%Aasen71
% larry
\rhl{A}
\refJ Aasen,  J. O.;
On the reduction of a symmetric matrix to tridiagonal form;
\BIT; 11; 1971; 233--242;

%Abel95a
% shayne 5dec96
\rhl{A}
\refJ Abel, U.;
The moments for the Meyer--K\"onig and Zeller operators;
\JAT; 82; 1995; 3352--361;

%AbhyankarBajaj87a
% carl
\rhl{A}
\refJ Abhyankar, Shreeram, Bajaj, Chanderjit;
Automatic parametrization of rational
   curves and surfaces II: Cubics and cubicoids;
\CAD; 19(9); 1987; 499--502;
% computer-aided design, geometry.

%Abilov96
% carl 12mar97
\rhl{A}
\refJ Abilov, V. A.;
On the best approximation of functions of many variables by algebraic
   polynomials;
\EJA; 2(4); 1996; 477--497;
% uses powers of the difference operator $\Delta_h$ defined by
% $(\Delta_h f)(x) = f_h(x) - f(x)$, with $f\mapsto f_h$ some averaging
% operator, such as 
% f_h(x) = \int_{\RR^d} f(x\sqrt{1-h^2} + ht)/prod_i\exp(-x_i^2) dt /\pi^{d/2}
% to define a multivariate modulus of smoothness in the otherwise standard
% way, and then characterizes $L_2$-distance from 
% $P_{n,m} := \span(()^\alpha: \sum_i (\alpha_i)^m\le n^m + m-2 )$
% with m=1 or 2, as a function of  n .

%AbouirCuyt93
% carl
\rhl{A}
\refJ Abouir, J., Cuyt, A.;
Multivariate partial Newton-Pad\'e and Newton-Pad\'e type approximants;
\JAT; 72; 1993; 301--316;
% multivariate polynomial interpolation

%Abraham85
% sonya
\rhl{A}
\refJ Abraham,  V.;
On the existence and uniqueness of $M$-splines;
\JAT; 43; 1985; 36--42;

%Abramovici85
\rhl{A}
\refJ Abramovici,  F.;
The Shepard interpolation as the best average of a set of data;
\JCAM; xx; xx; xx;

%AbramowitzStegun70
\rhl{A}
\refB Abramowitz,  M., Stegun, I. A.;
Handbook of Mathematical Functions; 
Dover Publications (xxx); 1970;

%Achieser56
% larry
\rhl{A}
\refB Achieser,  N. I.;
Theory of Approximation;
Ungar (New York); 1956;

%Ackland15
\rhl{A}
\refJ Ackland,  T.  G.;
On osculatory interpolation where the value of the functions are at
 unequal intervals;
JIA???; 49; 1915; 369--675;

%AdamMH95a
% carl 21feb96
\rhl{A}
\refD Adam, Martin Hansj\"org;
Bivariate Spline-Interpolation auf Crosscut-Partitionen;
Universit\"at Mannheim (Germany); 1995;

%Adams75
% shayne 26oct95
\rhl{A}
\refB Adams, R. A.;
Sobolev Spaces;
Academic Press (New York); 1975;

%Agarwal83a
% 26oct95
\rhl{A}
\refQ Agarwal, R. P.;
Some inequalities for a function having $n$ zeros;
(International series of numerical mathematics, vol.64), E.F. Beckenbach and W.
Walter (eds.),
Birkh\"auser Verlag (Berlin?); 1983; 371--378;

%Agarwal91a
% shayne  26oct95
\rhl{A}
\refJ Agarwal, R. P.;
Better error estimates in polynomial interpolation;
\JMAA; 161; 1991; 241--257;
% L_p-error bounds for Hermite interpolation obtained from Beesack's inequality
% The results there are special cases of my 'basic estimate' (see ...)

