the roots of unity approximate $C^2$ functions;
J. Anal.\ Math.; 72; 1997; 203--221;
% We establish a new formula for Kergin interpolation in the plane
% and use it to prove that the Kergin interpolation polynomials at
% the roots of unity of every function of class $C^2$ in a neighbourhood
% of the unit disc D converge uniformly to the function on D.

%BosCalviLevenbergSommarivaVianello2011
% carl 25mar11
\rhl{BCLSV}
\refJ Bos, L., Calvi, J.-P., Levenberg, N., Sommariva, A., Vianello, M.;
Geometric weakly admissible meshes, discrete least squares approximation
   and approximate Fekete points;
\MC; ?; 2011; xxx--xxx;

%BosDeMarchi1999
% .  16mar01
\rhl{BDM}
\refJ Bos, L., De Marchi, St.;
Limiting values under scaling of the Lebesgue function for polynomial
   interpolation on spheres;
\JAT; 96; 1999; 366--377;

%BosDeMarchi2000
% . 02feb01
\rhl{}
\refJ Bos, L., De Marchi, St.;
Fekete points for bivariate polynomials restricted to $y=x^m$;
\EJA; 6; 2000; 1--12;

%BosDeMarchiSommarivaVianello2010
% carl 25mar11
\rhl{BDMSV}
\refJ Bos, L., De Marchi, S., Sommariva, A., Vianello, M.;
Computing multivariate Fekete and Leja points by numerical linear algebra;
\SJNA; 28; 2010; 1984--1999;

%BosDeMarchiSommarivaVianello2011
% carl 25mar11
\rhl{BDMSV}
\refJ Bos, L., De Marchi, S., Sommariva, A., Vianello, M.;
Weakly admissible meshes and discrete extremal sets;
Numer.\ Math.\ Theory Methods Appl.; 4; 2011; 1--12;

%BosGrabenstetterSalkauskas1990
\rhl{B}
\refJ Bos,  L., Grabenstetter, J., Salkauskas, K.;
Finite element interpolation with weighted smoothing;
Monografias de la Academia de Ciencias de Zaragoza; 2; 1990; 17--23;

%BosGrabenstetterSalkauskas1991
% author
\rhl{B}
\refJ Bos,  L., Grabenstetter, J. E., Salkauskas, K.;
Pseudo-tensor product interpolation and blending with families of univariate
schemes;
\CAGD; xx; 199x; xxx--xxx;
% multivariate

%BosLevenbergWaldron2004
% authors 05mar08
\rhl{BLW}
\refP Bos, L., Levenberg, N., Waldron, S.;
Metrics associated to multivariate polynomial inequalities;
\Advances; 133--147;

%BosLevenbergWaldron2008a
% authors 05mar08
\rhl{BLW}
\refJ Bos, L., Levenberg, N., Waldron, S.;
Pseudometrics, distances and multivariate polynomial inequalities;
xxx; xx; 2008; xxx--xxx;

%BosLevenbergWaldron2008b
% authors 05mar08
\rhl{BLW}
\refR Bos, L., Levenberg, N., Waldron, S.;
On the spacing of multivariate Fekete points;
ms; 2008;
% xxx; xx; 2008; xxx--xxx;

%BosLevenbergWaldron2008c
% . 04mar10
\rhl{BLW}
\refR Bos, L., Levenberg, N., Waldron, S.;
On the spacing of Fekete points for a sphere, ball or simplex;
ms; 2008;
% xxx; xx; 2008; xxx-xxx;

%BosSalkauskas1987
% sonya
\rhl{B}
\refJ Bos,  L., Salkauskas, K.;
On the matrix $[|x_i-x_j|^3]$ and the cubic spline continuity equations;
\JAT; 51(1); 1987; 81--88;

%BosSalkauskas1988
% author
\rhl{B}
\refJ Bos, L., Salkauskas, K.;
Comment on the representation of splines as Boolean sums;
\JAT; 53; 1988; 155--162;
% multivariate

%BosSalkauskas1989
% carl
\rhl{B}
\refJ Bos,  L. P., Salkauskas, K.;
Moving least-squares are Backus-Gilbert optimal;
\JAT; 59(3); 1989; 267--275;

%BosSalkauskas1992
% carl
\rhl{B}
\refP Bos,  L., Salkauskas, K.;
Weighted splines based on piecewise polynomial weight functions;
\Hagennitwa; 87--98;

%BosSalkauskas1993
% sherm, update vol and pages
\rhl{B}
\refJ Bos,  L., Salkauskas, K.;
Limits of weighted splines based on piecewise constant weight functions;
\RMJM; 23(2); 1993; 483--493;

%BosTaylorWingate2001
% carl 04mar10
\rhl{BTW}
\refJ Bos, L., Taylor, M. A., Wingate, B. A.;
Tensor product Gauss-Lobatto points are Fekete points for the cube;
\MC; 70(236); 2001; 1543--1547;

%BosWaldron2000
% MR1877498 (2003h:41041) 
\rhl{}
\refP Bos, Len, Waldron, Shayne;
On the structure of Kergin interpolation for points in general position;
\BommerholzII; 75--87;

%BoseRamaswamiToussaintTurki2002
% larry Lai-Schumaker book
\rhl{BoseRTT02}
\refJ Bose, P., Ramaswami, S., Toussaint, G., Turki, A.;
Experimental results on quadrangulations of sets of fixed points;
\CAGD; 19; 2002; 533-552;

%BoseTossaint1997
% lls Lai-Schumaker book
\rhl{BoseT97}
\refJ Bose, P., Toussaint, G.;
Characterizing and efficiently computing quadrangulations
   of planar point sets;
\CAGD; 14; 1997; 763--785;

%BosmaCannonPlayoust1997
% shayne 23jun03
\rhl{}
\refJ Bosma, W., Cannon, J., Playoust, C.;
The {\tt Magma} algebra system I: The user language;
J.\ Symbolic Comput.; 24; 1997; 235--265;

%BosnerRogina2001
% Mladen Rogina 08apr04
\rhl{}
\refQ Bosner, T., Rogina, M.;
A stable algorithm for calculating with Q-splines;
(Proceedings of Computational and Applied Mathematics), M. Rogina, V. Hari, 
Z. Tutek, N. Limi\ae{} (eds.),
University of Zagreb (Zagreb, Croatia); 2001; 99--104;
% http://www.math.hr/applmath99/

%Bosse1939
% . 22may98
\rhl{B}
\refJ Bosse, Y.;
On inequalities between derivatives;
Sb.\ Rabot Student.\ Nauchnykh Kruzkov MGU;  ; 1939; 17--27;
% source for Kolmogorov39's use of Euler splines in proving Landau-Kolmogorov
% but attributed in Kolmogorov39 to Shilov.

