%Gaffney76
\rhl{G}
\refD Gaffney,  P. W.;
Optimal interpolation;
Oxford; 1976;

%Gaffney76b
\rhl{G}
\refJ Gaffney,  P. W.;
The calculation of indefinite integral of B-splines;
\JIMA; 17; 1976; 37--41;

%Gaffney77
\rhl{G}
\refR Gaffney,  P. W.;
The range of possible values of $f(x)$;
Comp.\  Sc.\ Div.\  Harwell; 1977;

%Gaffney77a
\rhl{G}
\refR Gaffney,  P. W.;
Fortran subroutines for computing the optimal
	 interpolation formula;
XX; 1977;

%Gaffney77b
\rhl{G}
\refR Gaffney,  P. W.;
To compute the optimal interpolation formula;
Comp.\  Sc.\  Div.\  Harwell; 1977;

%GaffneyPowell76
\rhl{G}
\refP Gaffney,  P. W., Powell, M. J. D.;
Optimal interpolation;
\DundeeV;  90--99;

%Gaier70
% larry
\rhl{G}
\refJ Gaier,  D.;
Saturation bei Spline-Approxiamtion und Quadratur;
\NM; 16; 1970; 129--140;

%Gaier87
% shayne 12mar97
\rhl{G}
\refB Gaier, D.;
Lectures on Complex Approximation;
Birkh\"auser (Boston); 1987;

%GalMicchelli80
% larry
\rhl{G}
\refJ Gal,  S., Micchelli, C. A.;
Optimal sequential and non-sequential procedures for evaluating a
functional;
Applic.\ Anal; 10; 1980;  105--120;

%Galerkin15
% carlrefs 03apr06
\rhl{}
\refJ Galerkin, B. G.;
Shafts and plates (Russian);
Vestnik Inzhenerov (Petrograd, Tipographia `Stroitel', Phontaka 66); 19; 1915;
1--35;
% source of `Galerkin's method' even though the paper gives full credit for
% it to S. P. Timoshenko; specific reference: `The stability of elastic systems
% (in Russian)', Kiev, 1910.

%GalimbertiPereyra70
% carl
\rhl{G}
\refJ Galimberti, G., Pereyra, V.;
Numerical differentiation and the solution of multidimensional Vandermonde
systems;
\MC; 24 (110); 1970; 357--364;

%GalimbertiPereyra71
% carl
\rhl{G}
\refJ Galimberti, G., Pereyra, V.;
Solving confluent Vandermonde systems of Hermite type;
\NM; 18; 1971; 44--60;

%Galkin70
% larry 5dec96
\rhl{G}
\refJ Galkin,  P. V.;
On solvability of the problem of periodic spline interpolation (Russian);
\MaZ; 8; 1970;  563--573;

%GallagherPiper99
\rhl{G}
\refR Gallagher,  T., Piper, B.;
Convexity preserving surface interpolation;
Rensselaer Polytechnic Institute, Troy, New York; xxx;

%Gallier00
% LLS Lai-Schumaker book
\rhl{G}
\refB Gallier, J.;
Curves and Surfaces in Geometric Modeling;
Morgan Kaufmann (San Francisco); 2000;
% points vs vectors; also good use of blossoming

%Galligani71
\rhl{G}
\refJ Galligani,  I.;
On the smoothing of experimental data;
Calcolo; 8; 1971;  359--376;

%Galligani93
% carl
\rhl{G}
\refJ Galligani,  E.;
$C^1$ surface interpolation with constraints;
\NA; 5; 1993; 549--555;

%Gamkrelidze91
% shayne 6aug96
\rhl{G}
\refB Gamkrelidze, R. W.;
Geometry I;
Springer--Verlag (Berlin); 1991;
% Gamkrelidze is the editor, it is not a proceedings

%Gandin65
\rhl{G}
\refB Gandin,  L. S.;
Objective Analysis of Meteorological Fields;
Translated from Russian by Israel Program for Scientific
Translations, [NTIS TT65-50007] (xxx); 1965;

%GaneshSloan99
% . 23jun03
\rhl{}
\refJ Ganesh, M., Sloan, I. H.;
Optimal order spline methods for nonlinear differential and
   integro-differential equations;
Appl.\ Numer.\ Math.; 29; 1999; 445--478;

%Gansca99
\rhl{G}
\refR Gansca,  I.;
Monosplines with given order of deficiency and optimal quadrature formulae;
Rev.\ Roumain; 19xx;

%Gansca99b
\rhl{G}
\refR Gansca,  I.;
Monosplines with given order of deficiency and optimal quadrature formulae,
II.;
Rev.\ Roumain; 19XX;

%GanscuaComanTambulea94
% larry
\rhl{G}
\refP  G\^ansc\u a, I., Coman, Gh.,  \c T\^ambulea, L.;
Generalizations of B\'ezier curves and surfaces;
\ChamonixIIa; 169--176;

%Gantmacher59
% carlrefs 08apr04
\rhl{}
\refB Gantmacher, F. R.;
The Theory of Matrices, Vol.~I, II;
Chelsea Publ.{} (New York NY); 1959;
% emended translation of the Russian original

%GantmacherKrein61
% shayne 12mar97
\rhl{G}
\refB Gantmacher, F. R., Krein, M. G.;
Oscillation matrices and kernels and small vibrations of mechanical systems;
United States Atomic Energy Commission (Washington); 1961;
% A translation of `Ostsillyatsionnye Matritsy i Yadra i Malye Kolebaniya
% Mekhanicheskikh Sistem', Moscow--Leningrad 1950
% A German translation also exists:
% Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen
% mechanischer Systeme:  Akademie-Verlag (Berlin): 1960:
% 3,242a Gantmacher, F. R.; Krein, M. G. Oscillation matrices and small
% oscillations of mechanical systems. (Russian)  
% Moscow-Leningrad, 1941. paging unknown. (Reviewer: J. D. Tamarkin) 36.0X

%Gao88
% shayne 23may95
\rhl{G}
\refJ Gao, Junbin;
Multivariate quasi-Newton interpolation;
J. Math.\ Res.\ Exposition (in Chinese);  8(3); 1988; 447--453;
% The third in a series of papers from China (the first two are by Lai and
% Wang) that deal with Kergin interpolation and its generalisations.
% This paper describes the interpolant and its error for the `scale of mean
% value interpolations'. Several complicated formulae involving `multivariate 
% divided differences' are given. For a description see: Integral error formulae
% for the scale of mean value interpolations which includes Kergin and Hakopian
% interpolation, by S. Waldron

%Gao91
\rhl{G}
\refR Gao,  J.;
On the dimension of the bivariate spline space $S_{3r}^r(\Delta^*)$;
Wuhan Univ., China; xxx;

%Gao91a
% LLS Lai-Schumaker book
\rhl{Gao91a} 
\refJ Gao, J.;
A remark on interpolation by bivariate splines;
\ATA; 7; 1991; 41--50;

%Gao91b
% LLS Lai-Schumaker book
\rhl{Gao91b} 
\refJ Gao,  J.;
Interpolation by $C\sp 1$ quartic bivariate splines;
J. Math.\ Res.\ Exposition; 11; 1991; 433--442;

%Gao92
\rhl{G}
\refR Gao,  J.;
Interpolation and approximation by bivariate splines of 
$S_3^1(\Delta_{mn}^{(1)})$;
Wuhan Univ., China; xxx;

%Gao92a
% carl
\rhl{G}
\refR Gao,  Junbin;
A remark on multivariate polynomial interpolations;
Research Report No.\ 7, Wuhan University; 1992;
% makes use of BoorRon90 to construct polynomial spaces good for giving
% shape functions for certain nonconforming elements.
% For Zienkiewizc' triangle, gets the least as well as a space involving also
% some quartic polynomials.\ No proofs or arguments as why these are good 
% choices.

%Gao92b
% larry Lai-Schumaker book
\rhl{Gao92}
\refJ Gao, J.;
A new finite element of $C\sp 1$ cubic splines;
\JCAM; 40; 1992; 305--312;

%Gao93
% carl
\rhl{G}
\refR Gao,  Junbin;
Interpolation methods for the construction of shape function space of
nonconforming finite elements;
preprint, Huazhong U. of Science and Technology (Wuhan, PRC); 1993;
% nonconforming, FEM, multivariate, polynomial interpolation

%Gao93b
% larry Lai-Schumaker book
\rhl{Gao93}
\refJ Gao, J.;
A $C^2$ finite element and interpolation;
\C; 50; 1993; 69--76;

%GaoNewmanPopov95a
% carl
\rhl{G}
\refJ Gao, Bo, Newman, Donald J., Popov, V. A.;
Convex approximation by rational functions;
\SJMA; 26(2); 1995; 488--499;
% approximation to the absolute value function and others

%GarciaEsnaolaPena97
% larry 10sep99
\rhl{GP}
\rhl{G}
\refP Garc\'ia-Esnaola, M., Pe\~na, J. M.;
Optimal convexity preserving bases;
\ChamonixIIIa; 119--126;

%GareyJohnsonPreparataTarjan78
% larry
\rhl{G}
\refJ Garey,  M. R., Johnson, D. S., Preparata, F. P., Tarjan, R. E;
Triangulating a simple polygon;
Inf.\ Proc.\ Letters; 7; 1978; 175--179;

%Gasca90
% carl
\rhl{G}
\refP Gasca,  M.;
Multivariate polynomial interpolation;
\Teneriffe; 215--236;

%GascaLebron87a
%  author
\rhl{G}
\refQ Gasca,  M., L\'ebron, E.;
On Aitken-Neville formulae for multivariate interpolation;
(Numerical Aspects of PDEs {(Madrid 1985)}), E. L. Ortiz (ed.), Math.Studies,
North-Holland (Amsterdam); 1987; 133--140;
% polynomial

%GascaLebron87b
% carl
\rhl{G}
\refJ Gasca,  M., L\'ebron, E.;
Elimination techniques and interpolation;
\JCAM; 19; 1987; 125--132;
% recurrence interpolation formula of GascaLopezCramona82 is looked at.

%GascaLebron87a
%shayne 14sep95
\rhl{G}
\refQ Gasca, M., L\'ebron, E.;
On Aitken-Neville formulae for multivariate interpolation;
(Numerical approximation of partial differential equations), E. L. Ortiz
(ed.),
Elsevier Science Publishers B. V. (North-Holland) (xxx); 1987; 133--140;
% a little bit more information for the splinebib 

%GascaLopez82
% sonya
\rhl{G}
\refJ Gasca,  M., Lopez-Carmona, A.;
A general recurrence interpolation formula
and its applications to multivariate interpolation;
\JAT; 34; 1982; 361--374;

%GascaLopezRamirez82
\rhl{G}
\refP Gasca,  M., Lopez-Carmona, A., Ramirez, V.;
A Generalized Sylves\-ter's identity on
determinants and its applications to
interpolation problems;
\MvatII; 171--184;

%GascaMaeztu82
% larry
\rhl{G}
\refJ Gasca,  M., Maeztu, J. I.;
On Lagrange and Hermite interpolation in $\RR^k$;
\NM; 39; 1982; 1--14;

%GascaMartinez87
% . 14may99
\rhl{G}
\refP Gasca, M., Mart\'inez, J. J.;
On the computation of multivariate confluent Vandermonde determinants and its applications;
\SurfacesII; 101--114;

%GascaMartinez90
% . 14may99
\rhl{G}
\refJ Gasca, M., Mart\'inez, J. J.;
On the solvability of bivariate {H}ermite--{B}irkhoff interpolation problems;
\JCAM; 32; 1990; 77--82;

%GascaMartinez92
% sherm
\rhl{G}
\refJ Gasca,  M., Martinez, J. J.;
Bivariate Hermite-Birkhoff interpolation and Vandermonde determinants;
\NA; 3; 1992; 193--199;

%GascaMicchelliPena92
% sherm 
\rhl{G}
\refJ Gasca,  M., Micchelli, C. A., Pe\~na, J. M.;
Almost strictly totally positive matrices;
\NA; 2; 1992; 225--236;

%GascaMicchelliPena94
% larry
\rhl{G}
\refP Gasca, M., Micchelli, Charles A., Pe\~na, J. M.;
Banded matrices with banded inverses III: p-slanted matrices;
\ChamonixIIb; 245--268;

%GascaMuhlbach88
% . 14may99
\rhl{G}
\refJ Gasca, M., M\"{u}hlbach, G.;
Multivariate interpolation: a survey with regard to extrapolation;
Proceedings IMACS Transactions on scientific computing;
 1; 1988; 255--278;

%GascaMuhlbach92
% sherm, update page numbers
\rhl{G}
\refJ Gasca,  M., M\"uhlbach, G.;
Multivariate polynomial interpolation under projectivities II: Neville-Aitken 
formulas;
\NA; 2; 1992; 255--277;

%GascaMuhlbach95a
% .
\rhl{G}
\refJ Gasca, Mariano, M\"uhlbach, G. M.;
Polynomial Interpolation under Projectivities III:
   Remainder Formulas;
\NA; 8(1); 1995; 103--109;

%GascaPena92
\rhl{G}
\refP Gasca,  M., Pe\~na, J. M.;
On the characterization of totally positive matrices;
\SinghII; 357--364;

%GascaPena94a
% larry
\rhl{G}
\refP Gasca, M., Pe\~na, J. M.;
Corner cutting algorithms and totally positive matrices;
\ChamonixIIa; 177--184;

%GascaPena94b
% .
\rhl{G}
\refJ Gasca, M., Pe{\~n}a, J. M.;
A matricial description of Neville elimination with applications to total 
positivity;
\LAA; 202; 1994; 33--54;

%GascaPena99
\rhl{G}
\refR Gasca,  M., Pe\~na, J. M.;
Total positivity and Neville elimination;
Univ.\ of Zaragoza, Spain; xxx;

