%Eagle28
% . 15jan99
\rhl{E}
\refJ Eagle,  A.;
On the relations between Fourier constants of a periodic function
   and the coefficients determined by harmonic analysis;
Philos.\ Mag.; 5; 1928; 113--132;

%EarnshawYuille71
% carl
\rhl{E}
\refJ Earnshaw, J. L., Yuille, I. M.;
A method of fitting parametric equations for curves and
	 surfaces to sets of points defining them approximately;
\CAD; 3; 1971; 19--22;

%Ech-cherifMarinEcker88
\rhl{E}
\refR Ech-cherif,  A., Marin, S. P., Ecker, J. G.;
Robot trajectory planning by nonlinear programming;
GM; 1988;

%Eck91a
% larry
\rhl{E}
\refD Eck,  M.;
Geometrische Verfahren zur dreidimensionalen
Osteotomieplanung;
TH Darmstadt; 1991;

%Eck92
% .
\rhl{E}
\refJ Eck, Matthias;
Degree reduction of B\'ezier curves;
\CAGD; 10; 1992; 237--251;

%Eck94
% . 24mar99
\rhl{E}
\refQ Eck, Matthias;
Degree reduction of B\'ezier surfaces;
(Design and Application of Curves and Surfaces (Edinburgh, 1992)), xxx (ed.),
Oxford University Press (New York); 1994; 135--154;

%Eck95
% . 24mar99
\rhl{E}
\refJ Eck, Matthias;
Least squares degree reduction;
\CAD; 27; 1995; 845--851;

%EckHadenfeld94
% larry
\rhl{E}
\refP Eck, M., Hadenfeld, J.;
A stepwise algorithm for converting B-splines;
\ChamonixIIa; 131--138;

%EckLasser99
\rhl{E}
\refR Eck,  M., Lasser, D.;
B-spline-B\'ezier representation of geometric spline curves: quartics and 
quintics;
Techn.\ Hochschule Darmstadt; xxx;

%EdelmanMicchelli87
% carl
\rhl{E}
\refJ Edelman,  A., Micchelli, C.;
Admissible slopes for monotone and convex interpolation;
\NM; 51; 1987; 441--458;

%EdelmanMicchelli87a
\rhl{E}
\refJ Edelman,  A., Micchelli, C.;
On locally supported basis functions for the representation of
geometrically continuous curves;
Analysis; 7; 1987; 313--341;

%Edelsbrunner01
% larry Lai-Schumaker book
\rhl{Ede01}
\refB Edelsbrunner, H.;
Geometry and Topology for Mesh Generation;
Cambridge University Press (Cambridge); 2001;

%Edelsbrunner87
% larry Lai-Schumaker book
\rhl{Ede87}
\refB Edelsbrunner, H.;
Algorithms for Combinatorial Geometry;
Springer-Verlag (Heidelberg); 1987;

%EdelsbrunnerMucke90
% carl
\rhl{E}
\refJ Edelsbrunner,  H., M\"ucke, E. P.;
Simulation of simplicity: A technique to cope with degenerate cases in
geometric algorithms;
\ACMTG; 9(2); 1990; 66--104;
% possibly important for evaluation of multivariate B-splines

%Edelstein81a
% carl 21feb96
\rhl{E}
\refJ Edelstein, M.;
Weakly proximinal sets;
\JAT; 18; 1981; 1--8;

%EdmondsOpic93
% shayne 07may96
\rhl{E}
\refJ Edmonds, D. E., Opic, B.;
Weighted Poincar\'e and Friedrichs inequalities;
\JLMS; 47; 1993; 79--96;

%Edrei39
% carl
\rhl{E}
\refJ Edrei,  A.;
Sur les d\'eterminants recurrents et les singularit\'es d'une fonction donn\'e
par son d\'eveloppement de Taylor;
Comp.\ Math.; 7; 1939; 20--88;

%Edwards89
\rhl{E}
\refR Edwards,  J. A.;
Exact equations of the nonlinear spline;
xxx; 1989;