%AgarwalWong93a
% shayne  26oct95
\rhl{A}
\refB Agarwal, R. P., Wong, P. J. Y.;
Error inequalities in polynomial interpolation and their applications;
Kluwer Academic Publishers (Dordrecht); 1993;
% a book consisting mostly of papers of Agarwal and collaborators
% many of the main results are special cases of others, and have been improved
% upon since its publication
% 6 Chapters
% Lidstone interpolation
% Hermite interpolation
% Abel-Gontscharoff interpolation
% micellaneous interpolation
% piecewise-polynomial interpolation
% spline interpolation

%AgawaKidaArioka79
% . 07may96
\rhl{A}
\refJ Agawa, Shiro, Kida, S., Arioka, S.;
On some conditions for polynomial interpolation;
Math.\ Japon.; 24; 1979/80; 627--634;

%Ahlberg69
% larry
\rhl{A}
\refP Ahlberg,  J.  H.;
Splines in the complex plane;
\MadisonII; 1--27;

%Ahlberg70
\rhl{A}
\refQ Ahlberg,  J.  H.;
Spline approximation and computer-aided design;
(Alt and Rubinoff [1970]), xxx (ed.), xxx (xxx); 1970; 275--289;

%Ahlberg71
\rhl{A}
\refQ Ahlberg,  J.  H.;
The spline approximate as an engineering tool;
(Computer Aided Engineering), xxx (ed.),  Waterloo (Ontario); 1971; 1--18;

%Ahlberg72
% sonya
\rhl{A}
\refJ Ahlberg,  J.  H.;
Cardinal splines of odd degree on uniform meshes;
\JAT; 5; 1972; 428--437;

%AhlbergNilson65
% carl
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N.;
Orthogonality properties of spline functions;
\JMAA; 11; 1965; 321--337;

%AhlbergNilson66
% carl
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N.;
The approximation of linear functionals;
\SJNA; 3; 1966; 173--182;

%AhlbergNilson69
\rhl{A}
\refR Ahlberg,  J.  H., Nilson, E.  N.;
Existence of complex polynomial splines on fine uniform meshes;
Brown; 1969;

%AhlbergNilson70
% sonya
\rhl{A}
\refJ Ahlberg,  J.  H., Nilson, E.  N.;
Polynomial splines on the real line;
\JAT; 3; 1970; 398--409;

%AhlbergNilson72
% sonya
\rhl{A}
\refJ Ahlberg,  J.  H., Nilson, E.  N.;
Cardinal splines of odd degree on uniform meshes;
\JAT; 5; 1972;  428--437;

%AhlbergNilsonWalsh63
% carl
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Convergence properties of the spline fit;
\JSIAM; 11; 1963; 95--104;

%AhlbergNilsonWalsh64
% larry
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Fundamental properties of generalized splines;
\PNAS; 52; 1964; 1412--1419;

%AhlbergNilsonWalsh65a
% carl
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Extremal, orthogonality, and convergence properties of multidimensional
splines;
\JMAA; 12; 1965; 27--48;
% Abstr.\ 64T-339, AMS Notices (p.468)

%AhlbergNilsonWalsh65b
% carl
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Best approximation and convergence properties of higher-order spline
approximation;
\JMM; 14; 1965; 231--243;

%AhlbergNilsonWalsh65c
% carl
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Convergence properties of generalized splines;
\PNAS; 54; 1965; 344--350;

%AhlbergNilsonWalsh67
% larry
\rhl{A}
\refB Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
The Theory of Splines and Their Applications;
Academic Press (New York); 1967;

%AhlbergNilsonWalsh67b
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Complex cubic splines;
\TAMS; 129; 1967; 391--413;

%AhlbergNilsonWalsh68
% sonya
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Cubic splines on the real line;
\JAT; 1; 1968; 5--10;

%AhlbergNilsonWalsh69
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Properties of analytic splines I: complex polynomial splines;
\JMAA; 27; 1969; 262--278;

%AhlbergNilsonWalsh71b
\rhl{A}
\refJ Ahlberg,  J. H., Nilson, E. N., Walsh, J. L.;
Complex polynomial splines on the unit circle;
\JMAA; 33; 1971; 234--257;

%AhlbergNilsonWilliams69
\rhl{A}
\refR Ahlberg,  J. H., Nilson, E. N., Williams, J. N.;
Cardinal splines and plane curves;
Brown Univ; 1969;

%AhlbergNilsonWilliams70
\rhl{A}
\refR Ahlberg,  J. H, Nilson, E. N., Williams, J. N.;
The representation of curves and surfaces;
Brown Univ.; 1970;

%Ahlin64
% carl
\rhl{A}
\refJ Ahlin, A. C.;
A bivariate generalization of Hermite's interpolation formula;
\MC; 18(86); 1964; 264--273;

%Ahuja68
\rhl{A}
\refJ Ahuja,  D.  V.;
An algorithm for generating spline-like curves;
\IBMJR;  7; 1968;  206--217;