%GascaRamirez84
% sonya
\rhl{G}
\refJ Gasca,  M., Ramirez, V.;
Interpolation systems in $\RR^k$;
\JAT; 42; 1984; 36--51;

%GascaSauer00
% . 14may99 21jan02
\rhl{G}
\refJ Gasca, M., Sauer, T.;
On bivariate {H}ermite interpolation with minimal degree polynomials;
\SJNA; 37; 2000; 772--798;
% submitted for publication: 1998:

%GascaSauer00b
% sauer
\rhl{G}
\refJ Gasca, M., Sauer, T.;
On the history of multivariate polynomial interpolation;
\JCAM; 122; 2000; 23--35;

%GascaSauer00c
% sauer
\rhl{G}
\refJ Gasca, M., Sauer, T.;
Polynomial interpolation in several variables;
\AiCM; 12; 2000; 377--410;

%GasparoMorandi91
% .
\rhl{G}
\refJ Gasparo,  M. G., Morandi, R.;
Piecewise cubic monotone interpolation with assigned slopes;
\C; 46; 1991; 355--365;

%Gasquet75
\rhl{G}
\refR Gasquet,  C.;
Sur la stabilite de problemes lineaires;
Grenoble; 1975;

%Gasser74
\rhl{G}
\refQ Gasser,  T.;
Spline smoothing of spectra;
(Proc.\  Comp.\  Stat.\  Wien),
xxx (ed.), xxx (xxx); 1974; 323--332;

%Gatermann88a
% shayne 26oct95
\rhl{G}
\refJ Gatermann, K.;
The construction of symmetric cubature formulas for the square and the
   triangle;
\C; 40; 1988; 229--240;
% you lent me this paper and I am returning it to you

%Gatermann92a
% shayne 26oct95
\rhl{G}
\refQ Gatermann, K.;
Linear representations of finite group and the ideal theoretical construction
   of $G$-invariant cubature formulas;
(Numerical Integration),
T. O. Espelid and A. Genz (eds.),
NATO ASI Ser.\ C, Vol.\ 357, Kluwer (Dordrecht); 1992;
25--35;
% uses ideal theory and group representations to construct cubature formulae

%Gautschi72a
% carl 22may98
\rhl{G}
\refJ Gautschi, W.;
Attenuation factors in practical Fourier analysis;
\NM; 18; 1972; 373--400;

%Gautschi72b
% carl 22may98
\rhl{G}
\refJ Gautschi, W.;
The condition of orthogonal polynomials;
\MC; 26; 1972; 923--924;

%Gautschi79
% MR 26aug98
\rhl{G}
\refJ Gautschi, Walter;
The condition of polynomials in power form;
\MC; 33(145); 1979; 343--352;

%Gautschi81a
% shayne 26oct95
\rhl{G}
\refQ Gautschi, W.;
A survey of Gauss--Christoffel quadrature formul{\ae};
(E. B. Christoffel),  P. L. Butzer \and F. Feh\'er (eds.), 
Birkh\"auser (Basel);  1981; 72--147;
% a survey article on article on Gauss-Christoffel quadrature formulae

%Gautschi91
% .
\rhl{G}
\refQ Gautschi,  Walter;
Spline approximation and quadrature formulae;
(Trends in functional analysis and approximation theory), 
Acquafredda di Maratea, 1989), xxx (ed.), 
Univ.\ Modena (Modena); 1991; 47--60;
% MR:92i:65030
% MOS: 65D07: 41A55: 65D32
% moment method, Gauss quadrature

%Gavrea96
% shayne 21jan02
\rhl{}
\refJ Gavrea, I.;
The approximation of the continuous functions by means of some linear
   positive operators;
\RM; 30; 1996; 55--66;

%Gavrilovic75
% larry
\rhl{G}
\refJ Gavrilovic,  M. M.;
Optimal approximation of convex curves by
	 functions which are piecewise linear;
\JMAA; 52; 1975; 260--282;

%Gearhart73
% sonya
\rhl{G}
\refJ Gearhart,  W. B.;
Some Chebyshev approximations by polynomials in two variables;
\JAT; 8; 1973; 195--209;

%GeddesMason75
% . 20jun97
\rhl{G}
\refJ Geddes, K. O., Mason, J. C.;
Polynomial approximation by projections on the unit circle;
\SJNA; 12; 1975; 111--120;
% the truncated Taylor series is a projector of minimal norm onto polynomials
% from the space of functions analytic in an annulus (with the max norm).
% Brutman extended this to the truncated Laurent expansion.

%Geise62a
\rhl{G}
\refJ Geise, G.;
\"Uber ber\"uhrende Kegelschnitte einer ebenen Kurve;
\ZAMM; 42; 1962; 297--304;

%GeiseJuttler93
% author 10nov97
\rhl{G}
\refJ Geise, G., J\"uttler, B.;
A geometrical approach to curvature continuous joints of rational curves;
% author
\CAGD; 10; 1993; 109--122;

%GeiseLangbecker90a
% greg
\rhl{G}
\refJ Geise,  G., Langbecker, U.;
Finite quadric segments with four conic boundary curves;
\CAGD; 7; 1990; 141--150;

%Gelfond58
% . 05mar08
\rhl{G}
\refB Gelfond, A. O.;
Differenzenrechnung;
VEB (Berlin); 1958;
% also: Calculus of Finite Differences, Hindustan (Delhi, India), 1971

%Genocchi69a
% .
\rhl{G}
\refJ Genocchi, A.;
Relation entre la diff\'erence et la d\'eriv\'ee d'un m\^eme ordre quelconque;
Archiv Math.\ Phys.\ (I); 49; 1869; 342--345;
% first paper with the integral formula for the divided difference, in
% the form of  \int_0^1 ... \int_0^1 (and corresponding weights).

%Genocchi78a
% carlrefs
\rhl{G}
\refJ Genocchi, A.;
Intorno alle funzioni interpolari;
Atti della Reale Accademia delle Scienze di Torino; 13; 1878; 716--729;
% the Genocchi-Hermite formula for the divided difference in various forms
% including the now standard one.
% `funzioni interpolari' are Ampere's `fonctions interpolaires'

%Genocchi78b
% . 14sep95
\rhl{G}
\refJ Genocchi, A.;
Sur la formule sommatoire de Maclaurin et les fonctions interpolaires;
\CRASP; 86; 1878; 466--469;
% a letter to Hermite, pointing out that Genocchi had, in a paper in 
% [Archives de Grunert, t. XLIX, 3. cahier], obtained an expression for
% the error in polynomial interpolation, and that he also had the HG-formula.

%Gensane97
% larry 10sep99
\rhl{G}
\rhl{G}
\refP Gensane, Th.;
Rational interpolation on the unit circle;
\ChamonixIIIa; 127--134;

%GenzMalik83a
% shayne 26oct95
\rhl{G}
\refJ Genz, A. C., Malik, A. A.;
An embedded family of fully symmetric numerical integration rules;
\SJNA; 20 (5); 1983; 580--588;
% use of symmetry to construct cubature rules

%GeramitaSchenck98
% Henry Schenck 03dec99
\rhl{G}
\refJ Geramita, A., Schenck, H.;
Fat points, inverse systems, and piecewise polynomial functions;
J. Algebra; 204; 1998; 116--128;

%Gerasoulis86
% (carl)
\rhl{G}
\refJ Gerasoulis,  A.;
Piecewise-polynomial quadratures for Cauchy singular integrals;
\SJNA; 23; 1986; 891--902;

%GeronimoHardin90
\rhl{G}
\refR Geronimo,  J. S., Hardin, D.;
Fractal interpolation surfaces and a related 2-D multiresolution analysis;
Georgia Institute of Technology, Preprint Math:111690-073; 1990;

%GeronimoHardinMassopust94
% Tom Hogan 19nov95
\rhl{G}
\refJ Geronimo, J. S., Hardin, D. P., Massopust, P. R.;
Fractal functions and wavelet expansions based on several scaling functions;
\JAT; 78(3); 1994; 373--401;

%GerotAttaliMontanvert00
% larry 20apr00
\rhl{}
\refP G\'erot, C\'edric, Attali, Dominique, Montanvert, Annick;
From Local Approximation to a $G^1$ Global Representation;
\Stmalod; 109--118;

%GerussiBonneau00
% larry 20apr00
\rhl{}
\refP Gerussi, Alexandre, Bonneau, Georges--Pierre;
Analysis of scalar datasets on multi-resolution geometric models;
\Stmalof; 209--218;

%GevorgianHakopianSaakian95a
% carl 05feb96
\rhl{G}
\refJ Gevorgian, H. V., Hakopian,  H. A.,  Sahakian, A. A.;
Multivariate Hermite interpolation;
\EJA; 1(3); 1995; 357--371;

%GevorgianHakopianSahakian90a
% carl 03apr06
\rhl{G}
\refJ Gevorgian, H. V., Hakopian,  H. A.,  Sahakian, A. A.;
On bivariate Hermite interpolation (Russian);
\MaZ; 48; 1990; 137--139;

%GevorgianHakopianSahakian92a
% carl 5dec96 03apr06
\rhl{G}
\refJ Gevorgian, H. V., Hakopian,  H. A.,  Sahakian, A. A.;
On bivariate polynomial interpolation (Russian);
\MS; 183; 1992; 111--126;

%GevorgianHakopianSahakian92b
% author 03apr06
\rhl{G}
\refJ Gevorgian, H. V., Hakopian,  H. A.,  Sahakian, A. A.;
On the bivariate Hermite interpolation problem;
\CA; 183; 1992; 111--126;
% engl.transl: Russian Acad.\ Sci.\ Sb.\ Math.: 76: 1993: 211--223:

%GevorgianHakopianSahakian95a
% carl 05feb96 03apr06
\rhl{G}
\refJ Gevorgian, H. V., Hakopian,  H. A.,  Sahakian, A. A.;
Multivariate Hermite interpolation;
\EJA; 1(3); 1995; 357--371;
% If $\delta_z \Pi_{n_z}(D)$ is to be matched at $z\in Z$ in $\RR^d$ from
% $\Pi_n$, what conditions must the sequence $(n_z:z\in Z)$ satisfy for this
% to be correct for a.e. $Z$?

%GevorgianHakopianSahakian95b
% carl 03apr06
\rhl{G}
\refJ Gevorgian, H. V., Hakopian,  H. A.,  Sahakian, A. A.;
On the bivariate Hermite interpolation problem;
\CA; 11(1); 1995; 23--36;
% MR 96a:41001 has --35

%Ghizzetti83
\rhl{G}
\refJ Ghizzetti,  A.;
Interpolazione con splines verificanti una opportuna condizione;
Calcolo; 20; 1983; 53--65;

%GhizzettiOssicini70a
% shayne 26oct95
\rhl{G}
\refB Ghizzetti, A., Ossicini, A.;
Quadrature formulae;
Birkh\"auser (Basel); 1970;
% ISNM Springer-Verlag vol 13 (): 1970:
% book on quadrature formulae, Has information about s-orthogonal polynomials
% and the corresponding Gauss rules.

%GhorbelBurdin94
% larry
\rhl{G}
\refP Ghorbel, F., Burdin, V.;
Invariant approximation of star-shaped form for medical applications;
\ChamonixIIb; 269--276;

%Giles67
% larry
\rhl{G}
\refJ Giles,  J. R.;
Classes of semi-inner-product spaces;
\TAMS; 129; 1967; 436--446;

%Girard88
\rhl{G}
\refR Girard,  D.;
D\'etection de discontinuit\'es dans un signal (ou une image) par
Inf-Convolution Spline et Validation Crois\'ee;
Grenoble; 1988;

%Girard89
\rhl{G}
\refR Girard,  D. A.;
Asymptotic optimality of the fast randomized versions of GCV and $C_L$ in 
ridge regression and regularization;
Techniques de l'Informatique, des Math\'ematiques, de la Micro\'electronique
et de la Microscopie quantitative (unit\'e de recherche 
INPG - UJF - associ\'ee au CNRS) RR 793 M; 1989; 

%Girard89a
% carl
\rhl{G}
\refJ Girard,  Didier A.;
A fast `Monte-Carlo cross-validation' procedure for
large least squares problems with noisy data;
\NM; 56; 1989; 1--23;

%GirardChalmondDinten97
% larry 10sep99
\rhl{GCD}
\rhl{G}
\refP Girard, S., Chalmond, B.,  Dinten, J. M.;
Designing nonlinear models for flexible curves;
\ChamonixIIIa; 135--142;

%GirardLaurent89a
% larry
\rhl{G}
\refP Girard,  D., Laurent, P. J.;
Splines and estimation of nonlinear parameters;
\Oslo; 273--298;

%Girgensohn93a
% .
\rhl{G}
\refJ Girgensohn,  XXX.;
XXX;
Aequat.\ Math.; 46; 1993; 243--256;
% deals with solutions to functional equation 
% \phi((x+\nu)/b) = a_\nu\phi(x)+g_\nu(x), \nu=0,\ldots,b-1, which includes
% weierstrass' function and leads to quick proof of the latter's singularity.