%Edwards99
\rhl{E}
\refR Edwards,  J. A.;
On the precise minimisation of the the curvature energy functional using a
finite element method;
XX; 19xx;

%EgeciogluGallopoulosKoc90
% . 05mar08
\rhl{EG}
\refJ Egecioglu, O., Gallopoulos, E., Koc, C. K.;
A parallel method for fast and practical high-order Newton interpolation;
\BIT; 30; 1990; 268--288;

%EgeciogluKocGallopoulos89
% . 05mar08
\rhl{EG}
\refJ Egecioglu, O., Koc, C. K., Gallopoulos, E.;
Fast computation of divided differences and parallel Hermite interpolation;
J. Complexity; 5; 1989; 417--437;

%Egeland99b
\rhl{E}
\refR Egeland,  O.;
The construction of a control polygon for a B-spline curve;
xx;  19xx;

%EgerstedtMartin03
% . 03apr06
\rhl{}
\refJ Egerstedt, M., Martin, C. F.;
Statistical estimates for generalized splines;
Control, Optimization and Calculus of Variations; 9; 2003; 553--562;

%EgloffMaiss75
\rhl{E}
\refR Egloff,  P., Maiss, G.;
ISOFIX--Ein system zur grafischen Darstellung von Isolinien auf
Bildschirm und Zeichentisch im Dialog mit dem Benutzer;
HMI; 1975;

%EhlichHaussmann70
\rhl{E}
\refJ Ehlich,  H., Haussmann, W.;
Cebysev-Approximation stetiger Funktionen in zwei Ver\"anderlichen;
\MZ;  117; 1970; 21--34;

%EhlichHaussmann70b
% carl
\rhl{E}
\refJ Ehlich, H., Haussmann, W.;
Konvergenz mehrdimensionaler Interpolation;
\NM; 15; 1970; 165--175;

%EhlichZeller66
\rhl{E}
\refJ Ehlich,  H., Zeller, K.;
Cebysev-Polynome in mehreren Ver\"anderlichen;
\MZ;  93; 1966; 142--143;

%Ehrich9xa
% carl 12mar97
\rhl{E}
\refR Ehrich, Sven;
Error bounds for linear approximations on the real line;
Hildesheimer Informatik-Berichte 13/96, ISSN 0941-3014, Institut f\"ur
   Mathematik, Universit\"at Hildesheim (Germany); 1996;

%Ehrich9xb
% carl 12mar97
\rhl{E}
\refR Erich, Sven;
Pointwise error bounds for orthogonal cardinal spline approximation;
ms; 1996;

%EidsonSchumaker74
% larry
\rhl{E}
\refJ Eidson,  H., Schumaker, L. L.;
Computation of $g-$splines via a factorization method;
\CACM; 17; 1974; 526--530;

%EidsonSchumaker76
% larry
\rhl{E}
\refR Eidson,  H., Schumaker, L. L.;
Spline solution of linear initial-and boundary-value
	   problems;
in ISNM 32, Birkh\"auser-Verlag, Basel, 67--80; 1976;

%Eirola92a
% carl
\rhl{E}
\refJ Eirola,  Timo;
Sobolev characterization of solutions of dilation equations;
\SJMA; 23; 1992; 1015--1030;

%Eisele94a
% larry
\rhl{E}
\refP Eisele, E. F.;
Best constrained approximations of planar curves by B\'ezier curves;
\ChamonixIIa; 139--146;

%Eisele94b
% .
\rhl{E}
\refJ Eisele, Eberhard F.;
Chebyshev approximation of plane curves by splines;
\JAT; 76(2); 1994; xxx--xxx;

%Eiseman80
\rhl{E}
\refR Eiseman,  P. R.;
Coordinate generation with precise controls over mesh properties;
USRA, Va.; 1980;

%EisenbudGreenHarris96
% MR97a:14059 03apr06
\rhl{}
\refJ Eisenbud, David, Green, Mark, Harris, Joe;
Cayley-Bacharach theorems and conjectures;
\BAMS (N.S.); 33(3); 1996; 295--324;
% determine minimal sets of sites that fail to impose independent conditions
% on forms of given degree.