%Bosworth1987
\rhl{B}
\refP Bosworth,  K. W.;
Shape constrained curve and surface fitting;
\Troy;	247--264;

%BosworthLall1993
% carl
\rhl{B}
\refJ Bosworth,  K. W., Lall, Upmanu;
An $L_1$ smoothing spline algorithm with cross validation;
\NA; 5; 1993; 407--417;

%Botella1999
% author 02feb01
\rhl{}
\refR Botella, O.;
A velocity-pressure {N}avier-{S}tokes solver using
   a {B}-spline collocation method;
 CTR Annual Research Briefs 1999, Center for
Turbulence Research NASA Ames/Stanford Univ., pp.{} 403--421; 1999;
% http://ctr.stanford.edu/ResBriefs99/botella.pdf

%Botella2000
% author 02feb01
\rhl{}
\refR Botella, O.;
A high-order approximate-mass spline collocation
   scheme for incompressible flow simulations;
 CTR Annual Research Briefs 2000, Center for
Turbulence Research NASA Ames/Stanford Univ., pp.{} 149--167; 2000;
% http://ctr.stanford.edu/ResBriefs00/botella.pdf

%BottcherStrayer1990
% . 23jun03
\rhl{}
\refQ Bottcher, C., Strayer, M. R.;
The basis spline method and associated techniques;
(Computational Atomic and Nuclear Physics), C. Bottcher, M. R. Strayer, and
J. B. McGrory (eds.), World Scientific Publ.{} (Singapore); 1990; 217--240;

%BottcherStrayer1993
% . 23jun03
\rhl{}
\refQ Bottcher, C., Strayer, M. R.;
Spline methods for conservation equations;
(Computational Acoustics -- Vol.~2), D. Lee, A. R. Robinson, and R.
Vichnevetsky (eds.), Elsevier Science Publ.{} (Amsterdam); 1993; 317--338;

%Bouhamidi2005
% author 05mar08
\rhl{B}
\refJ Bouhamidi, A.;
Weighted thin plate splines;
Anal.\ Applic.; 3(3); 2005; 297--324;

%BouhamidiLeMehaute1994
% larry 26aug98
\rhl{B}
\refP Bouhamidi, A., LeM\'ehaut\'e, A.;
Spline curves and surfaces  with tension;
\ChamonixIIb; 51--58;

%BouhamidiLeMehaute1999
% authors 05mar08
\rhl{BL}
\refJ Bouhamidi, A., Le M\'ehaut\'e, A.;
Multivariate interpolating $(m,\ell,s)$-splines;
Adv.\ Comput.\ Math.; 11; 1999; 287--314;

%BousquetDaniel1997
% larry 10sep99
\rhl{BD}
\refP Bousquet, J., Daniel, M.;
Flaw removal on surfaces;
\ChamonixIIIa; 43--52;

%Bowyer1981
% larry
\rhl{B}
\refJ Bowyer,  A.;
Computing Dirichlet tessellations;
Computer J.; 24; 1981; 162--166;

%Boyd1969
% shayne  19nov95
\rhl{B}
\refJ Boyd, D. W.;
Best constants in a class of integral inequalities;
\PJM; 30(2); 1969; 367--383;
% some results of this paper, which connects the best constant in certain
% integral inequalities to the solutions of an associated eigenvalue problem,
% apply to the problem of finding L_p-error bounds for Hermite interpolation

%BozziniLenarduzzi1975
% larry
\rhl{B}
\refJ Bozzini,  M., Lenarduzzi, L.;
Una tecnica Monte Carlo per l'interpola\-zione multivariabile
	 mediante funzioni splines;
Calcolo;  XII; 1975; 201--210;

%BozziniLenarduzzi1976
% larry
\rhl{B}
\refJ Bozzini,  M., Lenarduzzi, L.;
Sul problema dell'interpolazione multivariabile con dati
	 non posti su un reticolo;
Atti Sem.\ Fis.\ Univ.\ Modena;  XXV; 1976; 295--303;

%BozziniLenarduzzi1981a
% larry
\rhl{B}
\refJ Bozzini,  M., Lenarduzzi, L.;
Approximation of multivariable functions with respect to random
	 points less than $2^k$, $k$ dimension of space;
\NM; 37; 1981; 193--201;

%BozziniLenarduzzi1981b
% larry
\rhl{B}
\refJ Bozzini,  M., Lenarduzzi, L.;
Formula a un passo basata sui polinomi di ottima approssimazione
secondo Sard;
Riv.\ Mat.\ Univ.\ Parma; 7; 1981; 237--244;

%BozziniLenarduzzi1985
% larry
\rhl{B}
\refP Bozzini,  M., Lenarduzzi, L.;
Local smoothing for scattered and noisy data;
\MvatIII; 51--60;

%BozziniLenarduzzi1988
\rhl{B}
\refR Bozzini,  M., Lenarduzzi, L.;
Smoothing with weight variable both in shape and support;
Univ.\ Lecce; 1988;

%BozziniRossini2000
% larry 20apr00
\rhl{}
\refP Bozzini, Mira, Rossini, Milvia;
On a method of numerical differentiation;
\Stmalof; 85--94;

%BozziniTisiLenarduzzi1984
\rhl{B}
\refJ Bozzini,  M., deTisi, F., Lenarduzzi, L.;
An approximation method of the local type.\ Application to the heart 
potential mapping;
\C; 32; 1984; 69--80;

%BozziniTisiLenarduzzi1986
\rhl{B}
\refJ Bozzini,  M., deTisi, F., Lenarduzzi, L.;
A new method in order to determine the most significant members within a
large sample;
\SJSSC; 7; 1986; 98--104;

%BozziniTisiRossini1994
% larry
\rhl{B}
\refP Bozzini, M., Tisi, F. De, Rossini, M.;
Irregularity detection from noisy data with wavelets;
\ChamonixIIb; 59--66;

%Braess1971
% larry
\rhl{B}
\refJ Braess,  D.;
Chebyshev approximation by spline functions with free knots;
\NM; 17; 1971; 357--366;

%Braess1971a
% sherm
\rhl{B}
\refP Braess,  D.;
\"Uber die Mehrdeutigkeit bei der Approximation durch Spline-Funktionen mit
freien Knoten;
\NmatI; 9--18;

%Braess1973a
% sonya
\rhl{B}
\refJ Braess,  D.;
Chebyshev approximation by $\gamma$-polynomials;
\JAT; 9; 1973; 20--43;

%Braess1973b
% larry
\rhl{B}
\refJ Braess,  D.;
Rationale Interpolation, Normalit\"at und Monosplines;
\NM; 22; 1974; 219--232;

%Braess1974a
% sonya
\rhl{B}
\refJ Braess,  D.;
On varisolvency and alternation;
\JAT; 12; 1974; 230--233;

%Braess1974b
% sonya
\rhl{B}
\refJ Braess,  D.;
On the nonuniqueness of monosplines with least $L_2$ norm;
\JAT; 12; 1974; 91--93;

%Braess1974c
% sonya
\rhl{B}
\refJ Braess,  D.;
Chebyshev approximation by $\gamma$-polynomials, II;
\JAT; 11; 1974; 16--37;

%Braess1974d
% sonya
\rhl{B}
\refJ Braess,  D.;
Geometrical characterizations for the nonlinear uniform approximation;
\JAT; 11; 1974; 260--274;

%Braess1975a
% larry 02feb01
\rhl{B}
\refJ Braess, D.;
On the degree of approximation by spline functions with free knots;
\AeM; 12; 1975; 80--81;

%Braess1975b
% larry 02feb01
\rhl{B}
\refJ Braess, D.;
On the number of best approximations in certain non-linear families of
functions;
\AeM; 12; 1975; 184--199;

%Braess1986
\rhl{B}
\refB Braess,  D.;
{\sl Nonlinear Approximation Theory};
Springer Verlag (Berlin); 1986;

%Braess1992
% . 02feb01
\rhl{}
\refB Braess, D.;
Finite Elemente;
Springer-Verlag (Heidelberg); 1992;
% English translation, by Larry Schumaker, in 1997

%Braess1999a
% 5dec96
\rhl{B}
\refR Braess,  D.;
Zur Existenz einer besten Approximation bei freien Knoten;
xx; 19xx;