%Girosi82
% .
\rhl{G}
\refJ Girosi, F.;
On some extensions of radial basis functions and their applications in
artificial intelligence;
\CMA; 24; 1992; 61--80;

%Girsanov72
% . 14may99
\rhl{G}
\refB Girsanov, I. V.;
Lectures on mathematical theory of extremal problems;
Springer Verlag (New York); 1972;

%Gislason72
% larry
\rhl{G}
\refR Gislason,  G. A.;
Constructive methods for obtaining non-linear interpolatory Tchebycheff
approximations;
Alaska; 1972;

%GislasonLoeb72
% sonya
\rhl{G}
\refJ Gislason,  G. A., Loeb, H. L.;
Nonlinear Tchebycheff approximation with constraints;
\JAT; 6; 1972; 291--300;

%GjoystdalReinhardsenAstebol85a
\rhl{G}
\refJ Gj{\o}ystdal,  H., Reinhardsen, J. E., Asteb{\o}l, K.;
Computer
representation of complex 3-D geological structures
using a new ``solid modeling'' technique;
Geophysical Prospecting; 33;
1985; 1195--1211;

%Glaerum94
% larry
\rhl{G}
\refP Gl\ae rum, S.;
Piecewise polynomial approximation of spheres;
\ChamonixIIa; 185--192;

%Glaeser67a
% . 19may96
\rhl{G}
\refR Glaeser,  G.;
Prolongement extremal de fonctions differentiable;
Publ.\ Sec.\ Math.\ Facult\'e des Sciences Rennes (Rennes, France); 1967;

%Glaeser71a
% . 5dec96
\rhl{G}
\refQ Glaeser, G.;
L'interpolation des fonctions diff\'erentiables de plusieur variables;
(Proc.\ Liverpool Singularities Symposium. II), xxx (ed.), Springer Lecture
Notes in Mathematics 209, Springer (Berlin); 1971; 1--29; 

%Glaeser73a
% . 19may96
\rhl{G}
\refJ Glaeser,  G.;
Prolongement extremal de fonctions differentiable d'une variable;
\JAT; 8; 1973; 249--261;

%Glass65
\rhl{G}
\refD Glass,  J. M.;
A criterion for the quantization of line-drawing data;
New York Univ.;	1965;

%Glass66
% larry
\rhl{G}
\refJ Glass,  J. M.;
Smooth-curve interpolations: A generalized spline-fit procedure;
BIT; 6; 1966;  277--293;

%Gleue81
\rhl{G}
\refR Gleue,  J.;
Triangulierung und Interpolation von im $\RR^2$
unregelm\"assig verteilten Daten;
Rpt.\ 357, Hahn-Meitner Inst.\ Berlin; 1981;

%Gluss62
% larry
\rhl{G}
\refJ Gluss,  B.;
Further remarks on line segment curve fitting
	 using dynamic programming;
\CACM; ; 1962; 441--443;

%Gmelig85
\rhl{G}
\refR Gmelig-Meyling,  R. H. J.;
An algorithm for constructing configurations of knots for bivariate
B-splines;
Amsterdam; 1985;

%Gmelig86
\rhl{G}
\refR Gmelig-Meyling,  R. H. J.;
Polynomial spline approximation in two variables;
XXX; 1986;

%Gmelig87
% larry
\rhl{G}
\refJ Gmelig-Meyling,  R. H. J.;
Approximation by cubic $C^1$ splines on arbitrary triangulations;
\NM; 51; 1987; 65--85;

%Gmelig88
\rhl{G}
\refR Gmelig-Meyling,  R. H. J.;
Monotonicity-preserving quadratic $C^1$ spline interpolation to scattered
data;
Twente; 1988;

%Gmelig88a
\rhl{G}
\refR Gmelig-Meyling,  R. H. J.;
Numerical solution of the biharmonic equation using different types of
bivariate spline functions;
Twente; 1988;

%Gmelig88c
\rhl{G}
\refR Gmelig-Meyling,  R. H. J.;
Smooth piecewise polynomials as conforming finite elements for plate
bending problems;
Twente; 1988;

%Gmelig88d
\rhl{G}
\refP Gmelig-Meyling,  R. H. J. G.;
On interpolation by bivariate quintic splines of class $C^2$;
\VarnaV; 152--161;

%Gmelig89
\rhl{G}
\refQ Gmelig-Meyling,  R. H. J.;
Numerical solution of the biharmonic equation using different types of
bivariate spline functions;
(CMaW), xxx (ed.), xxx (xxx); 1989; xxx--xxx;

%GmeligPfluger84
\rhl{G}
\refR Gmelig-Meyling,  R. H. J., Pfluger, P.;
B-spline approximation of a closed surface;
XXX; 1984;

%GmeligPfluger85
\rhl{G}
\refP Gmelig-Meyling,  R. H. J., Pfluger, P. R.;
On the dimension of the spline space $S_2^1(\Delta)$ in special cases;
\MvatIII; 1985; 180--190;

%GmeligPfluger88a
\rhl{G}
\refJ Gmelig-Meyling,  R. H. J., Pfluger, P. R.;
On the dimension of the space of
quadratic $C^1$  splines in two variables;
Approx.\ Th.\ and Its Appl.;  4; 1988; 37--54;

%GmeligPfluger90
% greg, carl
\rhl{G}
\refJ Gmelig-Meyling,  R. H. J., Pfluger, P.;
Smooth interpolation to scattered data by bivariate piecewise polynomials
   of odd degree;
\CAGD; 7; 1990; 439--458;

%Godwin79
% carl
\rhl{G}
\refJ Godwin, A. N.;
Family of cubic splines with one degree of freedom;
\CAD; 11(1); 1979; 13--18;

%Godwin79b
\rhl{G}
\refJ Godwin,  A. N.;
Spline curves with length constraints;
\JIMA; 24; 1979;  219--229;

%Goel68
% carl
\rhl{G}
\refJ Go{\"e}l, J.-J.;
Construction of basic functions for
   numerical utilization of Ritz's method;
\NM; 12; 1968; 435--447;
% MR 41-1236

%GoetgheluckPlesniak92
% carl
\rhl{G}
\refJ Goetgheluck,  P., Ple\'sniak, W.;
Counter-examples to Markov and Bernstein inequalities;
\JAT; 69; 1992; 318--325;

%GohLeeShenTang9x
% shen 07may96
\rhl{G}
\refR Goh, Say Song, Lee, S. L., Shen, Zuowei, Tang, W. S.;
Construction of Schauder decomposition on Banach spaces
   of periodic functions; 
ms; 1995;
% submitted

%GohSSLeeSLTangWS99
% MR1688768 (2000j:42050) 06jun04
\rhl{}
\refQ  Goh, Say Song, Lee, S. L., Tang, W. S.;
From cardinal Hermite splines to multiwavelets;
(Advances in wavelets {(Hong Kong, 1997)}), xxx (eds.),
Springer (Singapore); 1999; 163--185;

%GohSSMicchelli02
% journal 23jun03
\rhl{}
\refJ Goh, Say Song, Micchelli, Charles A.;
Uncertainty principles in Hilbert spaces;
\JFAA; 8(4); 2002; 335--374;

%GoldC77
\rhl{G}
\refQ Gold,  C. M.;
Automated contour mapping using triangular element data structures and
an interpolant over each irregular triangular domain;
(Siggraph.\ Proc.), xxx (ed.), xxx (xxx); 1977; 170--175;

%GoldCChartersRamsden77
\rhl{G}
\refJ Gold,  C. M., Charters, T. D., Ramsden, J.;
Automated contour mapping using triangular
element data structures and an interpolant
over each irregular triangular domain;
Computer Graphics; 11; 1977; 170--175;

%GoldS70
\rhl{G}
\refD Gold,  S. C.;
Data smoothing using least-squares spline functions;
U. Utah; 1970;

%Goldapp91
% .
\rhl{G}
\refJ Goldapp, Michael;
Approximation of circular arcs by cubic polynomials;
\CAGD; 8; 1991; 227--238;

%Goldman03
% carlrefs 06jun04
\rhl{}
\refB Goldman, Ron;
Pyramid Algorithms (A Dynamic Programming Approach to Curves and Surfaces for
   Geometric Modeling);
Morgan, Kaufman (New York); 2003;

%Goldman82
% larry, carl
\rhl{G}
\refJ Goldman, Ronald N.;
Using degenerate B\'ezier triangles and tetrahedra
to subdivide B\'ezier curves;
\CAD; 14(6); 1982; 307--311;
% subdivision algorithms, degenerate B\'ezier tetrahedra.

%Goldman83b
% larry, carl
\rhl{G}
\refJ Goldman, Ronald N.;
Subdivision algorithms for B\'ezier triangles;
\CAD; 15(3); 1983; 159--166;
% arrays.

%Goldman83c
% larry, carl
\rhl{G}
\refJ Goldman, Ronald N.;
Quadrics of revolution;
\ICGA; 3(2); 1983; 68--76;

%Goldman83c
% larry, carl
\rhl{G}
\refJ Goldman, Ronald N.;
Two approaches to a computer model for quadric surfaces;
\ICGA; 3(6); 1983; 21--24;

%Goldman83d
% larry
\rhl{G}
\refJ Goldman,  R. N.;
Quadrics of revolution;
\ICGA; 3(2); 1983; 68--76;

%Goldman84
\rhl{G}
\refJ Goldman,  R. N.;
Markov chains and computer aided geometric design: I. Problems and
constraints;
\TOG; 3; 1984; 204--222;

%Goldman85a
% larry
\rhl{G}
\refJ Goldman,  R. N.;
Polya's urn model and computer aided geometric design;
\SJADM; 6; 1985; 1--28;

%Goldman87
% larry Lai-Schumaker book
\rhl{Gol87}
\refJ Goldman, R. N.;
Conversion from B\'ezier rectangles to B\'ezier triangles;
\CAD; 19; 1987; 25--27;

%Goldman88a
% carl 21jan02
\rhl{G}
\refJ Goldman,  R. N.;
Urn models, approximations, and splines;
\JAT; 54(1); 1988; 1--66;

%Goldman90
% carl
\rhl{G}
\refP Goldman,  R. N.;
Recursive triangles;
\Teneriffe; 27--72;

%Goldman90b
% greg
\rhl{G}
\refJ Goldman,  R. N.;
Blossoming and knot insertion algorithms for B-spline curves;
\CAGD; 7(1-4); 1990; 69--81;

%Goldman94
% carl
\rhl{G}
\refJ Goldman, Ronald N.;
Dual polynomal bases;
\JAT; 79(3); 1994; 311--346;

%Goldman95
% . 24mar99
\rhl{G}
\refP Goldman, Ronald N.;
Identities for the {B}--spline basis functions;
\GraphicsgemsV; 163--167;
% section IV.2

%Goldman98a
% author 02feb01
\rhl{}
\refR Goldman, R. N.;
Rational B-splines and multirational blossoms;
ms; 1998;

%Goldman98b
% author 02feb01
\rhl{}
\refR Goldman, R. N.;
Differentiation and integration identities for B-splines of negative degree;
ms; 1998;

%Goldman99
\rhl{G}
\refR Goldman,  R. N.;
Vector elimination;
XX; 19XX;

%Goldman99b
% author 02feb01
\rhl{}
\refJ Goldman, R. N.;
The rational Bernstein bases and the multirational blossoms;
\CAGD; 16; 1999; 701--738;

%GoldmanBarry92
% author
\rhl{G}
\refP Goldman, R. N., Barry, P. J.;
Wonderful triangle: a simple, unified, algorithmic approach to change of basis
procedures in computer aided geometric design;
\Biri; 297--320;

%GoldmanBarsky89a
% goldman
\rhl{G}
\refQ Goldman,  R. N., Barsky, B. A.;
$\beta$-continuity and its application to rational Beta-splines;
(Proc.\ 4th Computer Graphics Conference), xxx (ed.), xxx (Smolenice,
Czechoslovakia); 1989; 5--11;
% TR UCB/CSD 88/442, Berkeley, August 1988

%GoldmanBarsky89b
\rhl{G}
\refP Goldman,  R. N., Barsky, B.;
On $\beta$-continuous functions and their application to the
construction of geometrically continuousu curves and surfaces;
\Biri; 299--311;

%GoldmanWalz00
% carl 02feb01
\rhl{}
\refJ Goldman, Ron, Walz, Guido;
Spline functions of negative degree;
Calcolo; 37; 2000; 125--137;
% see Goldman98a,b, Goldman99a for definition of B-spline of negative degree:
% $v_1\le v_2\le\cdots < u_1\le u_2\le\cdots$, $N_{k,0}:=\delta_{k0}$,
% $$N_{k,-n} := \cases{
%   \omega_{k,n}N_{k-1,-n-1} + (1-omega_{k+1,n})N_{k,-n-1}$,&$k\ge0$\cr
%    0,& otherwise.\cr}$$
% with $\omega_{k,n}:= {\cdot - v_{k+n}\over u_k-v_{k+n}}$.
% contour integral formula, truncated powers, Marsden's identity, ...