%AhujaCoons68
\rhl{A}
\refJ Ahuja,  D. V., Coons, S. A.;
Geometry for construction and display;
\IBMJR; 7; 1968; 188--205;

%AhujaCoons68b
% something wrong here; same pages as preceding ref.
\rhl{A}
\refJ Ahuja,  D.  V., Coons, S. A.;
Interactive graphics in data processing,  Geometry for construction and
display;
\IBMJR;  7; 1968; 188--205;

%AitbayevBialecki00
% author 23jun03
\rhl{}
\refJ aitbayev, A., Bialecki, B.;
Orthogonal spline collocation for nonlinear elliptic Dirichlet problems;
\SJNA; 38; 2000; 1582--1602;

%Aitken29a
% Curry51
\rhl{}
\refJ Aitken, A. C.;
A general formula of polynomial interpolation;
\PEMS  - 2nd ser.; 1; 1929; 199--203;

%Aitken30a
% Curry51
\rhl{}
\refJ Aitken, A. C.;
On generalization of formulas for polynomial interpolation;
J. Inst.\ Actuaries; 61; 1930; 107--112;

%Aitken32
% carl 21jan02
\rhl{}
\refJ Aitken, A. C.;
On interpolation by iteration of proportional parts, without the use of
   differences;
\PEMS; 3; 1932; 56--76;
% Aitken-Neville algorithm for polynomial interpolation

%Aitken39
% . 20nov03
\rhl{}
\refB Aitken, A. C.;
Determinants and Matrices;
Oliver \& Boyd (Edinburgh); 1939;
% Ninth edition, reset and reprinted in 1967
% Fourth edition, revised in 1946, reprinted in 1983 by Greenwood Press (Westport CT)

%Akhiezer55
% carl 02feb01
\rhl{}
\refB Akhiezer, N. I.;
The Academician S. N. Bernstein and his papers concerning constructive
   function theory (in Russian);
Kharkov University (Kharkov, Soviet Union); 1955;
% translation into German: Akhiezer55a

%Akhiezer55a
% carl 02feb01
\rhl{}
\refB Akhieser, N. I.;
Das Akademiemidglied S.N. Bernstein und seine Arbeiten zur konstruktiven
   Funktionentheorie;
Mitteilungen aus dem Mathem.\ Seminar Giessen (Giessen, Germany); 2000;
% translation of Akhiezer55

%Akhiezer65
\rhl{A}
\refB Akhiezer,  N. I.;
The Classical Moment Problem;
Hafner Publishing Co. (New York); 1965;

%Akhiezer92
% carl
\rhl{A}
\refB Akhiezer,  N. I.;
Theory of Approximation (1956 edition);
Dover (Mineola, NJ); 1992;

%AkhiezerGlazman93a
% shayne
\rhl{}
\refB Akhiezer, N. I., Glazman, I. M.;
Theory of linear operators in Hilbert space (Chapter VI to Appendix II);
Dover (New York); 1993;
% Shows every tight frame is the orthogonal projection of
% an orthonormal basis, a result due to Naimark from 1940 and detailed
% here in Appendix I. The Russian original appeared 1950. A good German 
% translation appeared in the Akademie-Verlag (Berlin): 1954:

%Akima70
% carl
\rhl{A}
\refJ Akima,  H.;
A new method of interpolation and smooth curve fitting based on local
procedures;
\JACM;	17; 1970; 589--602;

%Akima72
\rhl{A}
\refJ Akima,  H.;
Algorithm 433: interpolation and smooth curve fitting based on local
procedures;
\CACM;	15; 1972; 914--915;

%Akima74
\rhl{A}
\refJ Akima,  H.;
Bivariate interpolation and smooth surface fitting based on local
 procedures;
\CACM; 17; 1974; 26--31;

%Akima74b
\rhl{A}
\refJ Akima,  H.;
A method of bivariate interpolation and smooth surface fitting based
on local procedures;
\CACM; 17; 1974; 18--20;

%Akima75
\rhl{A}
\refJ Akima,  H.;
Comments on `optimal contour mapping using universal Kriging' by
Ricardo A. Olea;
{J. Geophy.\ Res.}; 80; 1975; 832--836;

%Akima78
\rhl{A}
\refJ Akima,  H.;
Algorithm 526: bivariate interpolation and smooth fitting for
irregularly distributed data points;
\ACMTMS; 4; 1978; 160--164;