%Braess1999b
\rhl{B}
\refR Braess,  D.;
Bemerkung zur nicht-eindeutigkeit des besten $L_2$ Monosplines;
xx; 19xx;

%Braess1999c
\rhl{B}
\refR Braess,  D.;
Kritische Punkte bei der nichtlinearen Tschebyscheff-Approximation;
xx; 19xx;

%BraessDyn1982
% sherm
\rhl{B}
\refJ Braess,  D., Dyn, N.;
On the uniqueness of monosplines and perfect splines of least
$L_1$- and $L_2$-norm;
\JAM; 41; 1982; 217--233;

%BraessPinkus1993
% carl
\rhl{B}
\refJ Braess,  D., Pinkus, A.;
Interpolation by ridge functions;
\JAT; 73(2); 1993; 218--236;

%BraessWerner1974
% sherm
\rhl{B}
\refJ Braess,  D., Werner, H.;
Tchebysheff-Approximation mit einer Klasse rationaler Splinefunktionen II;
\JAT; 10; 1974; 379--399;

%Braid1993
% carl
\rhl{B}
\refP Braid,  Ian C.;
Boundary modeling;
\Piegl; 165--184;
% expository

%BrambleHilbert1970
% larry
\rhl{B}
\refJ Bramble,  J. H., Hilbert, S. R.;
Estimation of linear functionals on Sobolev spaces
   with application to Fourier transforms and spline interpolation;
\SJNA; 7; 1970; 112--124;

%BrambleHilbert1971
% carl
\rhl{B}
\refJ Bramble, James H., Hilbert, S. R.;
Bounds for a class of linear functionals with
	 applications to Hermite interpolation;
\NM; 16; 1971; 362--369;

%BramblePasciakZhangXJ9x
% carl 20apr00
\rhl{}
\refJ Bramble, James, Pasciak, J. E.,  Zhang, XueJun;
Two-Level preconditioners for 2m'th order elliptic finite element problems;
East-West J.\ Numer.\ Math.; 4; 1996; 99--120;
% more on multilevel fem without nested spaces

%BrambleZhangXJ9x
% carl 20apr00
\rhl{}
\refJ Bramble, James, Zhang, XueJun;
Multigrid methods for the biharmonic problem discretized by conforming $C^1$
   finite elements on nonnested meshes;
Numer.\ Funct.\ Anal.\ and Optimiz.; 1; 1995; 835--846;
% does multilevel fem without demanding a nested sequence of fem spaces
% see also '92 paper by D\"orfler on adaptive refinement

%BrambleZlamal1970
% carl
\rhl{B}
\refJ Bramble, James H, Zl\'amal, Milo\v s;
Triangular elements in the finite element method;
\MC; 24(112); 1970; 809--820;
% Ritz method, Galerkin method, piecewise polynomial subspaces,
% approximation of solution, elliptic boundery problems.

%BranniganEyre1983a
\rhl{B}
\refJ Brannigan,  M., Eyre, D.;
Splines and the projection collocation method for solving the integral
equations of scattering theory;
J.Math.Phys.; 24; 1983; 177--183;

%BranniganEyre1983b
\rhl{B}
\refJ Brannigan,  M., Eyre, D.;
Splines and the Galerkin method for solving the integral
equations of scattering theory;
J.Math.Phys.; 24; 1983; 1548--1554;

%Brass1984a
% shayne 26oct95
\rhl{B}
\refJ Brass, H.;
Error estimates for least squares approximation by polynomials;
\JAT; 41; 1984; 345--349;
% a nice paper giving a sharp bound for the max norm of the error in weighted 
% least squares approximation to f from polynomials of degree \le k in terms of 
% the max norm of D^{k+1}f for various weights. A very interesting example
% included in the setup is the (truncated) Chebyshev series for f. Here the 
% bound given for the error is exactly the same as the bound for the (max norm)
% error in best approximation from \Pi_k to f in terms of the max norm of
% D^{k+1}f

%Brass1992a
% shayne 14sep95
\rhl{B}
\refQ Brass, H.;
Error bounds based on approximation theory;
(Numerical integration), T. O. Espelid, A. Genz (eds.),
Kluwer Academic Publishers (Netherlands); 1992; 147--163;
% survey article
% the author has written many other articles on the error in quadrature
% formulae -- some of which I will likely send later

%BrassForster1996a
% shayne 5dec96
\rhl{B}
\refR Brass, H., F\"orster, Klaus-J\"urgen;
On the application of the Peano representation of linear functionals in
   numerical analysis;
preprint, Hildesheim; 1996;

%BrassForster1997
% shayne 20jun97
\rhl{B}
\refQ Brass, H., F\"orster, Klaus-J\"urgen;
On the application of the Peano representation of linear functionals in
   numerical analysis;
(Recent Progress in Inequalities), Milovanovic, G.V. (ed.),
Kluwer Academic Publishers (Dordrecht); 1997; xxx--xxx;

%BrassGunttner1973
% carl
\rhl{B}
\refJ Bra\ss, H., G\"unttner, R.;
Eine Fehlerabsch\"atzung zur Interpolation stetiger Funktionen;
Studia Sci.\ Math.\ Hungar.; 8; 1973; 363--367;
% nice use of summation by parts to get the estimate 
% $\norm(f-P_hf)_\infty\le(1+\norm{P_n})/2 \omega(f,h)$ e.g. for pol.int.
% with max spacing  h . Note (optimal) factor 1/2 .

%BrassSchmeisser1981a
% shayne 5dec96
\rhl{B}
\refJ Brass, H., Schmeisser, G.;
Error estimates for interpolatory quadrature formulae;
\NM; 37; 1981; 371--386;

%BrasselReif1979
\rhl{B}
\refJ Brassel,  K. E., Reif, D.;
Procedure to generate Thiessen polygons;
Geograph.\ Anal.; 11; 1979; 289--303;

%BrauerCoxeter1940
% shayne 16aug02
\rhl{}
\refJ Brauer, R., Coxeter, H. S. M. ;
A generalization of theorems of Sch\"onhardt and Mehmke on polytopes ;
Trans.\ Roy.\ Soc.\ Canada.\ Sect.\ III. (3) ; 34; 1940; 29--34;

%BraunSambridge95 
% carl 26oct95
\rhl{B}
\refJ Braun, J., Sambridge, M.; 
A numerical method for solving
   partial differential equations on highly irregular grids;
Nature; 376; 1995; 655--660;
% natural neighbor interpolation using Dirichlet(Voronoi) tesselation, see 
% Sibson81, Sibson80

%BrennerScott1994a
% shayne 26oct95
\rhl{B}
\refB Brenner, S. C., Scott, L. R.;
The mathematical theory of finite element methods;
Springer-Verlag (New York); 1994;
% a readable introduction to the finite element method and theory

%BressloffWeir1991
\rhl{B}
\refJ Bressloff,  P. C., Weir, D. J.;
Neural Networks; 
{GEC Journal of Research};  8; 1991; 151--169;

%Bressoud1983
\rhl{B}
\refJ Bressoud,  T. C.;
Fun with splines;
Pentagon;  42; 1983; 85--98;

%Brezinski1983
% . 03apr06
\rhl{}
\refQ Brezinski, C.;
Outlines of Pad\'e approximation;
(Computational Aspects of Complex Analysis (Braunlage, 1982), Vol.~102 NATO
Adv.\ Sci.\ Inst.\ Ser.{} C: Math.\ Phys.\ Sci.), 
   xxx (ed.), Reidel (Dordrecht); 1983; 1--50;
% first occurrence (?) for the special case $f = ()^0$ of 
% P(f/(\cdot-z)) = {\go(z) Pf - \go (Pf)(z)\over \go(z)(\cdot-z)} 
% with Pf the unique pol of degree < deg\go for which \go divides f-Pf .