%GoldsteinHaussmannJetter84
\rhl{G}
\refJ Goldstein,  M., Haussmann, W., Jetter, K.;
Best harmonic $L^1$ approximation to subharmonic functions;
\JLMS; 30; 1984; 257--264;

%Golitschek72
% larry
\rhl{G}
\refJ Golitschek,  M. von;
On the convergence of interpolating periodic spline
	 functions of high degree;
\NM; 19; 1972; 146--154;

%Golitschek79
% larry
\rhl{G}
\refJ Golitschek, Manfred v.;
On $n$-widths and interpolation by polynomials splines;
\JAT; 26; 1979; 132--141;

%Golitschek80
\rhl{G}
\refP Golitschek,  M. von;
Approximating bivariate functions and matrices by nomographic functions;
\BonnII; 143--151;

%Golitschek80b
\rhl{G}
\refP Golitschek,  M. von;
Approximation of functions of two variables by the sum of two functions
of one variable;
\NmatV; 1980; 117--124;

%Golitschek82
% carl
\rhl{G}
\refJ Golitschek,  M. von;
Optimal cycles in doubly weighted graphs and approximation of bivariate
functions by univariate ones;
\NM; 39; 1982; 65--84;

%Golitschek83
% larry
\rhl{G}
\refP Golitschek,  M. von;
On the existence of continuous best approximations in tensor-product
subspaces of univariate functions;
\TexasIV; 475--481;

%GolitschekCheney79
\rhl{G}
\refJ Golitschek,  M. von, Cheney, E. W.;
On the algorithm of Diliberto and Straus for approximating bivariate
functions by univariate ones;
\NFAO; xx; 1979; 341--363;

%GolitschekCheney83
\rhl{G}
\refJ Golitschek,  M. von, Cheney, E. W.;
The best approximation of bivariate functions by separable functions;
Contempary Math.; 21; 1983; 125--136;

%GolitschekCheney83a
% sonya
\rhl{G}
\refJ Golitschek,  M. von, Cheney, E. W.;
Failure of the alternating algorithm for best approximation of multivariate
functions;
\JAT; 38; 1983; 139--143;

%GolitschekLaiMJSchumaker02
% larry 21jan02 23jun03
\rhl{GLS02}
\refJ Golitschek, M. von, Lai,  M.-J., Schumaker, L. L.;
Error bounds for minimal energy bivariate polynomial splines;
\NM; 93; 2002; 315--331;

%GolitschekLight01
% . 16mar01
\rhl{}
\refJ Golitschek, M. von, Light, W. A.;
Interpolation by polynomials and radial basis functions on spheres;
\CA; 2001; 17; 1--18;

%GolitschekLorentzGMakovoz9x
\rhl{G}
\refR Golitschek,  M. von, Lorentz, G. G., Makovoz, Y.;
Asymptotics of weighted polynomials;
preprint; 1992;

%GolitschekSchardtWiegand86
% larry
\rhl{G}
\refP Golitschek,  M. von, Schardt, P., Wiegand, M.;
Mathematische Auswertung ergospirometrischer Messungen;
\NmatVIII; 95--102;

%GolitschekSchumaker00
\rhl{}
% larry
\refR Golitschek, M. von, Schumaker, L. L.;
Bounds on projections onto bivariate polynomial
  spline spaces with stable bases;
\CA; submitted;

%GolitschekSchumaker01b
% larry 21jan02
\rhl{GS01b}
\refR Golitschek, Manfred von, Schumaker, Larry L.;
Bounds on projections onto bivariate polynomial
   spline spaces with stable bases;
\CA; to appear;

%GolitschekSchumaker90
% larry
\rhl{G}
\refP Golitschek,  M. von, Schumaker, L. L.;
Data fitting by penalized least squares;
\ShrivenhamII; 210--227;

%Golomb62
% carl 22may98
\rhl{G}
\refB Golomb, M.;
Lectures on Theory of Approximation;
Applied Math.\ Division, Argonne National Laboratory  (Argonne IL); 1962;

%Golomb65a
% larry
\rhl{G}
\refP Golomb,  M.;
Optimal and nearly optimal linear approximations;
\Generalmotors; 83--100;

%Golomb65b
% larry
\rhl{G}
\refJ Golomb,  M.;
Optimal approximating manifolds in $L_2$ spaces;
\JMAA; 12; 1965; 505--512;

%Golomb67
\rhl{G}
\refR Golomb,  M.;
On $H^m$ extension of functions and spline interpolation II.
Representations of the extremal $H^m$ extensions;
MRC 807; 1967;

%Golomb67b
\rhl{G}
\refR Golomb,  M.;
Splines, $n$-widths and optimal approximations;
MRC 784; 1967;
% does standard n-width except that an optimal n-dimensional flat is being
% looked for, making it sensible to look for an optimal 0-flat. However, the
% optimal n-flat is just the optimal n-space for that set shifted by its
% optimal 0-flat. In a Hilbert space, the shift is by a spline. Does abstract
% spline theory, with a reference to Atteia65.

%Golomb68
% sonya
\rhl{G}
\refJ Golomb,  M.;
Approximation by periodic spline interpolants on
	 uniform meshes;
\JAT; 1; 1968; 26--65;

%Golomb69
\rhl{G}
\refP Golomb,  M.;
Spline interpolation near discontinuities;
\MadisonII; 51--74;

%Golomb70b
\rhl{G}
\refR Golomb,  M.;
Rates of convergence of $L$-splines which interpolate $H_L$ functions;
MRC 1048; 1970;

%Golomb70c
\rhl{G}
\refR Golomb,  M.;
Spline approximations to the solutions of two-point boundary-value
problems;
MRC 1066; 1970;

%Golomb70d
\rhl{G}
\refR Golomb,  M.;
Some extremal problems for differentiable periodic functions in
$L_\infty(\RR)$;
MRC 1069; 1970;

%Golomb72a
% . 19may96
\rhl{G}
\refJ Golomb, M.;
$H^{m,p}$-extensions by $H^{m,p}$-splines;
\JAT; 5; 1972; 238--275;

%Golomb78
% author 29apr97
\rhl{G}
\refQ Golomb, M.;
Stability of interpolating elastica;
(Trans.\ Twenty-Fourth Conf.\ Army Math., ARO Report 79-1), xxx (ed.),
Army Research Office (xxx); 1978; 301--350;
% MRC TSR 1852, 8mar78
% nonlinear splines

%GolombJerome71
% carl
\rhl{G}
\refJ Golomb,  M., Jerome, J.;
Linear ordinary differential equations with boundary conditions on arbitrary
point sets;
\TAMS; 153; 1971; 235--264;

%GolombJerome82
\rhl{G}
\refJ Golomb,  M., Jerome, J. W.;
Equilibria of the curvature functional and manifolds of nonlinear interpolating
spline curves;
\SJMA; 13; 1982; 421--458;
% elastica

%GolombSchoenberg68a
% carl
\rhl{G}
\refR Golomb, M., Schoenberg, I. J.;
On ${\cal H}^m$--extension of functions and spline interpolation;
MRC, U.Wisconsin-Madison; 1968;
% This paper exists only as a reference in other papers, e.g., in 
% %Schoenberg68b where its proposed content is outlined, and in 
% %GolombJerome71 in which it is incorrectly specified as a MRC TSR and where
% its proposed content is generalized.

%GolombWeinberger59
% carl
\rhl{G}
\refP Golomb,  M., Weinberger, H. F.;
Optimal approximation and error bounds;
\Langer; 117--190;

%GolubHeathWahba79
% larry
\rhl{G}
\refJ Golub,  G. H., Heath, M., Wahba, G.;
Generalized cross-validation as a method for choosing a good
  ridge parameter;
Technometrics; 21; 1979; 215--222;

%GolubVanLoan89a
% peter
\rhl{G}
\refB Golub,  G. H., Loan, and C. F. Van;
Matrix Computations, 2nd ed.;
The Johns Hopkins University Press (xxx); 1989;

%GomesKushpelLevesleyRagozin97
% larry 10sep99
\rhl{GKLR}
\rhl{G}
\refP Gomes, S., Kushpel, A. K.,  Levesley, J., Ragozin, D. L.;
SK--spline interpolation on the torus using number theoretic knots;
\ChamonixIIIa; 143--149;

%GomesKushpelLevesleyRagozin9x
% author 24mar99 carl
\rhl{G}
\refJ Gomes, S., Kushpel, A. K., Levesley, J., Ragozin, D. L.;
sk-spline interpolation on the torus using number theoretic knots;
\JAT; 98(1); 1999; 56--71;
% sk-spline := any function of the form  $c_0 + \sum_{i>0} c_i K(\cdot-x_i)$
% with $\sum_i c_i = 0$ and $K$ periodic. Multivariate, approximation
% order

%GomesTeixeira07a
\rhl{G}
\refB Teixeira,  F. Gomes;
Trait\'e des Courbes Sp\'eciales Remarquables Planes et Gauches;
3 volumes, Chelsea (New York); 1907;

%Gonchar72
% larry
\rhl{G}
\refJ Gonchar,  A. A.;
Piecewise polynomial approximation;
\MaZ; 11; 1972; 129--134;

%Gonska83
\rhl{G}
\refJ Gonska,  H. H.;
On approximation in spaces of continuous functions;
Bull.\ Austral.\ Math.\ Soc.; 28; 1983; 411--432;

%Gonska84
\rhl{G}
\refP Gonska,  H. H.;
On approximation in $CX$;
\VarnaIV; 364--369;

%Gonska85
\rhl{G}
\refR Gonska,  H. H.;
Quantitative Approximation in $CX$;
Habilitations-schrift, Univ.\ Duisburg; 1985;

%Gonska86
\rhl{G}
\refP Gonska,  H. H.;
Simultaneous approximation by algebraic blending functions;
\Szabados; 363--382;

%Gonska90
% sonya
\rhl{G}
\refJ Gonska,  H. H.;
Degree of simultaneous approximation of bivariate functions by Gordon operators;
\JAT; 62; 1990; 170--191;

%GonskaJetter86
% sonya
\rhl{G}
\refJ Gonska,  H. H., Jetter, K.;
Jackson-type theorems on approximation by trigonometric and algebraic
pseudopolynomials;
\JAT; 48; 1986; 396--406;

%GonskaMeier87
% shayne 29apr97
\rhl{G}
\refJ Gonska, H. H., Meier, J.;
On approximation by Bernstein--type operators: Best constants;
\SSMH; 22; 1987; 287--297;

%GonskaMeir83
% larry
\rhl{G}
\refP Gonska,  H. H., Meir, J.;
A bibliography on approximation of functions by Bernstein-type operators
(1955--1982);
\TexasIV; 739--785;

%GonskaMeir86
% larry
\rhl{G}
\refP Gonska,  H. H., Meir, J.;
A bibliography on approximation of functions by Bernstein-type operators
Supplement 1986;
\TexasV; 621--654;

%GonskaZhou94
% shayne 22may98
\rhl{G}
\refJ Gonska, H. H., Zhou, Xin Long;
Approximation theorems for the iterated Boolean sums of Bernstein operators;
\JCAM; 53; 1994; 21--31;

%GonsorGrandine04
% carlref 03apr06
\rhl{}
\refP Gonsor, D., Grandine, T.;
A curve blending algorithm suitable for grid generation;
\Seattle; 279--284;

%GonsorNeamtu94
% larry
\rhl{G}
\refP Gonsor, D., Neamtu, M.;
Non-polynomial polar forms;
\ChamonixIIa; 193--200;

%GonsorNeamtu96a
% carl 5dec96
\rhl{G}
\refJ Gonsor, Dan, Neamtu, Marian;
Null spaces of differential operators, polar forms, and splines;
\JAT; 86(1); 1996; 81--107;

%Gonzalez81
\rhl{G}
\refR Gonzalez,  V. R.;
Resolucion mediante sistemas de
interpolacion de problemas relacionados
con los elementos finitos;
D.E.F. No.11; 1981;

%Gonzalez88
% .
\rhl{G}
\refR Gonz\'alez-Casanova,  P.;
The convergence of B spline quasi-interpolants in one and two dimensions.\ Part
I: Regular grid;
Report 88/13,
Oxford University Computing Laboratory, Numerical Analysis Group,
11 Keble Road (Oxford OX1 3QD); 1988;

%Gonzalez89
% .
\rhl{G}
\refR Gonz\'alez-Casanova,  P.;
The convergence of B spline quasi-interpolants in one and two dimensions.\ Part
II: Nonregular grid;
Report 89/9,
Oxford University Computing Laboratory, Numerical Analysis Group,
11 Keble Road (Oxford OX1 3QD); 1989;

%Goodman00
% larry 20apr00
\rhl{}
\refP Goodman, Tim N. T.;
Biorthogonal refinable spline functions;
\Stmalof; 219--226;

%Goodman03
% carl 08apr04
\rhl{}
\refJ Goodman, T. N. T.;
A class of orthogonal refinable functions and wavelets;
\CA; 19(4); 2003; 525--540;

%Goodman07
% carl 21nov08
\rhl{G}
\refJ Goodman, T. N. T.;
Multi-box splines;
\CA; 25(3); 2007; 279--301;

%Goodman79
% sherm
\rhl{G}
\refJ Goodman,  T. N. T.;
Perfect splines and Hermite-Birkhoff interpolation;
\JAT; 26; 1979;  108--118;

%Goodman79b
% . 12mar97
\rhl{G}
\refJ Goodman, T. N. T.;
Necessary conditions for the convergence of cardinal Hermite splines as their
   degree tends to infinity;
\TAMS; 255; 1979; 231--241;

%Goodman81
\rhl{G}
\refJ Goodman,  T. N. T.;
Hermite-Birkhoff interpolation by Hermite-Birkhoff splines;
Proc.\  R.  Soc.\  Edinburg; 88; 1981; 195--201;

%Goodman82
% sonya
\rhl{G}
\refJ Goodman,  T. N. T.;
The Lebesgue constants for some cardinal
	 spline interpolation operators;
\JAT; 36; 1982;  104--118;

%Goodman83
\rhl{G}
\refJ Goodman,  T. N. T.;
Solvability of cardinal spline interpolation problems;
Proc.\  Roy.\  Soc.\  Edinburgh; 95;  1983;  1187--1205;
% MR85g:41004  has Sect. A: 95(1-2): 1983: 39--57:

%Goodman83b
% sonya, shayne 23may95
\rhl{G}
\refJ Goodman, T. N. T.;
Interpolation in minimum semi-norm, and multivariate B-splines;
\JAT; 37; 1983; 212--223;
% The original paper that describes the family of lifted maps that Hakopian
% calls the scale of mean value interpolations, this includes the Kergin map

%Goodman85a
\rhl{G}
\refP Goodman,  T. N. T.;
Shape preserving approximation by polyhedral splines;
\MvatIII; 198--205;

%Goodman85b
% sonya
\rhl{G}
\refJ Goodman,  T. N. T.;
Properties of Beta-splines;
\JAT; 44;  1985;  132--153;

%Goodman87
% greg
\rhl{G}
\refJ Goodman,  T. N. T.;
Some properties of bivariate Bernstein-Schoenberg operators;
\CA; 3; 1987; 123--130;