%EisenstatJacksonLewis85
% sherm
\rhl{E}
\refJ Eisenstat,  S. C., Jackson, K. R., Lewis, J. W.;
The order of monotone piecewise cubic interpolation;
\SJNA; 22; 1985; 1220--1237;

%ElTaraziKaraballi91
% larry
\rhl{E}
\refJ El Tarazi, M. N., Karaballi, A. A.;
Direct nonperiodic and periodic cubic splines;
SERDICA; 17; 1991; 111--119;

%ElberCohen90
\rhl{E}
\refJ  Elber, G., Cohen, E.;
Hidden curve removal for free surfaces;
Computer Graphics; 24; 1990; 95--104;

%ElberCohen91a
\rhl{E}
\refR Elber,  G., Cohen, E.;
Error bounded variable distance offset operator for
	free form curves and surfaces,
Technical report No.\ 91-001; Computer Science, University of Utah;
1991;

%Elden84
\rhl{E}
\refJ Elden,  L.;
A note on the computation of the generalized cross-validation
	 function for ill-conditioned least squares problems;
\BIT; 24; 1984; xx;

%ElfvingAndersson88
% larry
\rhl{E}
\refJ Elfving,  T., Andersson, L. E.;
An algorithm for computing constrained smoothing spline functions;
\NM; 52; 1988; 583--595;

%Eliseev78
\rhl{E}
\refJ Eliseev,  G. M.;
Construction des  fonctions splines d'interpolation
	 en mo\-yenne du second degree (Russian);
Cisclen.\ Metody Mikh.\  Splosh.\ Sredy SUN; 9; 1978;  63--67;

%Elkolli99
\rhl{E}
\refR El Kolli,  A.;
$n$-ieme epaisseur dans les espaces de Sobolev;
xx; 19xx;

%ElliotPagetPhillipsTaylor80a
% shayne 26oct95
\rhl{E}
\refJ Elliot, D., Paget, D. F., Phillips, G. M., Taylor, P. J.;
Error of truncated Chebshev series and other near minimax polynomial
   approximations;
\JAT; 50; 1987; 49--57;
% another proof of the result in PhillipsTaylor82

%Elliott73a
% shayne 26oct95
\rhl{E}
\refQ Elliott, D.;
A direct method for ``almost'' best uniform approximations;
(Error approximation and accuracy),
F. R. de Hoog and C. L. Jarvis (eds.),
University of Queensland Press (Australia); 1973; 129--143;
% polynomial approximations involving the Chebyshev polynomials and the like

%Elliott93a
% carl
\rhl{E}
\refJ Elliott,  G. H.;
Least squares data fitting using shape preserving piecewise approximations;
\NA; 5; 1993; 365--371;

%ElliottPhillips91a
% shayne 5dec96
\rhl{E}
\refJ Elliott, D., Phillips, G. M.;
Improved error bounds for near--minimax approximations;
\BIT; 331; 1991; 262--275;

%ElliottTaylor91
% . 19nov95
\rhl{E}
\refJ Elliott, D., Taylor, P. J.;
Polynomial approximation errors for functions of low-order continuity;
\CA; 7; 1991; 381--387;

%EllisMcLain77
% . 20apr99
\rhl{E}
\refJ Ellis,  T. M., McLain, D. H.;
A new method of cubic curve fitting using local data;
\ACMTMS; 3; 1977; 175--178;

%ElmrothJohansson92
\rhl{E}
\refR Elmroth,  T., Johansson, B.;
Necessary and sufficient compatibility conditions between patches in regular
surfaces;
ms; 1992;

%Elsner73a
% carlrefs 20nov03
\rhl{}
\refR Elsner, Ludwig;
Ein Optimierungsproblem der Analysis;
Bericht 018, Inst.\ Angew.\ Math, U. Erlangen-N\"urnberg; 1973;
% smooth interpolant with `small' $k$-th derivative by local interpolation:
% f(t) = y_i + (\Delta y_i)h_i(t) on x_i<t<x_{i+1} , with h_i = 0 k-fold at
% x_i, = 1 k-fold at x_{i+1}, and with smallest possible D^k h_i.
% cf Favard40, Boor75b