%Brezinski1992
% carl
\rhl{B}
\refB Brezinski,  Claude;
Biorthogonality and its Applications to Numerical Analysis;
v+166p, Marcel Dekker, Inc. (New York); 1992;
% interpolation, Pade, divided difference, recurrence

%Brezinski1994
% larry
\rhl{B}
\refP Brezinski, C.;
An introduction to Pad\'e approximations;
\ChamonixIIa; 59--65;

%Brezinski1994a
% shayne 14sep95
\rhl{B}
\refJ Brezinski, C.;
The generalisations of Newton's interpolation formula due to M\"uhlbach and
   Andoyer;
Electronic Transactions in Numerical Analysis; 2; 1994; 130--137;
% historical account of the use of generalised divided differences
% (given as a quotient of determinants) to describe approximations
% from a Chebyshev system (see Popoviciu59)

%Brezinski1994b
% .
\rhl{B}
\refQ Brezinski, C.;
Historical perspective on interpolation, approximation and quadrature;
(Handbook of Numerical Analysis, vol.\ III), 
P. G. Ciarlet and J. L. Lions (eds.),
North-Holland (Amsterdam); 1994; xxx--xxx;

%BrezinskiWalz1991
% carl
\rhl{B}
\refJ Brezinski,  C., Walz, G.;
Sequences of transformations and triangular recursion schemes with applications
in Numerical Analysis;
\JCAM; 34; 1991; 361--383;

%BriggsI1974
% carl
\rhl{B}
\refJ Briggs, I. C.;
Machine contouring using minimum curvature;
Geophysics; 39(1); 1974; 39--48;
% first paper on thin-plate splines? Obtains a discrete approximation to the
% thin-plate spline interpolant by solving the biharmonic equation, with a 
% right side of point masses, by standard finite differences.

%BriggsWHensen1993
% carl
% sherm, update pagination
\rhl{B}
\refJ Briggs, William L., Hensen, Van Emden;
Wavelets and multigrid;
\SJSC; 14(2); 1993; 506--510;

%Brink1972a
% shayne 26oct95
\rhl{B}
\refJ Brink, J.;
Inequalities involving $\norm{f}_p$ and $\norm{f^{(n)}}_q$ for $f$ with 
   $n$ zeros;
\PJM; 42; 1972; 289--311;
% certain Wirtinger inequalities related to the error in Hermite interpolation
% many of which follow from my basic estimate (...)

%Brink1977
\rhl{B}
\refR Brink-Spaelink,  J.;
Eine Regularisierung der Splines mit freien Knoten;
Munster; 1977;

%BrocardLemoyne1967a
\rhl{B}
\refB Brocard,  H., Lemoyne, T.;
Courbes G\'eom\'etriques Remarquables, Vol.\ I;
Albert Blanchard (Paris); 1967;

%Brodlie1980
% . 26aug98
\rhl{B}
\refP Brodlie,  K. W.;
A review of methods for curve and function drawing;
\Brodlie; 1--37;
% Deng Jyh-jeng points to this as a good source for spline methods.

%Brooks1971
\rhl{B}
\refR Brooks,  P. D.;
An investigation of the accuracy of multiquadric
	 equations of topography;
Rpts.\ 1-4, U.S. Army Topographic Command; 1971;

%Brooks1991
\rhl{B}
\refR Brooks,  M.;
Scale dependent monotonicity of finite real functions;
xxx; xxx;

%BroomheadLowe1988
\rhl{B}
\refJ Broomhead,  D., Lowe, D.;
Multivariable functional interpolation and adaptive networks; 
{Complex Systems};  2; 1988; 321--355;

%Brou1994
% larry
\rhl{B}
\refP Brou, J. C. Koua;
A knot removal strategy for spline curves;
\ChamonixIIa; 277--284;

%Brown1982a
\rhl{B}
\refR Brown,  A. L.;
Continuous selections for metric projections in spaces of continuous
functions: on results of Thomas Fischer, results of Li Wu, and the
relations between them;
xx; 1982;

%Brown1982b
% sonya
\rhl{B}
\refJ Brown,  A. L.;
An extension to Mairhuber's theorem.\ On metric projections
and discontinuity of multivariate best uniform approximation;
\JAT; 36; 1982; 156--172;

%Brown1982c
% larry
\rhl{B}
\refJ Brown,  A. L.;
Set valued mappings, continuous selections and metric projections;
\JAT; 5; 1989; 48--68;

%Brown1994
% larry
\rhl{B}
\refP Brown, J. L.;
Natural neighbor interpolation on the sphere;
\ChamonixIIb; 67--74;

%BrownHintonSchwabik1996
% shayne 12mar97
\rhl{B}
\refJ Brown, R. C., Hinton, D. B., Schwabik, S.;
Applications of a one-dimensional Sobolev inequality to eigenvalue
   problems;
Differential and Integral Equations; 9; 1996; 481--498;
% connected with Schmidt's inequality (ask Shayne)

%BrownR1973
\rhl{B}
\refR Brown,  R. C.;
Adjoint domains and $LG$-splines;
MRC 1341; 1973;

%BrownRC1976a
% . 19may96
\rhl{B}
\refR Brown, R. C.;
Generalized boundary value problems and B-splines;
MRC TSR\#1418, U. Wisconsin (Madison WI); 1976;

%BrownWorsey1992
% larry Lai-Schumaker book
\rhl{BroW92}
\refJ Brown, J. L., Worsey, A. J.;
Problems with defining barycentric coordinates for the sphere;
\MMNA; 26; 1992; 37--49;

%BruceGiblin1984a
\rhl{B}
\refB Bruce,  J. W., Giblin, P. J.;
Curves and Singularities;
Cambridge Univ.\ Press (xxx); 1984;

%BruceGiblinGibson1981a
\rhl{B}
\refJ Bruce,  J. W., Giblin, P. J., Gibson, C. G.;
On caustics of plane curves;
Amer.\ Math.\ Monthly; 88; 1981; 651--667;

%Brudnyi1971
\rhl{B}
\refJ Brudnyi,  Ju.\ A.;
Piecewise polynomial approximation and local approximations;
Soviet Math.\  Dokl.;   12; 1971; 1591--1594;

%BrudnyiShalahov1983a
% .
\rhl{B}
\refB Brudnyi, Ju.\ A., Shalashov, XXX.;
Teorija Splainov;
xxx (xxx); 1983;

%BrudnyiShvartzman1985
% carlrefs 20nov03
\rhl{}
\refJ Brudnyi, Yuri, Shvartzman, Pavel;
A linear extension operator for a space of smooth functions defined on a closed
   subset of $\RR^n$;
Sov.\ Math.\ Dokl.; 31(1); 1985; 48--51;
% Dokl.\ Akad.\ Nauk SSSR: 280(2): 1985: xxx--xxx:

%BrudnyiShvartzman1991
% carlrefs 20nov03
\rhl{}
\refQ Brudnyi, Yuri, Shvartzman, Pavel;
The traces of differentiable functions to closed subsets of $\RR^n$;
(Function Spaces, Proc.\ 2nd Intern.\ Conf., Poznan 1989), Julian Musielek,
Henryk Hudzik, Ryszard Urbanski (eds.), Teubner Texte zur Mathematik - Band
120, B. G. Teubner (Stuttgart); 1991; 206--210;