%Goodman87b
% sonya
\rhl{G}
\refJ Goodman,  T. N. T.;
Variation diminishing properties of Bernstein polynomials on triangles;
\JAT; 50; 1987; 111--126;

%Goodman88a
\rhl{G}
\refQ Goodman,  T. N. T.;
Shape preserving interpolation by parametric rational cubic splines;
(Numerical Mathematics Singapore 1988),
R. P. Agarwal, Y. M. Chow, and S. J. Wilson (eds.),
International Series of Numerical Mathematics,
Vol.\ 86, Birkh\"auser (Basel); 1988; 149--158;

%Goodman89a
% carl
\rhl{G}
\refP Goodman,  T. N. T.;
Shape preserving representations;
\Oslo; 333--351;

%Goodman90a
% greg
\rhl{G}
\refJ Goodman,  T. N. T.;
Constructing piecewise rational curves with Frenet frame continuity;
\CAGD; 7; 1990; 15--32;

%Goodman90b
\rhl{G}
\refP Goodman,  T. N. T.;
Polyhedral splines;
\Teneriffe; 347--382;

%Goodman91
% greg
\rhl{G}
\refJ Goodman,  T. N. T.;
Closed surfaces defined from biquadratic splines;
\CA; 7; 1991; 149--160;

%Goodman91b
% sonya Lai-Schumaker book
\rhl{Goo91}
\refJ Goodman,  T. N. T.;
Convexity of B\'ezier nets on triangulations;
\CAGD; 2; 1991; 175--180;

%Goodman93a
% carl
\rhl{G}
\refJ Goodman,  T. N. T.;
Two ways to construct a smooth piecewise rational curve;
\JAT; 72(1); 1993; 69--86;

%Goodman94
% larry
\rhl{G}
\refP Goodman, T. N. T.;
Curvature of rational quadratics splines;
\ChamonixIIa; 201--208;

%Goodman94b
% carl
\rhl{G}
\refJ Goodman,  T. N. T.;
New bounds on the zeros of spline functions;
\JAT; 76(1); 1994; 123--130;

%Goodman95a
% carl 05feb96
\rhl{G}
\refJ Goodman,  T. N. T.;
Asymptotic formulas for multivariate Bernstein-Schoenberg operators;
\CA; 11(4); 1995; 439--454;

%Goodman96
% author 21nov08
\rhl{G}
\refP Goodman, T. N. T.;
Pairs of refinable bivariate splines;
\Montecatini; 125--138;

%Goodman96
% author 21nov08
\rhl{G}
\refP Goodman, T. N. T.;
Properties of bivariate refinable spline pairs;
\DuisburgII; 63--82;

%Goodman97a
% larry 10sep99
\rhl{G}
\rhl{G}
\refP Goodman, T. N. T.;
Constructing pairs of refinable bivariate spline functions;
\ChamonixIIIb; 145--162;

%Goodman98
% larry 10sep99
\rhl{}
\rhl{G}
\refP Goodman, T. N. T.;
Refinable spline functions;
\TexasIXc; 71--96;

%GoodmanIvanovSharma96a
% carl 20feb96
\rhl{G}
\refJ Goodman, T. N. T., Ivanov, K. G., Sharma, A.;
Hermite interpolation in the roots of unity;
\JAT; 84(1); 1996; 41--60;
% analytic functions, r-fold interpolation
% see GoodmanSharma92, CavarettaSharmaVarga81

%GoodmanLeeSL02
% MR1887504 (2003a:41006) 06jun04
\rhl{}
\refJ Goodman, T. N. T., Lee, S. L.;
Some properties of refinable splines;
AMS/IP Stud.{} Adv.{} Math.; 25; 2002; 93--107;
% Wavelet analysis and applications (Guangzhou, 1999),

%GoodmanLeeSL78
% MR0481760 (58 #1859) 06jun04
\rhl{GL}
\refJ Goodman, T. N. T., Lee, S. L.;
Another extremal property of perfect splines;
\PAMS; 70(2); 1978; 129--135;

%GoodmanLeeSL79a
% MR0551998 (81h:41004)  06jun04
\rhl{G}
\refJ Goodman, T. N. T.; Lee, S. L. 
Some extremal problems involving perfect splines;
Comment.{} Math.; Special Issue 2; 1979; 127--137;
% Special issue dedicated to W\l adys\l aw Orlicz on the occasion of his
% seventy-fifth birthday. 

%GoodmanLeeSL79b
% MR0556547 (81j:41016a) 06jun04
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L.;
Limits of cardinal spline functions;
Southeast Asian Bull.{} Math.; Special Issue a; 1979; 84--101;
% Corrigendum: same journal: Special Issue b: 1979: 245--246:

%GoodmanLeeSL79c
% MR0554001 (80k:41021) 06jun04
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L.;
A class of generalized cardinal splines;
\JAT; 27(2); 1979; 99--112;

%GoodmanLeeSL81
% sonya MR0647851
\rhl{G}
\refJ Goodman,  T. N., Lee, S. L.;
Spline approximation operators of Bern\-stein-Schoenberg
   type in one and two variables;
\JAT; 33(3); 1981; 248--263;

%GoodmanLeeSL82
% MR0654844
\rhl{G}
\refJ Goodman,  T. N., Lee, S. L.;
The Budan-Fourier Theorem and Hermite-Birkhoff spline interpolation;
\TAMS; 271(2); 1982;  451--467;

%GoodmanLeeSL82b
% MR0654845 06jun04
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L.;
A remainder formula and limits of cardinal spline interpolants;
\TAMS; 271(2); 1982; 469--483;

%GoodmanLeeSL83
% larry
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L.;
Cardinal interpolation by $D^M$-splines;
\PEMS, Sect A; 94; 1983; 149--161;

%GoodmanLeeSL83b
% larry
\rhl{G}
\refP Goodman,  T. N. T., Lee, S. L.;
B-splines on the circle and trigonometric B-splines;
\Singh; 297--325;

%GoodmanLeeSL84
% MR0760774
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L.;
Interpolatory and variation-diminishing properties of generalized
   B-splines;
\PEMS, Sect A; 96(3-4); 1984; 249--259;

%GoodmanLeeSL87a
%  MR0927344
\rhl{GL}
\refP Goodman,  T. N. T., Lee, S. L.;
Geometrically continous surface defined
   parametrically from piecewise polynomials;
\SurfacesII; 343--361;

%GoodmanLeeSL88
% MR0989762 (90j:42004) 06jun04
\rhl{GL}
\refJ Goodman, T. N. T., Lee, S. L.;
Convolution operators with trigonometric spline kernels;
\PEMS\ (2); 31(2); 1988; 285--299;

%GoodmanLeeSL91
% MR1096221 (92i:41015) 06jun04
\rhl{}
\refJ Goodman, T. N. T., Lee, S. L.;
Homogeneous polynomial splines;
\PEMS\ Sect.{} A; 117(1-2); 1991; 89--102;

%GoodmanLeeSL94
% hogan 19nov95
\rhl{G}
\refJ Goodman, T. N. T., Lee, S. L.;
Wavelets of multiplicity $r$;
\TAMS; 342(1); 1994; 307--324;

%GoodmanLeeSLSharma85
% MR 08apr04
\rhl{}
\refJ Goodman, T. N. T.,  Lee, S. L., Sharma, A.;
Approximation by $\Lambda$-splines on the circle;
\CJM; 37(6); 1985; 1085--1111;
% MR87h:30081

%GoodmanLeeSLSharma88
% MR0969893 
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L., Sharma, A.;
Asymptotic formula for the Bernstein-Schoenberg operator;
\ATA; 4(1); 1988; 67--86;

%GoodmanLeeSLSharma89
% larry  MR1001118
\rhl{G}
\refJ Goodman,  T. N. T., Lee, S. L., Sharma, A.;
Approximation and interpolation by complex splines on the torus;
\PEMS (Series II); 32(2); 1989; 197--212;

%GoodmanLeeSLTang93
% hogan 19nov95
\rhl{G}
\refJ Goodman, T. N. T., Lee, S. L., Tang, W. S.;
Wavelets in wandering subspaces;
\TAMS; 338(2); 1993; 639--654;

%GoodmanMazure01
% carl 21jan02
\rhl{}
\refJ Goodman, Tim, Mazure, Marie-Laurence;
Blossoming beyond extended Chebyshev spaces;
\JAT; 109(1); 2001; 48--81;

%GoodmanMicchelli83
% larry
\rhl{G}
\refJ Goodman,  T. N., Micchelli, C. A.;
Limits of spline functions with periodic knots;
\JLMS; 28; 1983;  103--112;

%GoodmanMicchelli92
% carl
\rhl{G}
\refJ Goodman,  T. N. T., Micchelli, C. A.;
On refinement equations determined by P\'olya frequency sequences;
\SJMA; 23; 1992; 766--784;

%GoodmanMicchelliRodriguezSeatzu95
% .
\rhl{G}
\refR Goodman, Tim N. T., Micchelli, Charles A., Rodriguez, Giuseppe, Seatzu,
Sebastiano;
On the Cholesky factorization of the Gram matrix of locally supported
functions;
ms; 1994;
% biinfinite matrix, exponential decay, orthogonal splines, cardinal splines

%GoodmanORourke97
% shayne 26aug98
\rhl{G}
\refB Goodman, J. E., O'Rourke, J.;
Handbook of Discrete and Computational Geometry;
CRC Press (Boca Raton); 1997;

%GoodmanOngBH97
% larry 10sep99
\rhl{GO}
\rhl{G}
\refP Goodman, T. N. T.,  Ong, B. H.;
Shape preserving interpolation by $G^2$ curves in three dimensions;
\ChamonixIIIa; 151--158;

%GoodmanOngUnsworth91
\rhl{G}
\refR Goodman,  T. N. T., Ong, B. H., Unsworth, K.;
Reconstruction of closed $C^1$ surfaces from cross-sectional data;
xxx; xxx;

%GoodmanOngUnsworth91a
\rhl{G}
\refP Goodman,  T. N. T., Ong, B. H., Unsworth, K.;
Constrained interpolation using rational cubic splines;
\Farinnion; 59--74;

%GoodmanOngUnsworth99
\rhl{G}
\refJ Goodman,  T. N. T., Ong, B. H., Unsworth, K.;
Reconstruction of $C^1$ closed surfaces with branching;
\C; xxx; to appear; xxx;

%GoodmanPeters94
% greg
\rhl{G}
\refJ Goodman,  T. N. T., Peters, J.;
B\' ezier nets, convexity and subdivision on higher dimensional simplices;
\CAGD; xx; 199x; xxx--xxx;

%GoodmanPeters95
% larry Lai-Schumaker book
\rhl{GooP95}
\refJ Goodman, T. N. T., Peters, J.;
B\'ezier nets, convexity and subdivision on higher-dimensional
   simplices;
\CAGD; 12; 1995; 53--65;

%GoodmanSaid90a
\rhl{G}
\refR Goodman,  T. N. T., Said, H.;
A $C^1$ triangular interpolant suitable for
scattered data interpolation;
Tech.\ Report, Univ.\ of Dundee; 1990;

%GoodmanSaid91
% greg
\rhl{G}
\refJ Goodman,  T. N. T., Said, H. B.;
Shape preserving properties of the generalised Ball basis;
\CAGD; 8; 1991; 115--121;

%GoodmanSchoenbergSharma86
% author 20jun97
\rhl{G}
\refJ Goodman, T. N. T., Schoenberg, I. J., Sharma, A.;
Piecewise smooth solutions of some difference-differential equations;
\JAT; 48; 1986; 262--271;
% mrc tsr 2296 (High order continuity implies good approximations to
% solutions fo certain funtional equations), 1981.

%GoodmanSharma84
% shayne 6aug96
\rhl{G}
\refJ Goodman, T. N. T., Sharma, A.;
Convergence of multivariate polynomials interpolating on a triangular array;
\TAMS; 285(1); 1984; 141--157;
% related to Kergin interpolation

%GoodmanSharma85
\rhl{G}
\refJ Goodman,  T. N. T., Sharma, A.;
A property of Bernstein-Schoenberg spline operators;
Proc.\ Edinburgh Math.\ Soc.; 28; 1985; 333--340;

%GoodmanSharma88
\rhl{G}
\refP Goodman,  T. N. T., Sharma, A.;
A modified Bernstein-Schoenberg operator;
\VarnaV; 166--173;

%GoodmanSharma91
% shayne 21jan02
\rhl{}
\refJ Goodman, T. N. T., Sharma, A.;
A Bernstein type operator on the simplex;
Math.\ Balk.\ New Ser.; 5; 1991; 129--145;

%GoodmanSharma92a
% author 20feb96
\rhl{G}
\refJ Goodman, T. N. T., Sharma, A.;
A property of Hermite interpolation in the roots of unity;
Ganita; 43; 1992; 171--180;

%GoodmanSharma93
% sherm, pagination, vol update
\rhl{G}
\refJ Goodman,  T. N. T., Sharma, A.;
Factorization of totally positive, symmetric, periodic, banded matrices, with
applications;
\LAA; 178; 1993; 85--107;

%GoodmanSharma94
% carl
\rhl{G}
\refR Goodman,  T. N. T., Sharma, A.;
A Bernstein-Schoenberg type operator: shape-preserving and limiting
behaviour;
ms; 1994;
% Seidel B-patch, univariate

%GoodmanTaani90
\rhl{G}
\refJ Goodman,  T. N. T., Taani, A. A.;
Cardinal interpolation by symmetric exponential box splines on a 
three-direction mesh;
\PEMS (Series II);
33;
1990;
251--264;

%GoodmanUnsworth85
% larry
\rhl{G}
\refQ Goodman,  T. N. T., Unsworth, K.;
Generation of $\beta$-spline curves using a recurrence relation;
(Fundamental Algorithms for Computer Graphics), R. A. Earnshaw (ed.),
Springer (Berlin); 1985; 325--357;