%Akima78b
\rhl{A}
\refJ Akima,  H.;
A method of bivariate interpolation and smooth surface fitting
 for irregularly distributed data points;
\ACMTMS; 4; 1978; 144--159;

%Akima84b
% larry
\rhl{A}
\refJ Akima,  H.;
On estimating partial derivatives for bivariate interpolation of scattered
data;
\RMJM; 14; 1984; 41--52;

%Akima86
\rhl{A}
\refR Akima,  H.;
A method of univariate interpolation that has the accuracy of a
third-degree polynomial;
NTIA Rpt.\ 86-208; 1986;

%Akimova71
\rhl{A}
\refJ Akimova,  I. N.;
Numerical methods using piecewise functions for the approximation
of functions of two variables;
Trudy Mosk.\ Aviat.\ Inst.; 232; 1971; 23--60;

%AkinGrayZhang84
\rhl{A}
\refJ Akin,  J. E., Gray, W. H., Zhang, Q. D.;
Colouring isoparametric contours;
Eng.\ Comput.; 1; 1984; 36--41;

%AklToussaint78
\rhl{A}
\refJ Akl,  S. G., Toussaint, G. T.;
A fast convex Hull algorithm;
Information Processing Letters; 7; 1978; 219--222;

%AlayliogluEyreBranniganSvenne86
\rhl{A}
\refJ Alaylioglu,  A., Eyre, D., Brannigan, M., Svenne, J. P.;
Spline-Galerkin solution of integral equations for three-body scattering above
breakup;
\JCP; 62; 1986; 383--399;

%AlayliogluLubinskyEyre84
\rhl{A}
\refJ Alaylioglu,  A., Lubinsky, D. S., Eyre, D.;
Product integration of logarithmic singular integrands based on cubic splines;
\JCAM; 11; 1984; 353--366;

%AlbasinyHoskins69
% . 26aug98
\rhl{A}
\refJ Albasiny,  E.  L., Hoskins, W.  D.;
Cubic spline solutions to two-point boundary value problems;
\CJ; 12; 1969; 151--153;
% second-order linear ODE BVP solved by collocation at (uniform) knot
% sequence, making use of the standard formula relating values and second
% derivatives of a cubic spline at knots. Special case of Collatz'
% Mehrstellenverfahren.

%AlbasinyHoskins71
\rhl{A}
\refJ Albasiny,  E.  L., Hoskins, W.  D.;
The numerical calculation of odd-degree polynomial splines with
equispaced knots;
\JIMA;	7; 1971; 384--397;

%AlbasinyHoskins73
\rhl{A}
\refJ Albasiny,  E.  L., Hoskins, W.  D.;
Explicit error bounds for periodic splines of odd order on a uniform
mesh;
\JIMA;	12; 1973; 303--318;

%AlboulDamme96
% Ruud van Damme 26aug98
\rhl{A}
\refQ Alboul, L., Damme, R. van;
Polyhedral metrics in surface reconstruction;
(The Mathematics of Surfaces VI), G. Mullineux (ed.),
Clarendon Press (Oxford, UK); 1996; 171--200;

%AlboulDamme97
% Ruud van Damme 26aug98
\rhl{A}
\refQ Alboul, L.,  Damme, R. van;
Polyhedral metrics in surface reconstruction: 
   tight triangulations;
(The Mathematics of Surfaces VII), T.N.T. Goodman (ed.),
Clarendon Press (Oxford, UK); 1997; 309--336;

%Albrecht99
% carlrefs 20nov03
\rhl{}
\refB Albrecht, Gudrun;
Rational Triangular B\'ezier Surfaces -- Theory and Applications;
Habilitationsschrift, TU M\"unchen, Shaker Verlag (Aachen); 1999;

%Aleksandrov60a
\rhl{A}
\refB Aleksandrov,  P. S.;
Combinatorial Topology, Vol.\ 3;
Graylock Press (Albany, NY); 1960;

%AlexievKounchevRender04
% carlref 03apr06
\rhl{}
\refP Alexiev, K., Kounchev, O., Render, H.;
Stable recurrence relations for a class of $L$-splines and for polysplines;
\Seattle; 1--12;

%Alfeld00
% LLS 06 Lai-Schumaker book
\rhl{Alf00}
\refJ Alfeld, P.;
Bivariate splines and minimal determining sets;
\JCAM; 119; 2000; 13--27;

%Alfeld84a
% peter
\rhl{A}
\refJ Alfeld,  P.;
A trivariate Clough-Tocher scheme for tetrahedral data;
\CAGD; 1; 1984; 169--181;