%BrudnyiShvartzman1992
% carlrefs 20nov03
\rhl{}
\refR Brudnyi, Yuri, Shvartzman, Pavel;
Whitney's problem, I;
Technion preprint series MT-937; 1992;

%BrudowskyFreedenTucks1999
\rhl{B}
\refR Brudowsky,  J., Freeden, W., T\"ucks, M.;
Deformation of the earth by a constructive interpolation model;
Univ.\ of Kaiserslautern; xxx;

%Brueckner1980
% carl
\rhl{B}
\refJ Brueckner, Ingrid;
Construction of B\'ezier points of quadrilaterals from those of triangles;
\CAD; 12(1); 1980; 21--24;

%Brumme1994
% larry
\rhl{B}
\refP Brumme, G.;
Error  estimates for periodic interpolation by translates;
\ChamonixIIb; 75--82;

%Brunet1988a
% greg
\rhl{B}
\refJ Brunet,  P.;
Including shape handles in recursive subdivision surfaces;
\CAGD; 5; 1988; 41--50;

%BrunetAyalaNavazo1983
%  initials might be wrong!
\rhl{B}
\refQ Brunet,  P., Ayala, D., Navazo, I.;
An interactive algorithm for the generation of B-spline surfaces;
(Proc.\ ICS-83), H. J. Schneider (ed.), Teubner (Stuttgart); 1983; XX;

%BrunetNavazo1985a
% sherm, update editor
\rhl{B}
\refQ Brunet,  P., Navazo, I.;
Geometric modeling using exact
octree representation of polyhedral objects;
(Proc.\ Eurographics'85), C. E. Vandoni (ed.),
North-Holland (Amsterdam);  1985; 159--169;

%BrunetNavazoVinacua1991a
\rhl{B}
\refR Brunet,  P., Navazo, I., Vinacua, A.;
A modeling scheme for the approximate representation of closed surfaces;
Geometric Modeling Seminar, Schloss Dagstuhl; July 1991;

%BrunetVinacua1989a
\rhl{B}
\refR Brunet,  P., Vinacua, A.;
Increasing the flexibility of
VC$^1$ connections of B\'ezier patches;
Technical Report 89-12,
Polytechnic University of Catalonia; 1989;

%BrunetVinacua1991a
\rhl{B}
\refP Brunet,  P., Vinacua, A.;
Surfaces in solid modeling;
\HagenRoller; 17--34;

%BrunieCinquin1994
% larry
\rhl{B}
\refP Brunie, L., Cinquin, P.;
An energy-based paradigm for multimodal images fusion;
\ChamonixIIb; 83--91;

%Brunnett1992a
% carlrefs
\rhl{}
\refP Brunnett, Guido H.;
Properties of minimal-energy splines;
\Hagennitwa; 3--22;

%Brunnett1992b
% carl
\rhl{B}
\refP Brunnett,  Guido;
A new characterization of plane elastica;
\Biri; 43--56;

%Brunnett1992c
\rhl{B}
\refR Brunnett, G.;
Modeling of  parallel curves on surfaces;
College of Engineering \& Applied Sciences, Arizona State University, 
TR-92-017; 1992;
% \ACMTG: xx: xxxx: xxx--xxx: 

%Brunnett1992d
% carlrefs 20nov03
\rhl{}
\refJ Brunnett, G.;
Geometric design with trimmed surfaces;
\C; xx; 199x; xxx--xxx;

%Brunnett1993a
% carl
\rhl{B}
\refR Brunnett,  Guido;
The curvature of plane elastic curves;
NPS-MA-93-013, Naval Postgraduate School (Monterey CA 93943); 1993;

%Brunnett1999a
\rhl{B}
\refR Brunnett,  G.;
Spline approximation of interpolating elastica;
in preparation; xxx;

%BrunnettCrouch1994
% carl
\rhl{B}
\refJ Brunnett,  G., Crouch, P.;
Elastic Curves on the Sphere;
\AiCM; 2; 1994; 23--40;

%BrunnettCrouchSilvaYanY1993
% carlrefs 20nov03
\rhl{}
\refQ Crouch, P. E., Yan, Y., Silva, F., Brunnett, G.;
On the construction of spline elements on the sphere;
(Proc.\ 2nd Europ.\ Conf.\ Contro, den Haag), xxx (ed.), xxx (xxx); 1993; 
xxx--xxx;

%BrunnettHagenSantarelli1993
% carlrefs 20nov03
\rhl{}
\refJ Brunnett, Guido, Hagen, Hans, Santarelli, Paulo;
Variational design of curves and surfaces;
Surv.\ Math.\ Ind; 3; 1993; 1--27;

%BrunnettKiefer1994
% author, carl
\rhl{B}
\refJ Brunnett, Guido, Kiefer, Johannes;
Interpolation with minimal-energy splines;
\CAD; 26(2); 1994; 137--144;
% smoothing interpolation, nonlinear splines.

%BrunnettSchreiberBraun1996
% . 24mar99
\rhl{B}
\refJ Brunnett, G., Schreiber, T., Braun, J.;
The geometry of optimal degree reduction of B\'ezier curves;
\CAGD; 13; 1996; 773--788;

%BrunnettWendt1994a
% carl 5dec96
\rhl{B}
\refR Brunnett, Guido, Wendt, J\"org;
A univariate method for plane elastic curves;
AG CAD und Algorithmische Geometrie, Universit\"at Kaiserslautern (Germany);
1994;

%Brutman1978a
% carl  22may98
\rhl{B}
\refJ Brutman, L.;
On the Lebesgue function for polynomial interpolation;
\SJNA; 15(4); 1978; 694--704;

%Brutman1980
% carl
\refJ Brutman, L.;
On the polynomial and rational projections in the complex plane;
\SJNA; 17(3); 1980; 366--371.

%Brutman1997a
% carl 05feb96 22may98 03dec99
\rhl{B}
\refJ Brutman, L.;
Lebesgue functions for polynomial interpolation -- a survey;
\AoNM; 4; 1997; 111--127;

%Brutman1998
% carl 26aug98
\rhl{B}
\refJ Brutman, Lev;
On rational interpolation to $|x|$ at the adjusted Chebyshev nodes;
\JAT; 95(1); 1998; 146--152;

%BrutmanPassow1995a
% carl 14sep95
\rhl{B}
\refJ Brutman, L., Passow, E.;
On the divergence of Lagrange interpolation to $|x|$;
\JAT; 81(1); 1995; 127--135;

%BrutmanPassow1997
% . 23jun03
\rhl{BP}
\refJ Brutman, L., Passow, E.;
On rational interpolation to $|x|$;
\CA; 13; 1997; 381--391;

%BrutmanPassow1997a
% . 25mar11
\rhl{BP}
\refJ Brutman, L., Passow, E.;
On rational interpolation to $|x|$;
\CA; 13; 1997; 381--391;

%BrutmanPassow1997b
% MR 23jun03
\rhl{BP}
\refJ Brutman, L., Passow, E.;
Rational interpolation to $|x|$ at the Chebyshev nodes;
Bull.\ Austral.\ Mathem.\ Soc.; 56; 1997; 81--86;

%BrutmanPinkus1980
% carl
\rhl{B}
\refJ Brutman, L., Pinkus, A.;
On the Erd\H{o}s conjecture concerning minimal norm interpolation on the unit 
   circle;
\SJNA; 17(3); 1980; 373--375;