%GoodmanUnsworth86b
% carl
\rhl{G}
\refJ Goodman, Tim N. T., Unsworth, Keith;
Manipulating shape and producing geometric continuity in $\beta$-spline
surfaces;
\ICGA; 6(2); 1986; 50--56;

%GoodmanUnsworth88a
% greg
\rhl{G}
\refJ Goodman,  T. N. T., Unsworth, K.;
Shape preserving interpolation by curvature continuous parametric curves;
\CAGD; 5; 1988; 323--340;

%GoodmanUnsworth88b
% carl
\rhl{G}
\refJ Goodman,  T. N. T., Unsworth, K.;
Shape preserving interpolation by parametrically defined curves;
\SJNA; 25; 1988; 1453--1465;

%GoodmanUnsworth89b
\rhl{G}
\refR Goodman,  T. N. T., Unsworth, K.;
An algorithms for generating shape preserving parametric interpolating curves
using rational cubic splines;
Univ.\ of Dundee, Computer Science Report CS 89/01; 1989;

%Goodsell96
% carlrefs 20nov03
\rhl{}
\refR Goodsell, George;
A multi-grid type method for thin plate spline interpolation on a circle;
DAMTP 1996/NA2; 1996;

%Gopfert87
\rhl{G}
\refR G\"opfert,  W.;
Methodology for thematic image processing using thematic and topographic
data bases and base-integrated multi-sensor imagery;
XX; 1987;

%Gorbunov89
% .
\rhl{G}
\refJ Gorbunov, V. K.;
A method of normal spline collocation;
Zh.\ Vychisl.\ Mat.\ i Mat.\ Fiz.;
29(2); 1989; 212--224; 
% MR 90e:65188

%Gordon69
% larry
\rhl{G}
\refJ Gordon,  W. J.;
Spline-blended surface interpolation through curve networks;
\JMM; 18; 1969; 931--952;

%Gordon69b
\rhl{G}
\refP Gordon,  W. J.;
Distributive lattices and the approximation
of multivariate functions;
\MadisonII; 223--277;

%Gordon69c
\rhl{G}
\refR Gordon,  W. J.;
Free-form surface interpolation through curve networks;
Gen.\ Motors Res.\ Rpt.\ GMR 921; 1969;

%Gordon71b
\rhl{G}
\refR Gordon,  W. J.;
A note on the computation of cardinal basis
	 functions for interpolation and least squares
	 approximation with splines;
XX; 1971;

%Gordon71c
\rhl{G}
\refR Gordon,  W. J.;
An algorithm for the computation of cardinal
	 functions for problems of finite interplation;
XX; 1971;

%Gordon71d
% larry
\rhl{G}
\refJ Gordon,  W. J.;
Blending-function methods of bivariate
and multivariate interpolation and approximation;
\SJNA; 8; 1971; 158--177;

%Gordon83
% larry, carl
\rhl{G}
\refJ Gordon, William J.;
An operator calculus for surface and volume modeling;
\ICGA; 3(7); 1983; 18--22;

%Gordon93
% carl
\rhl{G}
\refP Gordon,  William J.;
Sculptured surface definition via blending function methods;
\Piegl; 117--134; % check the page numbers!
% expository

%GordonCheney77
\rhl{G}
\refQ Gordon,  W. J., Cheney, E. W.;
Bivariate and multivariate interpolation
with noncommutative projectors;
(Linear Spaces and Approximation), P. L. Butzer and
B. Sz-Nagy (eds.), Birkh\"auser (Basel); 1977; 381--387;

%GordonHall72
\rhl{G}
\refR Gordon,  W. J., Hall, C. A.;
Geometric aspects of the finite element method: construction of curvilinear
coordinate systems and their application to mesh generation;
GM; 972;

%GordonHall73
% carl
\rhl{G}
\refJ Gordon, William J., Hall, Charles A.;
Transfinite element methods, blending-function interpolation
over arbitrary curved element domains;
\NM; 21; 1973; 109--129;

%GordonRiesenfeld74
% larry
\rhl{G}
\refJ Gordon,  W. J., Riesenfeld, R. F.;
Bernstein-B\'ezier methods for the computer-aided design of free
	 form curves and surfaces;
\JACM; 21; 1974; 293--310;

%GordonRiesenfeld74b
\rhl{G}
\refP Gordon,  W. J., Riesenfeld, R. F.;
B-spline curves and surfaces;
\Barnhill; 95--126;

%GordonWixom74
% carl
\rhl{G}
\refJ Gordon,  William J., Wixom, James A.;
Pseudo-harmonic interpolation on convex domains;
\SJNA; 11; 1974; 909--933;

%GordonWixom78
% larry, carl
\rhl{G}
\refJ Gordon, William J., Wixom, James A.;
Shepard's method of ``metric
interpolation ''to bivariate and multivariate interpolation;
\MC; 32(141); 1978; 253--264;

%GoriPezzaPitolli00
% larry 20apr00
\rhl{}
\refP Gori, Laura, Pezza, Laura, Pitolli, Francesca;
A class of totally positive blending B-bases;
\Stmalod; 119--126;

%Gorinevsky91;
\rhl{G}
\refR Gorinevsky,  D. M.;
Learning and approximation in database for feedforward control of flexible 
manipulator;
7803-0078/91/0600-0688 IEEE; 1991;

%GormanSejnowski88
\rhl{G}
\refJ Gorman,  R. P., Sejnowski, T. J.;
Analysis of hidden units in a layered network trained 
to classify sonar targets; 
{Neural Networks};  1; 1988; 75;

%Gormaz94
% larry
\rhl{G}
\refP Gormaz, R.;
B-spline knot-line elimination and B\'ezier continuity conditions;
\ChamonixIIa; 209--216;

%GormazLaurent93
% carl 20nov03
\rhl{}
\refP Gormaz, Ra\'ul, Laurent, Pierre-Jean;
Some results on blossoming and multivariate B-splines;
\ChileII; 147--165;

%GoshtabyChengFHBarsky90
\rhl{G}
\refJ Goshtaby,  Ardeshir, Cheng, Fuhua, Barsky, B. A.;
B-spline curves and surfaces viewed as digital filters;
Computer Vision, Graphics, and Image Processing; 52(2); 1990; 264--275;

%Goshtasby00
% larry 20apr00
\rhl{}
\refP Goshtasby, A. Ardeshir;
Fitting parametric curves to dense and noisy points;
\Stmalof; 227--236;

%Goshtasby91;
\rhl{G}
\refR Goshtasby,  A.;
Data dependent triangulation by surface area minimization;
xxx; xxx;

%Gospodnetic65
\rhl{G}
\refR Gospodnetic,  D.;
Numerical definition of ships' hulls by means
	 of elastic interpolation;
Nat'l.\  Res.\  Labs.\  Rpt.,  Ottowa,  Canada; 1965;

%Gosselin63
\rhl{G}
\refJ Gosselin,  R. P.;
On the $L^p$ theory of cardinal series;
Annals of Math.; 78; 1963; 567--581;

%Gosselin72
% carlrefs 20nov03
\rhl{G}
\refJ Gosselin,  R. P.;
Singular integrals and cardinal series;
\SM; XLIV; 1972; 39--45;

%Gould72
\rhl{G}
\refQ Gould,  R. J.;
Surface Programs for Numerical Control;
(Curved Surfaces in Engineering),
J. Brown, (ed.),
IPC Science and Technology Press (Guildford); 1972; xxx-xxx;

%Goult94
% larry
\rhl{G}
\refP Goult, R. J.;
Applications of constrained polynomials to curve and
surface approximation;
\ChamonixIIa; 217--224;

%Gout77
% ., carl
\rhl{G}
\refJ Gout, J. L.;
 Estimation de l'erreur d'interpolation d'Hermite dans $\RR^n$;
 \NM; 28; 1977; 407--429;

%GoutC98
% carl 22may98
\rhl{G}
\refR Gout, Christian;
Approximation of curves and surfaces from rapidly varying data;
Center for Pure and Applied Mathematics, UCB, PAM-1001; 1998;

%GoutKomatitsch00
% Christian Gout 02feb01
\rhl{}
\refJ Gout, C., Komatitsch, D.;
Surface fitting of rapidly varying data using rank coding: application to
   geophysical surfaces;
Mathematical Geology; 32(7); 2000; 873--888;

%GoyalVetterliThao98
% shayne 21jan02
\rhl{}
\refJ Goyal, V. K., Vetterli, M., Thao, N. T. ;
Quantized overcomplete expansions in ${R}^N$:
   analysis, synthesis, and algorithms;
IEEE Trans.\ Inform.\ Theory; 44(1); 1998; 16--31;
% construction of isometric tight frames

%GrabowskiLi92a
% . 5dec96
\rhl{G}
\refJ Grabowski, H., Li, X.;
Coefficient formula and matrix of nonuniform B-spline functions;
\CAD; 24(12); 1992; 637--642;

%Graham72
\rhl{G}
\refJ Graham,  R. L.;
An efficient algorithm for determining the convex hull of a finite planar
set;
\IPL; 1; 1972; 132--133;

%Graham83
\rhl{G}
\refJ Graham,  N. Y.;
Smoothing with periodic cubic splines;
Bell System Tech.\  J.; 62; 1983;  101--110;

%Grandine01
% carl 21jan02
\rhl{}
\refJ Grandine, T. A.;
Minimal function spaces for spline interpolation;
\CA; 17(2); 2001; 157--168;
% characterizes data at 2n+k sites that can be interpolated from a 
% spline space of order k with n interior free knots. Assuming the data sites
% ordered, having no more than n-1 sign changes in the sequence of k-th
% divided differences is an evident necessary (but not a sufficient) condition.

%Grandine84
\rhl{G}
\refR Grandine,  T. A.;
The stable evaluation of multivariate B--splines;
MRC Rpt.\ 2744, Univ.\ Wis.; 1984;

%Grandine87
% greg
\rhl{G}
\refJ Grandine,  T. A.;
An iterative method for computing multivariate $C^1$ piecewise polynomial
interpolants;
\CAGD; 4; 1987; 307--319;

%Grandine87b 
% author 21feb96
\rhl{G}
\refJ Grandine,  T. A.;
The evaluation of inner-products of multivariate simplex splines;
\SJNA; 24; 1987; 882--886;
% MRC 2909: 1986

%Grandine87c
% author 21feb96
\rhl{G}
\refJ Grandine,  T. A.;
The computational cost of simplex spline functions;
\SJNA; 24; 19987; 887--890;
% MRC Rpt.\ 2926, Univ.\ Wis., 1986

%Grandine88a
% author 21feb96
\rhl{G}
\refJ Grandine,  T. A.;
The stable evaluation of multivariate simplex splines;
\MC; 50; 1988; 197--205;
% MRC, 1986

%Grandine89
% carl
\rhl{G}
\refJ Grandine,  T.;
Computing zeros of spline functions;
\CAGD; 6; 1989; 129--136;

%Grandine89b
% larry
\rhl{G}
\refJ Grandine, T.;
On convexity of piecewise polynomial functions on triangulations;
\CAGD; 6; 1989; 181--187;

%GrandineHogan04
% carlrefs 06jun04
\rhl{}
\refJ Grandine, Thomas A., Hogan, Thomas A.;
A parametric quartic spline interpolant to position, tangent and curvature;
\C; xx; 2004; xxx--xxx;
% DOI: 10.1007/s00607-003-0047-x

%Grandison97
% carl 20jun97
\rhl{G}
\refJ Grandison, Chris;
Behaviour of exponential splines as tensions increase without bound;
\JAT; 89(3); 1997; 289--307;
% Schweikert's tension spline
% removes assumption in Pruess76 concerning the uniformity in the rate at
% which individual tension parameters go to infinity in a certain process.

%Gravesen94
% larry
\rhl{G}
\refP Gravesen, J.;
Semi-regular B-spline surfaces: generalized lofting by B-splines;
\ChamonixIIa; 225--232;

%GrayAkin79
\rhl{G}
\refJ Gray,  W. H., Akin, J. E.;
An improved method for contouring on isoparametric surfaces;
Internat.\ J. Numer.\ Meth.\ Engr.; 14; 1979; 451--72;

%Grebennikov81
\rhl{G}
\refJ Grebennikov,  A. I.;
Optimal choice of grids in the interpolation of
functions of two variables by splines (Russian);
Vychsl.\ Metody i Programiro\-vannie; 35; 1981; 154--158;

%GreenSibson78
% larry
\rhl{G}
\refJ Green,  P. J., Sibson, R.;
Computing Dirichlet tessellations in the plane;
Computer J.; 21; 1978; 168--173;

%GreenSilverman94
% . 21jan02
\rhl{}
\refB Green, Peter J., Silverman, B. W.;
Nonparametric regression and generalized linear models: a roughness penalty
   approach;
Monographs on statistics and applied probability  58,
Chapman \& Hall (London, New York); 1994;
% good reference for: smoothing spline aka penalized least squares, 
% partial spline

%Gregory74
\rhl{G}
\refP Gregory,  J. A.;
Smooth interpolation without twist constraints;
\Barnhill; 71--87;

%Gregory75
\rhl{G}
\refP Gregory,  J. A.;
Error bounds for linear interpolation on triangles;
\BrunelI; 163--170;

%Gregory75b
\rhl{G}
\refD Gregory,  J. A.;
Piecewise interpolation theory for functions of two variables;
Brunel Univ.; 1975;

%Gregory78
\rhl{G}
\refP Gregory,  J. A.;
A blending function interpolant for triangles;
\HandscombI;  xx;

%Gregory80
\rhl{G}
\refJ Gregory,  J. A.;
A $C^1$ Triangular Interpolation Patch for Computer Aided Geometric 
Design;
\CGIP;
13;
1980;
80--87;

%Gregory83b
\rhl{G}
\refP Gregory,  J. A.;
$C^1$ rectangular and nonrectangular surface patches;
\CagdI;  25--33;

%Gregory84a
\rhl{G}
\refQ Gregory,  J. A.;
Shape preserving rational spline interpolation;
(Rational Approximation and Interpolation),
P. R. Graves--Morris, E. B. Saff, and R. S. Varga (eds.),
Lecture Note 1105, Springer (Berlin); 1984; xx;

%Gregory85
% greg
\rhl{G}
\refJ Gregory,  J. A.;
Interpolation to boundary data on the simplex;
\CAGD; 2; 1985; 43--52;

%Gregory86
% carl
\rhl{G}
\refP Gregory,  J. A.;
$N$-sided surface patches;
\SurfacesI; 217--232;

%Gregory86a
% carl
\rhl{G}
\refJ Gregory, John A.;
Shape preserving spline interpolation;
\CAD; 18(1); 1986; 53--57;
% geometry, spline-under-tension, hyperbolic functions.