%Elsner73b
% author 20nov03
\rhl{}
\refJ Elsner, L.;
\"Uber Birkhoff-Interpolation und Richardson-Extrapolation;
\ZAMM; 53; 1973; 57--60;
% needs result from Elsner73a

%ElsnerNeumann93
\rhl{E}
\refJ Elsner,  L., Neumann, M.;
Monotonic Sequences and Rates of Convergence of Asynchronized Iterative Methods;
\LAA; 180; 1993; 17--34;
% fractals, subdivision

%Eltom71
\rhl{E}
\refJ El Tom,  M. E. A.;
Application of spline functions to Volterra integral equations;
\JIMA; 8; 1971; 354--357;

%Engeli99
\rhl{E}
\refR Engeli,  M.;
Euklid;
xx; 19xx;

%Engels72
\rhl{E}
\refJ Engels,  H.;
Zur Anwendung kubischer Splines auf die
Richardson-Extrapolation;
Jber.\ Deutsch.\ Math.-Verein.; 74; 1972; 66--83;

%Engels72b
\rhl{E}
\refJ Engels,  H.;
Allgemeine interpolierende Splines vom Grade 3;
\C; 10; 1972;  365--374;

%Engels74
\rhl{E}
\refJ Engels,  H.;
Allgemeine interpolierende Splines dritten Grades;
\ZAMM; 54; 1974;  215--217;

%Engels74b
\rhl{E}
\refP Engels,  H.;
Ergebnissse der Anwendung kubischer Splines bei der
Richardson-Extrapolation;
\BoehmerII;  75--107;

%EngelsMerschen82
\rhl{E}
\refP Engels,  H., Merschen, B. A.;
Blending-Splines auf Dreiecksnetzen;
\MvatII; 143--149;
% earlier reference claimed page numbers 89--106

%Engert70
% pinkus 23jun03
\rhl{}
\refJ Engert, M.;
Finite dimensional translation invariant subspaces;
\PJM; 32; 1970; 333--343;

%EntezariMoller06
% peters 05mar08
\rhl{EM}
\refJ Entezari, Alireza, M\"oller, Torsten;
Extensions of the Zwart-Powell box spline for volumetric data reconstruction
   on the Cartesian lattice;
IEEE Trans.\ Visualization and Computer Graphics; 12(5); 2006; 1337--1344;

%Epperson87a
% carl
\rhl{E}
\refJ Epperson, James F.;
On the Runge example;
\AMM; 94; 1987; 329--341;
% polynomial interpolation, univariate

%Epstein76
% carl
\rhl{E}
\refJ Epstein,  M. P.;
On the influence of parametrization in parametric interpolation;
\SJNA; 13; 1976; 261--268;

%EptonDembart95
% . 24mar99
\rhl{E}
\refJ Epton, M., Dembart, B.;
Multipole translation theory for the three-dimensional Laplace and Helmholtz
   equations;
\SJSC; 16(4); 1995; 76--108;
% for thin-plate splines on $\RR^3$

%Erdelyi92
% carl
\rhl{E}
\refJ Erd\'elyi,  T.;
Weighted Markov and Bernstein type inequalities for generalized non-negative
polynomials;
\JAT; 68; 1992; 283--305;

%ErdelyiMagnusOberhettingerTricomi53a
% shayne 05feb96
\rhl{E}
\refB Erd\'elyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G.;
Higher Transcendental Functions;
McGraw-Hill (New York); 1953;
% Bateman manuscript project
% Standard reference for special functions (together with vols II,III)

%Erdos47
% . 6aug96
\rhl{E}
\refJ Erd{\H o}s, P.;
Some remarks on polynomials;
\BAMS; 53; 1947; 1169--1176;
% Erdos conjecture re optimal interpolation nodes

%Erdos61
% . 29apr97
\rhl{E}
\refJ Erd\"os, P.;
Problems and results on the theory of interpolation. II;
Acta Math.\ Acad.\ Sci.\ Hungar.; 12; 1961; 235--244;
% according to Babuska and Qi Chen, numerical calculations show that, contrary
% to conjecture in present paper, the `mean norm' $\int sum_j (\ell_j)^2$ fails
% to be minimized by the Legendre zeros. 