%BryantGriffiths1986
% .
\rhl{B}
\refJ Bryant,  R., Griffiths, P.;
Reduction for constrained variational problems and $\int \kappa^2/2 ds$;
\AJM; 108; 1986; 525--570;
% elastica

%BuchananThomas1968
% larry
\rhl{B}
\refJ Buchanan,  J. E., Thomas, D. H.;
On least-squares fitting of two-dimensional data with a
	 special structure;
\SJNA; 5; 1968; 252--257;

%Buchberger1965
% sauer 05mar08
\rhl{B}
\refD Buchberger, B.;
Ein Algorithmus zum Auffinden der Basiselemente des Rest\-klassen\-rings nach
   einem nulldimensionalen Polynomideal;
U. Innsbruck (Austria); 1965;

%Buchberger1970a
% sauer
\rhl{B}
\refJ Buchberger, B.;
An algorithmic criterion for the solvability of algebraic systems of
equations (German);
Aequationes Math.; 4(3); 1970; 374--484;

%Buchberger1985
% . 14may99
\rhl{B}
\refQ Buchberger, B.;
Gr\"obner bases: an algorithmic method in polynomial ideal theory;
(Multidimensional System Theory), N.~K.~Bose (ed.), Reidel (xxx);
1985; 184--232;

%BuchbergerMoller1982
% . 14may99 carlrefs
% see MollerBuchberger82

%Buck1968
% sonya
\rhl{B}
\refJ Buck,  R. C.;
Alternation theorems for functions of several variables;
\JAT; 1; 1968; 325--334;

%Buck1979
% author 20jun97
\rhl{B}
\refJ Buck, R. C.;
Approximate complexity and functional representation;
\JMAA; 70; 1979; 280--298;
% mrc tsr 1656, 1976

%Buck1982
% author 20jun97
\rhl{B}
\refJ Buck, R. C.;
Nomographic functions are nowhere dense;
\PAMS; 85; 1982; 195--199;
% mrc tsr 2279, 1982
% Hilbert's 13th

%Buckholtz2000
% . 02feb01
\rhl{}
\refJ Buckholtz, D.;
Hilbert space idempotents and involutions;
\PAMS; 128; 2000; 1415--1418;
% help with projectors in Hs

%Buckley1994
% . 16mar01
\rhl{}
\refJ Buckley, M.;
Fast computation of a discretized thin-plate smoothing spline for image
   data;
Biometrika; 81; 1994; 247--258;

%Buhmann1988b
% larry
\rhl{B}
\refJ Buhmann,  M. D.;
Convergence of univariate quasi-interpolation using multiquadrics;
\IMAJNA;  8; 1988; 365--383;

%Buhmann1989
% author 6aug96
\rhl{B}
\refP Buhmann,  M. D.;
Cardinal interpolation with radial basis functions: an integral 
   transform approach;
\MvatIV; 41--64;

%Buhmann1989c
% buhmann
\rhl{B}
\refD Buhmann,  M. D.;
Multivariable interpolation using radial basis functions;
Ph.D., Cambridge, England; 1989;

%Buhmann1990a
% greg
\rhl{B}
\refJ Buhmann,  M. D.;
Multivariate interpolation in odd-dimensional Euclidean spaces using 
multiquadrics;
\CA; 6; 1990; 21--34;

%Buhmann1990b
% greg
\rhl{B}
\refJ Buhmann,  M. D.;
Multivariate cardinal interpolation with radial-basis functions;
\CA; 6; 1990; 225--255;

%Buhmann1993a
% carl
\rhl{B}
\refJ Buhmann,  M. D.;
On quasi-interpolation with radial basis functions;
\JAT; 72(1); 1993; 103--130;

%Buhmann1993b
% author 6aug96
\rhl{B}
\refP Buhmann, M. D.;
New developments in the theory of radial basis function interpolation;
\ChileII;  35--75;

%Buhmann1994a
% author 6aug96
\rhl{B}
\refJ Buhmann, M. D.;
Discrete least squares approximation and pre-wavelets from
   radial function spaces;
 Mathematical Proceedings of the Cambridge Philosophical Society; 114; 1993;
533--558;  

%Buhmann1994b
% author
\rhl{B}
\refR Buhmann, M. D.;
Multiquadric wavelets on non-equally spaced centres;
ms; 1993;

%Buhmann1995a
% . 14sep95
\rhl{B}
\refR Buhmann, M. D.;
Neue und alte Thesen \"uber Wavelets;
Report 95-06, Seminar fuer Angewandte Mathematik, ETH Zuerich; 1995;
% intro

%Buhmann1995b
% author 6aug96
\rhl{B}
\refJ Buhmann, M. D.;
Multiquadric pre-wavelets on non-equally spaced knots in one dimension; 
\MC;  64; 1995; 1611--1625;

%Buhmann1996
% author 6aug96
\rhl{B}
\refQ Buhmann, M. D.;
Pre-wavelets on scattered knots and from radial function spaces: a review;
(Mathematics of  Surfaces VI), G. Mullineux (ed.),
 IMA Conference Proceedings Series,
Oxford University Press (Oxford); 1996; 309--324;

%Buhmann2003
% . 05mar08
\rhl{B}
\refB Buhmann, M. D.;
Radial basis functions: theory and implementation;
Cambridge monographs on applied and computational mathematics vol.12,
 University Press (England); 2003;

%BuhmannChui1993
% carl
\rhl{B}
\refJ Buhmann,  M. D., Chui, C. K.;
A note on the local stability of translates of radial basis functions;
\JAT; 74(1); 1993; 36--40;
% IBM Res.~Rep.\ RC 16878

%BuhmannDavydovGoodman2001
% LLS Lai-Schumaker book
\rhl{BuhDG01}
\refJ Buhmann, M. D., Davydov, O., Goodman, T. N. T.;
Prewavelets of small support;
\JAT; 112; 2001; 16--27;

%BuhmannDavydovGoodman2003
% journal 23jun03
\rhl{}
\refJ Buhmann, M. D., Davydov, O., Goodman, T. N. T.;
Cubic spline prewavelets onthe four-directional mesh;
\FCM; 3(2); 2003; 113--133;

%BuhmannDerrienLeMehaute1995a
% buhmann 6aug96 15jan99
\rhl{B}
\refP Buhmann, M. D., Derrien, F., LeM\'ehaut\'e, A. ;
Spectral properties and knot removal for interpolation by pure radial sums;
% Seminar f\"ur Angewandte Mathematik, ETH Z\"urich, No.\ 95-02: 1995
\Ulvik; 55--62;

%BuhmannDyn1991a
% larry
\rhl{B}
\refP Buhmann,  M. D., Dyn, N.;
Error estimates for multiquadric interpolation; 
\ChamonixI; 51--58;

%BuhmannDyn1993a
% buhmann 6aug96
\rhl{B}
\refJ Buhmann, M. D., Dyn, N.;
Spectral convergence of multiquadric interpolation;
\PEMS;  36; 1993; 319--333;

%BuhmannDynLevin1995a
% carl 14sep95 6aug96
\rhl{B}
\refJ Buhmann, M. D., Dyn, N., Levin, D.;
On quasi-interpolation by radial basis functions with scattered centers;
\CA; 11(2); 1995; 239--254;

%BuhmannLeMehaute1995b
% author  6aug96
\rhl{B}
\refJ Buhmann, M. D., LeM\'ehaut\'e, A.;
Knot removal with radial basis function interpolants;
\CRASP; 320 (I); 1995; 501--506;