%Gregory89a
% larry
\rhl{G}
\refP Gregory,  J. A.;
Geometric continuity;
\Oslo; 353--371;

%GregoryCharrot80
\rhl{G}
\refJ Gregory,  J. A., Charrot, P.;
A $C^1$ triangular interpolation patch for CAGD;
Computer Graphics Image Proc.; 13; 1980; 80--87;

%GregoryDelbourgo82
% larry
\rhl{G}
\refJ Gregory,  J. A., Delbourgo, R.;
Piecewise rational quadratic interpolation to monotonic data;
\IMAJNA; 2; 1982; 123--130;

%GregoryHahn87a
% greg
\rhl{G}
\refJ Gregory,  J. A., Hahn, J. M.;
Geometric continuity and convex combination patches;
\CAGD; 4; 1987; 79--89;

%GregoryHahn87b
\rhl{G}
\refR Gregory,  J. A., Hahn, J. M.;
Polygonal patches of high order continuity;
XX; 1987;

%GregoryHahn89a
% greg
\rhl{G}
\refJ Gregory,  J. A., Hahn, J. M.;
A $C^2$ polygonal surface patch;
\CAGD; 6; 1989; 69--75;

%GregoryHahnLau91a
\rhl{G}
\refR Gregory,  J. A., Hahn, J., Lau, V. K. H.;
High order continuous
polygonal patches;
TR/06/91, Mathematics \& Statistics Department,
Brunel University; 1991;

%GregoryLauZhou90
% carl
\rhl{G}
\refP  Gregory, J., Lau, Vincent, Zhou, Jianwei;
Smooth parametric surfaces and $n$-sided patches;
\Teneriffe; 457--498;

%GregoryQu
\rhl{G}
\refR Gregory,  J. A., Qu, R.;
Non-uniform corner cutting;
preprint; 1988;

%GregorySarfaz90
\rhl{GS} 20nov03
\refJ Gregory,  J. A., Sarfaz, M.;
A rational cubic spline with tension;
\IMAJNA; 7; 1990; 1--13;

%GregorySarfrazYuen92a
\rhl{G}
\refR Gregory,  J. A., Sarfraz, M., Yuen, P. K.;
A rational spline with
interval and point tension;
TR/01/92, Mathematics Dept., Brunel Univ.;
1992;

%GregoryZhou90
\rhl{G}
\refR Gregory,  J. A., Zhou, J.;
Convexity of B\'ezier nets on sub-triangles;
Brunel Univ., Uxbridge, England; xxx;

%GregoryZhou91
\rhl{G}
\refR Gregory,  J. A., Zhou, J.;
Irregular $C^2$ surface construction using bi-polynomial rectangular patches;
Brunel Univ., Uxbridge, England; xxx;

%GregoryZhou91b
% LLS Lai-Schumaker book
\rhl{GreZ91}
\refJ Gregory, J. A., Zhou, J. W.;
Convexity of B\'ezier nets on sub-triangles;
\CAGD; 8; 1991; 207--211;

%Greiner91
% .
\rhl{G}
\refJ Greiner, H.;
A survey on univariate data interpolation and approximation by splines of a
given shape;
Math.\ Comput.\ Modelling; 15; 1991; 97--106;

%Greiner94a
% larry
\rhl{G}
\refP Greiner, G.;
Surface construction based on variational principles;
\ChamonixIIb; 277--286;

%Greiner94b
% carlrefs
\rhl{G}
\refJ Greiner, G\"unther;
Variational design and fairing of spline surfaces;
Computer Graphics Forum; 13(3); 1994; 144--154;
% (EUROPGRAPHICS '94), M. D{\ae}hlen and L. Kjelldahl (eds.), Blackwell Publ.
% proposes sensible approximations to standard functionals (thin plate energy
% and MVC ( = minimal variation of curvature)) based on a desired approximate
% shape which may be iteratively refined.

%GreinerHormann97
% larry 10sep99
\rhl{GH}
\rhl{G}
\refP Greiner, G., Hormann, K.;
Interpolating and approximating scattered 3D data
with hierarchical tensor product B-splines;
\ChamonixIIIb; 163--172;

%Greinerxx
% carlrefs 20nov03
\rhl{}
\refR Greiner, G\"unther;
Data dependent fairness functionals;
ms IMMD IX, U. Erlangen; 19xx;

%GrenanderSzego84
\rhl{G}
\refB Grenander,  U., Szeg\"o, G.;
Toeplitz Forms and Their Applications; 
2nd ed., Chelsea Publ.\ Comp. (New York); 1984;

%Gresbrand96
% . 02feb01
\rhl{}
\refJ Gresbrand, A.;
Rational B-splines with prescribed poles;
\NA; 12; 1996; 151--158;

%Greville44
% larry carlrefs
\rhl{G}
\refJ Greville,  Thomas N. E.;
The general theory of osculatory interpolation;
Trans.\ Actuarial Soc. America; 45; 1944;  202--265;

%Greville46
% larry
\rhl{G}
\refR Greville,  T. N. E.;
Subtabulacao por minimos quadrados de diferencas
	 finitas;
Rio de Janeiro; 1946;

%Greville47a
% carlrefs
\rhl{}
\refJ Greville, T. N. E.;
Actuarial note: Adjusted average graduation formulas of maximum smoothness;
The Record, Amer.\ Inst.\ Actuaries; XXXVI, Part II, No.~74; 1947; 249--264;

%Greville48a
% carlrefs
\rhl{}
\refJ Greville, T. N. E.;
Actuarial note: Tables of coefficients in adjusted average graduation
   formulas of maximum smooothness;
The Record, Amer.\ Inst.\ Actuaries; XXXVII, Part I, No.~75; 1948; 11--30;

%Greville57
% larry carlrefs
\rhl{G}
\refJ Greville,  T. N. E.;
On smoothing a finite table: A matrix approach;
\SJMA; 5; 1957;  137--154;

%Greville61
\rhl{G}
\refJ Greville,  T. N. E.;
Note on fitting of functions of several variables;
\SJAM; 9; 1961; 109--115;

%Greville64
% carlrefs
\rhl{G}
\refR Greville,  T. N. E.;
Interpolation by generalized spline functions;
MRC 476; 1964;
% The smoothest interpolant in the sense of minimizing $\norm{T_S(f))}_2$
% with $T$ the linear differential operator whose kernel is $S$. No mention
% of GolombWeinberger59.

%Greville64b
% larry carlrefs
\rhl{G}
\refJ Greville,  T. N. E.;
Numerical procedures  for interpolation by spline functions;
\SJNA\ Ser.B; 1; 1964;  53--68;

%Greville66
\rhl{G}
\refR Greville,  T. N. E.;
On stability of linear smoothing formulas;
MRC Tech.\  Rpt.\  611; 1966;

%Greville67a
% greville
\rhl{G}
\refQ Greville,  T. N. E.;
Chapter 8: Spline functions, interpolation and numerical quadrature;
(Mathematical Methods for Digital Computers, Vol.\ II), 
A. Ralston and H. Wilf (eds.), John Wiley \& Sons (New York); 1967; 156--168;

%Greville67b
% sherm, pagination  Note, appendix to schoenberg article
\rhl{G}
\refP Greville,  T. N. E.;
On the Normalisation of the B-Splines and the Location of the Nodes for 
the Case of Unequally Spaced Knots;
\Shisha; 286--290;

%Greville68
\rhl{G}
\refR Greville,  T. N. E.;
Data fitting by spline functions;
MRC Tech.\  Rept.\ 893; 1968;

%Greville69
\rhl{G}
\refP Greville,  T. N. E.;
Introduction to spline functions;
\MadisonI;	    1--35;

%Greville69b
\rhl{G}
\refR Greville,  T. N. E.;
Spline functions and applications;
Summary; 1969;

%Greville69c
\rhl{G}
\refB Greville{ (ed.)},  T. N. E.;
Theory and Applications of Spline Functions;
Academic Press (New York); 1969;

%Greville70
% larry, carl
\rhl{G}
\refJ Greville, T. N. E.;
Table for third-degree spline interpolation with
	 equally spaced arguments;
\MC; 24(109); 1970; 179--183;
% natural cubic spline interpolation, smoothest interpolating function,
% generating functions.

%Greville71a
% carlrefs
\rhl{}
\refR Greville, T. N. E.;
On expressions for an oblique projector in terms of associated orthogonal
   projectors;
MRC TSR 1170, December; 1971;

%Greville72
% . 29apr97
\rhl{G}
\refQ Greville, T. N. E.;
Another look at cubic spline interpolation at equidistant data;
(Transactions of the 7th Conf.\ Army Math.), xxx (ed.), ARO-D report 72-1
(xxx); 1972; 237--264;
% MRC TSR 1148, 1971

%Greville72b
% carlrefs
\rhl{}
\refQ Greville, T. N. E.;
Spline functions in Numerical Analysis;
(Proc.\ Second Manitoba Conference on Numerical Mathematics),
xxx (eds.),
Utilitas Mathematica Publishing Inc.{} (Winnipeg); 1972; 1--17;

%Greville78
% sherm
\rhl{G}
\refQ Greville,  T. N. E.;
On a problem concerning band matrices with Toeplitz inverses;
(Proc.\ Eighth Manitoba Conference on Numerical Mathematics and Computing),
D. McCarthy and H. C. Williams (eds.),
Utilitas Mathematica Publishing Inc.\ (Winnipeg); 1978; 275--283;

%Greville81a
% carlrefs
\rhl{}
\refJ Greville, T. N. E.;
Moving weighted-average smoothing extended to the extremities of the data. II.
   Methods;
Scand.\ Actuarial J.; ; 1981; 65--81;

%Greville81b
% carlrefs
\rhl{}
\refJ Greville, T. N. E.;
Moving weighted-average smoothing extended to the extremities of the data. III.
   Stability and optimal properties;
\JAT ; 33(1); 1981; 43--58;

%Greville81c
% carlrefs
\rhl{}
\refJ Greville, T. N. E.;
Moving weighted-average smoothing extended to the extremities of the data. I.
   Theory;
Scand.\ Actuarial J.; ; 1981; 39--55;

%GrevilleRosser66
\rhl{G}
\refR Greville, T. N. E., Rosser, J. B.;
Approximations of continuous functions by polygonal functions;
Mathematics Research Center, University of Wisconsin-Madison, Report \#682; 
1966;

%GrevilleSchoenbergSharma73
% larry
\rhl{G}
\refP Greville,  T. N. E., Schoenberg, I. J., Sharma, A.;
The spline interpolation of sequences satisfying a
  linear recurrence relation;
\TexasI; 365--367;

%GrevilleSchoenbergSharma83
% MR 08apr04
\rhl{}
\refJ Greville, T. N. E., Schoenberg, I. J.;
The behavior of the exponential Euler spline $S_n(x;t)$ as 
   $n\rightarrow\infty$ for negative values of the base $t$; 
\CMSCP; 3; 1983; 185--198;
% MR85c:41017

%GrevilleTrench79
% larry
\rhl{G}
\refJ Greville,  T. N. E., Trench, W. F.;
Band matrices with Toeplitz inverses;
\LAA; 27; 1979; 199--209;

%GrevilleVaughan54
% larry carlrefs
\rhl{G}
\refJ Greville,  T. N. E., Vaughan, H.;
Polynomial interpolation in terms of symbolic operators;
Transact.\  Soc.\  Actuaries; 6; 1954; 413--476;

%GrevilleVaughan82
% . 20jun97 carlrefs
\rhl{G}
\refJ Greville, T. N. E., Vaughan, H.;
Smoothest local interpolation formulas for equally spaced data;
Utilitas Math.; 22; 1982; 293--314;
% MRC 2262, 1981.