%Alfeld84c
% peter
\rhl{A}
\refJ Alfeld,  P.;
A discrete $C^1$ interpolant for tetrahedral data;
\RMJM; 14; 1984; 5--16;

%Alfeld84d
% peter
\rhl{A}
\refJ Alfeld,  P.;
A bivariate $C^2$ Clough-Tocher scheme;
\CAGD; 1; 1984; 257--267;

%Alfeld85a
% peter
\rhl{A}
\refJ Alfeld,  P.;
Multivariate perpendicular interpolation;
\SJNA; 22; 1985; 95--106;

%Alfeld85c
% peter
\rhl{A}
\refJ Alfeld,  P.;
Derivative generation from multivariate scattered data by functional
minimization;
\CAGD; 2; 1985; 281--296;

%Alfeld86a
% peter
\rhl{A}
\refP Alfeld,  P.;
Trivariate adaptive cubature;
\TexasV; 231--234;

%Alfeld86b
% peter
\rhl{A}
\refP Alfeld,  P.;
On the dimension of multivariate piecewise polynomials;
\Griffithseisi; 1--23;

%Alfeld87a
% peter, carl
\rhl{A}
\refP Alfeld,  P.;
A case study of multivariate piecewise polynomials;
\Troy; 149--160;

%Alfeld89a
% peter
\rhl{A}
\refP Alfeld,  P.;
Scattered data interpolation in three or more variables;
\Oslo; 1--33;

%Alfeld93
% carl
\rhl{A}
\refR Alfeld,  P.;
Upper and lower bounds on the dimension of multivariate spline spaces;
to appear in \SJNA; 1993;

%Alfeld96
% LLS Lai-Schumaker book
\rhl{Alf96}
\refJ Alfeld, P.;
Upper and lower bounds on the dimension of multivariate spline spaces;
\SJNA; 33; 1996; 571--588;

%AlfeldEyre91a
% peter
\rhl{A}
\refJ Alfeld,  P., Eyre, D.;
Algorithm 701, Goliath{}, A software system for
the exact analysis of rectangular rank-deficient sparse rational
linear systems;
ACM TOMS; 17; 1991; 519--532;

%AlfeldEyre91b
% peter
\rhl{A}
\refJ Alfeld,  P., Eyre, D.;
The exact analysis of sparse
rectangular linear systems;
ACM TOMS; 17; 1991; 502--518;

%AlfeldEyreSchumaker89
% peter
\rhl{A}
\refP Alfeld,  P., Eyre, D., Schumaker, L. L.;
Machine-Aided Investigation of Multivariate Spline Spaces;
\Chile; 1--4;

%AlfeldHarris84
% peter
\rhl{A}
\refR Alfeld,  P., Harris, B.;
{\bf MICROSCOPE:} A Software System for Multivariate Analysis;
MRC Technical Summary Report \#2701,
Mathematics Research Center, University of Wisconsin--Madison,
plus a portable {\bf FORTRAN} software package of approximately 6000
lines of code, available from {\sl netlib@anl-mcs.arpa}; 1984;

%AlfeldHarris84
\rhl{A}
\refR Alfeld, P., Harris, B.;
User's manual for MICROSCOPE: A software system for multivariate analysis;
Department of Mathematics, University of Utah; 1984;

%AlfeldNeamtuSchumaker95
% carl 26aug98
\rhl{A}
\refP Alfeld, Peter, Neamtu, Marian, Schumaker, Larry L.;
Circular Bernstein-B\'ezier polynomials;
\Ulvik; 11--20;

%AlfeldNeamtuSchumaker96a
% carl 26aug98
\rhl{A}
\refJ Alfeld, Peter, Neamtu, Marian, Schumaker, Larry L.;
Dimension and local bases of homogeneous spline spaces;
\SJMA; 27(5); 1996; 1482--1501;
% ms, dec; 1994;

%AlfeldNeamtuSchumaker96b
% carl 26aug98
\rhl{A}
\refJ Alfeld, Peter, Neamtu, Marian, Schumaker, Larry L.;
Fitting scattered data on sphere-like surfaces using spherical splines;
\JCAM; 73; 1996; 5--43;

%AlfeldNeamtuSchumaker96c
\rhl{}
% larry
\refJ Alfeld, Peter, Neamtu, Marian, Schumaker, Larry L.;
Bernstein--B\'ezier polynomials on spheres and
sphere--like surfaces;
\CAGD; 13; 1996; 333--349;