%BuhmannMicchelli1989
% author
\rhl{B}
\refP Buhmann, M. D., Micchelli, C. A.;
Completely monotonic functions for cardinal interpolation;
\TexasVI; 109--112;

%BuhmannMicchelli1991a
\rhl{B}
\refJ Buhmann,  M. D., Micchelli, C. A.;
Multiply monotone functions for cardinal interpolation;
\AAM;  12; 1991; 358--386;

%BuhmannMicchelli1991b
% buhmann
\rhl{B}
\refR Buhmann,  M. D., Micchelli, C. A.;
On radial basis approximation on periodic grids; 
Report \#NA9, DAMTP, University of Cambridge; 1991;
% to appear in Math.proc.\ Cambr.Phil.Soc; 112; (1992)

%BuhmannMicchelli1992
% carl
\rhl{B}
\refJ Buhmann,  M., Micchelli, C. A.;
Spline prewavelets for non-uniform knots;
\NM; 61; 1992; 455--474;

%BuhmannMicchelli1992b
% buhmann, sherm
\rhl{B}
\refJ Buhmann,  M. D., Micchelli, C. A.;
On radial basis approximation on periodic grids;
% Report \#NA9, DAMTP, University of Cambridge: 1991:
Proc.\ Cam.\ Phil.\ Soc.; 112; 1992; 317--334;

%BuhmannMicchelli1992c
% author
\rhl{B}
\refJ Buhmann, M. D., Micchelli, C. A.;
Multiquadric interpolation improved;
\CMA; 24(12); 1992; 27--34;

%BuhmannMicchelli1994
% buhmann 6aug96
\rhl{B}
\refJ Buhmann,  M. D., Micchelli, C. A.;
Using two-slanted matrices for subdivision;
\PLMS;  69; 1994; 428--448;
% DAMTP report NA4, '92.

%BuhmannMicchelliRon1997
% . 29apr97 15jan99
\rhl{B}
\refP Buhmann, Martin D., Micchelli, Charles A., Ron, Amos;
Asymptotically optimal approximation and numerical solutions of differential
   equations;
\Powellfest; 59--82;

%BuhmannPowell1989
\rhl{B}
\refP Buhmann,  M. D., Powell, M. J. D.;
Radial basis functions on an infinite regular grid; 
\ShrivenhamII; 146--169;

%BuhmannRivlin1991
% author
\rhl{B}
\refJ Buhmann, M. D., Rivlin, T. J.;
A Gauss--Lucas type theorem on the location of roots of a polynomial;
\JAT; 67; 1991; 235--238;

%BuhmannRon1994
% larry
\rhl{B}
\refP Buhmann, M. D., Ron, A.;
Radial basis functions: $L^p$-approximation orders with scattered centres;
\ChamonixIIb; 93--112;

%BujalskaThomas1982
% larry
\rhl{B}
\refJ Bujalska,  A., Thomas, D. H.;
Quadratic X-splines;
IMA J.	Numer.\ Anal.;	 2; 1982; 37--47;

%BulirschRutishauser1968
% carl
\rhl{B}
\refQ Bulirsch,  R., Rutishauser, H.;
Spline-Interpolation;
(Mathematische Hilfsmittel des Ingenieurs, Teil III), S. Sauer \& I. Szab\'o
(eds.), Grundlehren vol.~141, Springer-Verlag (Heidelberg); 1968; 265--277;

%BulirschRutishauser1968b
% carl 20nov03
\rhl{B}
\refQ Bulirsch,  R., Rutishauser, H.;
Interpolation und gen\"aherte Quadratur;
(Mathematische Hilfsmittel des Ingenieurs, Teil III), S. Sauer \& I. Szab\'o
(eds.), Grundlehren vol.~141, Springer-Verlag (Heidelberg); 1968; 232--319;

%Bullen1971
% kopotun 23jun03
\rhl{}
\refJ Bullen, P. S.;
A criterion for n-convexity;
\PJM; 36; 1971; 81--98;
% k-monotone

%BultheelGonzalesHendriksenNjastad1992
\rhl{B}
\refJ Bultheel,  A., Gonzalez-Vera, P., Hendriksen, E., Njastad, O.;
 The computation of orthogonal rational functions and their interpolating
 properties;
\NA; 2; 1992; xxx--xxx;

%Buneman1972
\rhl{B}
\refR Buneman,  O.;
Sub-grid resolution of flow and force fields;
J. Comput.\ Phys.; 1972;

%Buneman1973
\rhl{B}
\refR Buneman,  O.;
On-line spline fitting;
Stanford University Institute for Plasma Research Rpt.\ 507 (Palo Alto CA);
1973;

%Burchard1968
\rhl{B}
\refD Burchard,  H.;
Interpolation and approximation by generalized convex functions;
Purdue Univ.; 1968;

%Burchard1973
% . shayne
\rhl{B}
\refJ Burchard, H. G.;
Extremal positive splines with applications to interpolation and
approximation by generalized convex functions;
\BAMS; 79(5); 1973; 959--963;

%Burchard1974a
% carl
\rhl{B}
\refJ Burchard,  H. G.;
Splines (with optimal knots) are better;
\ApA; 3; 1974; 309--319;

%Burchard1976
% larry
\rhl{B}
\refP Burchard,  H. G.;
Best uniform harmonic approximation;
\TexasII; 309--314;

%Burchard1977
\rhl{B}
\refJ Burchard,  H.;
On the degree of convergence of piecewise polynomial approximation
	on optimal meshes;
\TAMS;	234; 1977; 531--559;

%Burchard1994
% larry
\rhl{B}
\refP Burchard, H. G.;
Discrete curves and curvature constraints;
\ChamonixIIa; 67--74;

%BurchardHale1975
% sonya
\rhl{B}
\refJ Burchard,  H., Hale, D. F.;
Piecewise polynomial approximation on optimal meshes;
\JAT; 14; 1975; 128--147;

%BurchardHale1985
% larry
\rhl{B}
\refJ Burchard,  H., Hale, D. F.;
$N$-width and entropy of $H_p$ classes in $L_1(-1,1)$;
\SJMA; 16; 1985; 405--421;

%BurchardLei1995
% . 29apr97 carl 02feb01
\rhl{B}
\refJ Burchard, H. G., Lei, Junjiang;
Coordinate order of approximation by functional-based approximation
   operators;
\JAT; 82; 1995; 240--256;
% preprint 1993: Coordinate-wise approximation with quasi-interpolants

%Burgoyne1967a
% shayne 26oct95
\rhl{B}
\refJ Burgoyne, F. D.;
Practical $L^p$ polynomial approximation;
\MC; 21; 1967; 113--115;
% numerical computation of the zeros of the monic polynomial of fixed degree
% which has minimum L_p-norm, such polynomials are sometimes referred to as
% s-orthogonal polynomials (see also Vincenti86)

%BurkettVarma1999
\rhl{B}
\refR Burkett,  J., Varma, A. K.;
Lacunary interpolation by splines: $(0,1,2,4)$ case;
xxx; xxx;

%BurkowskiHoskins1971a
\rhl{B}
\refR Burkowski,  F. J., Hoskins, W. D.;
Rapid generation of periodic spline curves
	 and their application to computer graphics;
Scientific reports 29,	Winnipeg;  1971;

%BurkowskiHoskins1971b
\rhl{B}
\refR Burkowski,  F. J., Hoskins, W. D.;
Cubic spline solutions to a class of functional differential
equations;
Manitoba; 1971;