%Grieger85
% greg
\rhl{G}
\refJ Grieger,  I.;
Geometry cells and surface definition by finite elements;
\CAGD; 2; 1985; 213--222;

%GrigorieffSloan96
% . 23jun03
\rhl{}
\refJ Grigorieff, R. D., Sloan, I. H.;
Spline Petrov-Galerkin methods with quadrature;
Numer.\ Funct.\ Anal.\ Optimz.; 17; 1996; 755--784;

%GrigorieffSloanBrandts00
% carl 21jan02
\rhl{}
\refJ Grigorieff, R. D., Sloan, I. H., Brandts, J. H.;
Superapproximation and commutator properties of discrete orthogonal
   projections for continuous splines;
\JAT; 107(2); 2000; 244--267;

%Gripenberg96
% carl 07may96
\rhl{G}
\refJ Griepenberg, Gustaf;
On subdivision interpolation schemes;
\SJMA; 27(2); 1996; 578--593;

%GrisinBercun74
\rhl{G}
\refJ Grisin,  A. M., Bercun, V. N.;
The iteration -interpolation method and spline theory (Russian);
Dok.\  Akad.\  Nauk.\  SSSR.; 214;  1974;	751--754;

%Grobner70
% carl 16aug02
\rhl{G70}
\refB Gr\"obner, W.;
Algebraische Geometrie II;
Bibliographisches Institut Mannheim, B.I.-Hoch\-schul\-ta\-schen\-buch
(Germany); 1970;
%  On pages 168ff, multiplicity of a point in the variety of an ideal, in
%  terms of the Hilbert function and the length of the associated primary
%  ideal wrto the associated prime ideal, is also shown to coincide with
%  Macaulay16's definition of  multiplicity of that primary ideal in terms
%  of his inverse system, and this, in turn, is shown to equal the dimension
%  of the ($D$-invariant) polynomial space
%  $Q_v:=\{q\in\Pi: q(D)f(v)=0, f\in I\}$ (without citing Grobner49)

%GrochenigCohenAVillemoes9x
% amos 20jun97 15jan99
\rhl{G}
\refJ Gr\"ochenig, K., Cohen, A.,  Villemoes, L.;
Regularity of multivariate refinable functions;
% preprint 1996
\CA; xx; 199x; xxx--xxx;

%GrochenigMadych92
% . 12mar97
\rhl{G}
\refJ Gr\"ochenig, K. H., Madych, W. R.;
Multiresolution analysis, Haar bases and self-similar tilings of $\RR^n$;
IEEE Trans.\ Inform.\ Theory; 38; 1992; 556--568;

%GrochenigRon98
% . 29apr97 26aug98
\rhl{G}
\refJ Gr\"ochenig, Karlheinz, Ron, Amos;
Tight compactly supported wavelet frames of arbitrarily high smoothness;
\PAMS; 126(4); 1998; 1101--1107;

%GrochenigRon98
% amos 26aug98
\rhl{G}
\refJ Gr\"ochenig, K-H., Ron, A.;
Tight compactly supported wavelet frames of arbitrarily high smoothness;
\PAMS; 126; 1998; 1101--1107;

%Groebner70
% . 14may99
\rhl{G}
\refB Gr\"obner, W.;
Algebraische Geometrie {I}, {II};
BI--Hoch\-schul\-ta\-schen\-b{\"{u}}\-cher Bi\-blio\-gra\-phi\-sches 
   Institut (Mannheim); 1968, 1970;

%Gronwall14
%  24mar99
\rhl{G}
\refJ Gronwall, T. H.;
On the degree of convergence of Laplace series;
\TAMS; 15; 1914; 1--30;
% Jackson on $S^2$

%Gronwall21
% brutman 23jun03
\rhl{}
\refJ Gronwall, T. H.;
A sequence of polynomials connected with the n-th roots of unity;
\BAMS; 27; 1921; 111--120;
% Brutman80 points out that the constant in (25) should be 
% 2/\pi[\gamma+\log(8/\pi)]

%Grosse80
\rhl{G}
\refD Grosse,  E.;
Approximation and optimization of electron density maps;
Stanford University; 1980;

%Grosse80b
\rhl{G}
\refJ Grosse,  E.;
Tensor spline approximation;
\LAA; 34; 1980; 29--41;

%Grosse85
\rhl{G}
\refR Grosse,  E.;
Automatic choice of colors for level plots;
Bell Labs; 1985;

%Grosse93a
% carl
\rhl{G}
\refJ Grosse,  Eric;
Approximation in VLSO simulation;
\NA; 5; 1993; 591--601;
% pushes use of trivariate box splines

%GrosseHobby94a
% carl
\rhl{G}
\refJ Grosse,  E., Hobby, J. D.;
Improved rounding for spline coefficients and knots;
% AT\&T Bell Laboratories, Murray Hill, NJ, 1991,
\MC; 63(207); 1994; 175--194;

%GrossmannMorlet84
\rhl{G}
\refJ Grossmann,  A., Morlet, J.;
Decomposition of Hardy functions into square integrable wavelets of constant
shape;
\SJMA; 15; 1984; 723--736;

%GrothmannMhaskar91
\rhl{G}
\refJ Grothmann,  R., Mhaskar, H. N.;
Detection of singularities using segment approximation;
\CAGD; xxx; submitted; xxx;

%Grozev89
% larry
\rhl{G}
\refJ Grozev,  G. R.;
Comparison theorems for $L$-monosplines of minimal norm;
\NM; 56; 1989; 331--343;

%GrubergerLevinChui93
% author 07may96
\rhl{G}
\refJ Gruberger, N., Levin, D., Chui, C. K.;
Adding flexibility to piecewise quadratic curves and surfaces;
\CAGD; 10; 1993; 469--481;

%GrunbaumShepard87
% carl 20apr00
\rhl{}
\refB Gr\"unbaum, B., Shepard, G.;
Tilings and Patterns;
W. H. Freeman (); 1987;

%Grunwald36
% carl 29apr97
\rhl{G}
\refJ Gr\"unwald, G\'eza;
\"Uber Divergenzerscheinungen der Lagrangeschen Interpolations\-polynome
stetiger Funktionen;
Ann.\ Math.; 37; 1936; 908--918;
% everywhere divergence of polynomial interpolant to data at the Chebyshev
% zeros.

%Grunwald42
% .
\rhl{G}
\refJ Gr\"unwald, G.;
On the theory of interpolation;
Acta Math.; 75; 1942; 219--245;
% Hermite interpolation, convergence in uniform norm

%Grusa82
% . 29apr97
\rhl{G}
\refQ Grusa, Karl-Ulrich;
Zweidimensionale, interpolierende Lg-Splines und ihre Anwendungen;
(Lecture Notes in Mathematics, 916), xxx (ed.), Springer-Verlag (Berlin); 1982;
xxx-xxx;
% MR84m:65008

%GryteHoskins
% ???
\rhl{G}
\refR Gryte,  D. G., Hoskins, W. D.;
Some multipoint expansions for odd-degree
polynomial splines with equidistant knots;
XX; 19xx;

%Grzanna78
% sonya
\rhl{G}
\refJ Grzanna,  J.;
Zweidimensionale Spline-Interpolation \"uber einem Polargitter;
\JAT; 22; 1978; 189--201;

%Gu86
% shayne 6aug96
\rhl{G}
\refJ Gu, Rong Qing;
An extension of Kergin's interpolation operator;
Kexue Tongbao; 31(11); 1986; 805--808;

%Gu88
\rhl{G}
\refR Gu,  C.;
RKPACK -- A general purpose minipackage for spline modelling;
Wis.; 1988;

%Gu93
% sherm, pagination, vol update
\rhl{G}
\refJ Gu,  Chong;
Interaction splines with regular data: automatically smoothing digital images;
\SJSC; 14(1); 1993; 218--230;

%GuBatesChenWahba88
\rhl{G}
\refR Gu,  C., Bates, D., Chen, Z., Wahba, G.;
The computation of GCV functions through Householder tridiagonalization
with application to the fitting of interaction spline models;
Wis; 1988;

%GuCHeckmanWahba92
% carl 23jun03
\rhl{}
\refJ Gu, Chong, Heckman, Nancy, Wahba, Grace;
A note on generalized cross-validation with replicates;
Stat.\ Probab.\ Letters; 14; 1992; 283--287;

%Guan82
\rhl{G}
\refJ Guan,  L. T.;
A smoothing spline iterative algorithm for
	 computing spline functions in a convex set (Chinese);
Num.\  Math.\  J.  Chin.\ Univ.; 4; 1982; 	 268--278;

%Guan86
\rhl{G}
\refJ Guan,  Lu-Tai;
Multivariate optimal fitting of inexact scattered data on a rectangle with  
continuous boundary conditions;
Acta Sci.\ Natur.\ Univ.\ Sunyatseni 
(Zhongshan Daxue Xuebao.\ Ziran Kexue Ban); xx; 1986; 79--86;

%GuanLi89
% carl
\rhl{G}
\refP Guan,  L\"utai, Li, Yuesheng;
Multivariate polynomial natural spline interpolation to scattered data;
\TexasVI; 311--314;

%GuenterYunMersereau93
\rhl{G}
\refR Guenter, B. K., Yun, H. C., Mersereau, R. M.;
Motion compensated compression of computer animation frames;
Graphics, Visualization, \& Usability Center, Georgia Institute of Technology;
1993;

%GuentherRoetman70
% larry, carl
\rhl{G}
\refJ Guenther, R. B., Roetman, E. L.;
Some observations on interpolation in higher dimensions;
\MC; 24(111); 1970; 517--522;
% successive displacement of coordinates.

%Gueorguiev00
% larry 20apr00
\rhl{}
\refP Gueorguiev, Gueorgui H.;
Rational ruled surfaces passing through two fixed lines;
\Stmalod; 127--134;

%GuerraTapia74
\rhl{G}
\refR Guerra,  V., Tapia, R. A.;
A local procedure for error detection and data smoothing;
MRC Tech.\  Summ.\  Rept.\  No.\ 1452; 1974;

%GuerriniMontefusco97
% larry 10sep99
\rhl{GM}
\rhl{G}
\refP Guerrini, C.,  Montefusco, L. B.;
Wavelet decomposition for Toeplitz matrices;
\ChamonixIIIb; 173--182;

%Guglielmo69
\rhl{G}
\refJ Guglielmo,  F. di;
Construction d'approximations des espaces de
Sobolev sur des r\'eseaux en simplexes;
Calcolo; 6; 1969; 279--331;

%Guglielmo70
% larry
\rhl{G}
\refJ Guglielmo,  F. di;
M\'ethode des \'el\'ements finis: une famille d'approximations des espaces
de Sobolev par les translates de $p$ fonctions;
Calcolo; 7; 1970; 185--233;

%Guillet97
% larry 10sep99
\rhl{G}
\rhl{G}
\refP Guillet, X.;
Interpolation by new families of B-splines on uniform meshes
of the plane;
\ChamonixIIIb; 183--190;

%GuilletL\'eon00
% larry 20apr00
\rhl{}
\refP Guillet, St\'ephane, L\'eon, Jean-Claude;
Deformation criteria for the direct manipulation of free form surfaces;
\Stmalod; 135--144;

%GundyKazarian00
% carl 02feb01
\rhl{}
\refJ Gundy, Richard F., Kazarian, Kazaros;
Stopping times and local convergence for spline wavelet expansions;
\SJMA; 31(3); 2000; 561--573;

%Gunttner94
% carl
\rhl{G}
\refJ G\"unttner, R.;
Exact bounds for the uniform approximation by cardinal spline interpolants;
\NM; 68(2); 1994; 263--267;
% gets exact constant  c = (1 + \norm{S_{r,h}} in the error bound 
%    \norm{f-S_{r,h}f}_\infty \le c \omega(f,h)
% in cardinal spline interpolation of order r at  h\ZZ .

%GuoB91
% .
\rhl{G}
\refD Guo,  B.;
Modeling arbitrary smooth objects with algebraic surfaces;
PhD., Computer Science, Cornell U. (Ithaka NY); 1991;

%GuoZ80
\rhl{G}
\refJ Guo,  Z. R.;
On a sort of interpolating splines (Chinese);
Math.\  Numer.\  Sinica; 2; 1980;  282--287;

%GuoZ81
\rhl{G}
\refJ Guo,  Z. R.;
A note on lacunary interpolation by splines (Chinese);
Math.\  Numer.\  Sinica; 3; 1981; 	 175--178;

%GuoZ82
\rhl{G}
\refJ Guo,  Z. R.;
On lacunary spline interpolation (Chinese);
Math.\  Numer.\  Sinica; 4; 1982;  109--113;

%GuoZJia90
\rhl{G}
\refJ Guo,  Zhu Rui, Jia, R. Q.;
A ${\rm B}$-net approach to the study of multivariate splines;
Advances in Mathematics (China). Shuxue Jinzhan; 19; 1990; 189--198;
% author gives title as: A B-net approach in multivariate spline theory

%GusemanSchumaker84
\rhl{G}
\refR Guseman,  L., Schumaker, L.;
Multivariate spline methods in surface fitting;
RPT.; 1984;

%GusemanSchumaker84b
\rhl{G}
\refR Guseman,  L., Schumaker, L.;
Proceedings of the NASA workshop on multivariate splines;
RPT.; 1984;

%Gusev61
% shayne 02feb01
\rhl{}
\refJ Gusev, V. A.;
Functionals of the derivatives of an algebraic polynomial and a theorem of V.
A. Markov;
Izv.\ Akad.\ Nauk SSSR Ser.\ Mat.; 25; 1961; 367--384;

%Gussmann80
% . 26aug98
\rhl{G}
\refP G\"ussmann, B.;
$L_\infty$-bounds of $L_2$-projections on splines;
\BonnII; 20--24;

%Gutknecht80
% larry
\rhl{G}
\refP Gutknecht,  M. H.;
Two applications of periodic splines;
\TexasIII; 467--472;

%Gutknecht87
% carl
\rhl{G}
\refJ Gutknecht,  M. H.;
Attenuation factors in multivariate Fourier analysis;
\NM; 51; 1987; 615--629;

%Guzman75
% shayne 6aug96
\rhl{G}
\refB Guzman, M. de;
Differentiation of integrals in $\RR^n$;
Springer--Verlag (Berlin); 1975;
% Lecture notes in mathematics 481
% deals with the Hardy-Littlewood maximal operator, may be
% related to the multivariate form of Hardy's inequality

%Gyorvarv83
\rhl{G}
\refJ Gyorvarv,  J.;
Lakun\"are Interpolation mit Spline-Funktionen;
Acta Math.\  Hung.; 42; 1983;  25--33;

%GoutC97
% christian.gout@univ-pau.fr
\rhl{G}
\refD Gout, C.;
Etude de changements d\'echelle en approximation-ajustement spline sur des
surfaces;
Universit\'e de Pau; 1997;