%ErdosTuran40
% carl 20nov03
\rhl{}
\refJ Erd\H os, P., Tur\'an, P.;
On interpolation, III. Interpolatory theory of polynomials;
\AM (2); 41; 1940; 510--553;
% The fact that, for -1\le x_0<\cdots<x_n\le 1,
% \sum_j 1/|D\omega(x_j)| \ge 2^{n-1} with eq iff \omega = (()^2-1)U_{n-1}
% appears there as part of the proof of Lemma I there.

%EschEastman67
\rhl{E}
\refR Esch,  R. E., Eastman, W. L.;
Computational methods for best approximation;
Sperry Rand; 1967;

%EschEastman68
\rhl{E}
\refR Esch,  R. E., Eastman, W. L.;
Computational methods for best approximation and associated numerical
analyses;
Sperry Rand; 1968;

%EschEastman69
% sonya
\rhl{E}
\refJ Esch,  R. E., Eastman, W. L.;
Computational methods for best spline function approximation;
\JAT; 2; 1969; 85--96;

%EspelidGenz92a
% shayne 26oct95
\ifx\NInt\undefined\else{
\rhl{E}
\refproc (Numerical Integration),
T. O. Espelid and A. Genz (eds.),
NATO ASI Ser.\ C, Vol.\ 357, Kluwer (Dordrecht);
1992;
}\fi

%Eubank84
\rhl{E}
\refJ Eubank,  R. L.;
The hat matrix for smoothing splines;
Stat.\  Prob.\  Lett.; 2; 1984;  9--14;

%Eubank84b
% sonya
\rhl{E}
\refJ Eubank,  R. L.;
On the relationship between functions with the same
   optimal knots in spline and piecewise polynomial  approximation;
\JAT; 40; 1984;  327--332;

%Eubanks91
\rhl{E}
\refD Eubanks,  D. A.;
Wavelet transforms with translation parameters on $\ZZ$ and $\RR$;
Southern Illinois Univ., Carbondale; 1991;

%Euler44a
\rhl{E}
\refJ Euler,  L.;
Additamentum: De curvis elasticis;
Methodus inveniendi
 lineas curvas maximi minimive proprietate gaudentes, Ser.\ 1; 24;
 1744; xxx;

%Ewald90
\rhl{E}
\refR Ewald,  S.;
Splinegl\"attung unter Ber\"ucksichtigung von Interpolationsbedingungen;
Techn.\ Univ.\ Dresden; 1990;

%EwaldMuhligMulanskyxx
\rhl{E}
\refR Ewald, S., M\"uhlig, H., Mulansky, B.;
Bivariate interpolating and smoothing tensor produce splines;
proceedings 55--68; 19xx;

%EwingFawkesGriffiths70
\rhl{E}
\refJ Ewing,  D. J. E., Fawkes, A. J., Griffiths, J. R.;
Rules governing the numbers of nodes and elements in a finite element
mesh;
Internat.\ J.\ Numer.\ Meth.\ Engr.; 2; 1970; 597--600;

%Eyre84
\rhl{E}
\refJ Eyre,  D.;
Splines and a three-body separable expansion for scattering problems;
\JCP; 56; 1984; 149--164;

%Eyre87
\rhl{E}
\refJ Eyre,  D.;
Solving three-body integral equations with blending functions;
\JCP; 73; 1987; 447--460;

%EyreWrightReuter88
\rhl{E}
\refJ Eyre,  D., Wright, C. J., Reuter, G.;
Spline-collocation with adaptive mesh grading for solving the stochastic
collection equations;
\JCP; 78; 1988; 288--304;

%Ezrohi57a
% . 26oct95 5dec96
\rhl{E}
\refJ \`Ezrohi, I. A.;
General forms of the remainder terms of linear formul{\ae} in multidimensional
   approximate analysis II (in Russian);
\MS; 43(85); 1957; 9--28;