%BurkowskiHoskins1971c
\rhl{B}
\refQ Burkowski,  F. J., Hoskins, W. D.;
Piecewise continuous approximation of solutions of first order differential
equations with delay;
(xxx), xxx (ed.), xxx (xxx); 1971; 303--314;

%BurmeisterHessSchmidtJ1985
% author
\rhl{B}
\refJ Burmeister, W., He\ss, W., Schmidt, J. W.;
Convex spline interpolants with minimal curvature;
\C; 35; 1985; 219--229;
% shape preserving

%BurovaDemjanovich1991
% . 10nov97
\rhl{B}
\refJ Burova, I. G., Demjanovich, Yu. K.;
xxx;
Metody Vychisl.; 16; 1991; 128--144;
% RZhMat 1992:3
% minimal splines, A-splines

%BurtAdelson1983a
\rhl{B}
\refJ Burt,  P. J., Adelson, E. H.;
The Laplacian pyramid as a compact image code;
IEEE Trans.\ Comm.;  31; 1983; 532--540;

%BurtAdelson1983b
\rhl{B}
\refJ Burt,  P. J., Adelson, E. H.;
A multiresolution spline with application to image mosaics;
\ACMTG; 2; 1983; 217--236;

%Busch1985a
% shayne 14sep95
\rhl{B}
\refJ Busch, J. R.;
Osculatory interpolation in $\Rn{}^*$;
\SJNA; 22(1); 1985; 107--113;
% recommended by Gasca

%Busch1990a
% . 14may99
\rhl{B}
\refJ Busch, J. R.;
A note on Lagrange interpolation in $\RR^2$;
Rev.\ Union Matem.\ Argent.; 36; 1990; 33--38;

%Buslaev1995a
% shayne 05feb96
\rhl{B}
\refJ Buslaev, A. P.;
Some properties of the spectrum of nonlinear equations of Sturm-Liouville type;
Russian Acad.\ Sci.\ Sb.\ Math.; 80(1); 1995; 1--14;
% translation from the Russian
%
%  \def\RASSM{Russian Acad.\ Sci.\ Sb.\ Math.}  ???

%BuslaevTikhomirov1985
% shayne 19nov95
\rhl{B}
\refJ Buslaev, A. P., Tikhomirov, V. M.;
Some questions of nonlinear analysis and approximation theory;
\SMD; 32(1); 1985; 4--8;
% also see the later paper BuslaevTikhomirov90a

%BuslaevTikhomirov1990a
% author 5dec96
\rhl{B}
\refJ Buslaev,  A. P., Tikhomirov, V. M.;
Spectra of nonlinear differential equations and widths in Sobolev spaces;
\MS; 181(12); 1990; 1587--1606;

%BuslaevTikhomirov1992
% shayne 19nov95
\rhl{B}
\refJ Buslaev, A. P., Tikhomirov, V. M.;
Spectra of nonlinear differential equations and widths of Sobolev classes;
\MUSSRS; 71(2); 1992; 427--446;
% English translation of BuslaevTikhomirov90a

%BuslaevYashina1994a
% shayne 05feb96
\rhl{B}
\refJ Buslaev, A. P., Yashina, M. V.;
Numerical methods in problems of best approximation by splines and of nonlinear
   spectral analysis;
Comput.\ Math.\ Math.\ Phys.; 33(10); 1994; 1287--1297;
% translation from the Russian

%Butland1980a
% conflicts with 80b
\rhl{B}
\refQ Butland,  J.;
A method of interpolation of reasonably-shaped curves through any data;
(Proceedings on Computer Graphics 80), xxx (ed.),
Online Publications (Middlesex); 1980; 409--422;

%Butland1980b
% conflicts with 80a
\rhl{B}
\refQ Butland,  J.;
A method of interpolating reasonable-shaped curves through any data;
(Proceedings of Computer Graphics 80), xxx (ed.),
Online Publications (Middlesex); 1980; 238--246;

%ButlerRichards1972
\rhl{B}
\refJ Butler,  G. J., Richards, F. B.;
An $L_p$ saturation theorem for splines;
\CJM; 24; 1972; 957--966;

%ButtenfieldMcMaster1991
\rhl{B}
\refB Buttenfield,  B. P., (eds.), R. B. McMaster;
Map Generalization: 
Making Rules for Knowledge Representation; 
Longman Scientific and Technical (New York); 1991;

%Butterfield1976
% larry
\rhl{B}
\refJ Butterfield,  K. R.;
The computation of all the derivatives of a B-spline basis;
\JIMA;	 17; 1976; 15--25;

%ButtgenbachNesselWickeren1989a
% shayne 14sep95
\rhl{B}
\refJ B\"uttgenbach, J., Nessel, R. J., van Wickeren, E.;
Sharp estimates in terms of moduli of smoothness for compound cubature
   rules;
\NM; 56; 1989; 359--369;
% I once wrote down something about this

%Butzer1953
% . 03dec99
\rhl{B}
\refJ Butzer, P. L.;
Linear combinations of Bernstein polynomials;
\CJM; 5; 1953; 559--567;

%ButzerEngelsRiesStens1986
% larry
\rhl{B}
\refJ Butzer,  P. L., Engels, W., Ries, S., Stens, R. L.;
The Shannon sampling series and the reconstruction of signals in terms of
linear, quadratic, and cubic splines;
\SJAM; 46; 1986; 299--323;

%ButzerFischerStens1990
% larry
\rhl{B}
\refJ Butzer, P. L., Fischer, A., Stens, R. L.;
Generalized sampling approximation of multivariate signals:  Theory and some 
applications;
Note di Matematica; 10; 1990; 173--191;

%ButzerSchmidtStark1988
% larry
\rhl{B}
\refJ Butzer,  P. L., Schmidt, M., Stark, E. L.;
Observations on the history of central B-splines;
Arch.\ History Exact Sci.; 39; 1988; 137--156;

%ButzerStens1988
\rhl{B}
\refR Butzer,  P. L., Stens, R. L.;
Prediction of non-bandlimited signals from past samples in terms of splines
of low degree;
Aachen; 1988;

%ButzerStens1992
% carl
\rhl{B}
\refJ Butzer,  P. L., Stens, R. L.;
Sampling theory for not necessarily band-limited functions: A historical
overview;
\SR; 34; 1992; 40--53;

%BuzoKuhlmannRivera1986
\rhl{B}
\refJ Buzo,  A., Kuhlmann, F., Rivera, C.;
Rate-distortion bounds for quotient-based distortions with application to Itakura-Saito distortion measures;
IEEE Transactions on Information Theory; 32; 1986; 141--147;

%Bykat1978
% larry
% carl
\rhl{B}
\refJ Bykat,  A.;
Convex hull of a finite set of points in two dimensions;
\IPL; 7; 1978; 296--299;

%ByrneMillsSmith1990a
% shayne 14sep95
\rhl{B}
\refJ Byrne, G. J, Mills, T. M., Smith, S. J.;
On Lagrange interpolation with equidistant nodes;
Bull.\ Austral.\ Math.\ Soc.; 42; 1990; 81--89;
% a quantitative version of a classical result of Bernstein concerning the
% divergence of Lagrange interpolation based on interpolation at equidistant
% points

%ByrneMillsSmithSJ1995a
% carl 14sep95
\rhl{B}
\refJ Byrne, Graeme J., Mills, T. M., Smith, Simon J.;
The Lebesgue constant for higher order Hermite-Fej\'er interpolation on the
   Chebyshev nodes;
\JAT; 81(3); 1995; 347--367;