%AlfeldPiperSchumaker87a
% peter
\rhl{A}
\refJ Alfeld,  P., Piper, B., Schumaker, L. L.;
Spaces of bivariate splines on triangulations with holes;
\JATA; 3; 1987; 1--10;

%AlfeldPiperSchumaker87b
% peter
\rhl{A}
\refJ Alfeld,  P., Piper, B., Schumaker, L. L.;
Minimally supported bases for spaces of bivariate piecewise
polynomials of smoothness $r$ and degree $d\ge 4r+1$;
\CAGD; 4; 1987; 105--123;

%AlfeldPiperSchumaker87c
% larry
\rhl{A}
\refJ Alfeld,  P., Piper, B., Schumaker, L. L.;
An explicit basis for $C^1$ quartic bivariate splines;
\SJNA; 24; 1987; 891--911;

%AlfeldSchumaker00
% carl 20apr00
\rhl{A}
\refJ Alfeld,  P., Schumaker, L. L.;
Nonexistence of star-supported spline bases;
\SJMA; 31(2); 2000; 455--465;

%AlfeldSchumaker02a
% steve mann 26sep02
\rhl{AS}
\refJ Alfeld,  P., Schumaker, L. L.;
Smooth macro-elements based on Clough-Tocher triangle splits;
\NM; 90; 2002; 597--616;

%AlfeldSchumaker02b
% larry 21jan02 23jun03
\rhl{AS02}
\refR Alfeld,  P., Schumaker, L. L.;
Smooth macro-elements based on Powell-Sabin triangle splits;
\AiCM; 16; 2002; 29--46;

%AlfeldSchumaker03
% larry 23jun03
\rhl{AL}
\refJ Alfeld, P., Schumaker, L. L.;
Upper and lower bounds on the dimension of superspline spaces;
\CA; 19; 2003; 145--161;

%AlfeldSchumaker05a
% lls Lai-Schumaker book
\rhl{AlfS05a}  %SWITCHED
\refJ Alfeld, P.,  Schumaker, L. L.;
A $C^2$ trivariate macro-element based on the Clough--Tocher split
of a tetrahedron; \CAGD; 22; 2005; 710--721;

%AlfeldSchumaker05b
% lls Lai-Schumaker book
\rhl{AlfS05b}
\refP Alfeld, P., Schumaker, L. L.;
A $C^2$ trivariate double-Clough--Tocher macro-element;
\TexasXI; 1--14;

%AlfeldSchumaker05c
% lls Lai-Schumaker book
\rhl{AlfS05c}
\refJ Alfeld, P., Schumaker, L. L.;
A $C^2$ trivariate macro-element based on the Worsey-Farin
   split of a tetrahedron;
\SJNA; 43; 2005; 1750--1765;

%AlfeldSchumaker06
% lls Lai-Schumaker book
\rhl{AlfS06}
\refR Alfeld, P., Schumaker, L. L.;
Bounds on the dimension of trivariate spline spaces;
manuscript; 2006;

%AlfeldSchumaker87d
% peter
\rhl{A}
\refJ Alfeld,  P., Schumaker, L. L.;
The dimension of bivariate spline spaces of smoothness $r$ for
degree $d \ge 4r+1$;
\CA; 3; 1987; 189--197;

%AlfeldSchumaker90
% peter
\rhl{A}
\refJ Alfeld,  P., Schumaker, L. L.;
On the dimension of bivariate splines spaces of smoothness
$r$ and degree $d = 3r+1$;
\NM; 57; 1990; 651--661;

%AlfeldSchumakerSirvent92
% larry
\rhl{A}
\refJ Alfeld,  P., Schumaker, L. L., Sirvent, M.;
On dimension and existence of local bases for multivariate spline spaces;
\JAT; 70; 1992; 243--264;

%AlfeldSchumakerWhiteley93
% peter
% sherm, update of volume and page numbers
\rhl{A}
\refJ Alfeld,  P.,  Schumaker, L.L., Whiteley, W.;
The generic dimension of the space of $C^1$ splines of degree $d\ge 8$ on
tetrahedral decompositions;
\SJNA; 30(3); 1993; 889--920;

%AlfeldSirvent89
% peter
\rhl{A}
\refP Alfeld,  P., Sirvent, M.;
A recursion formula for the dimension of super spline spaces of
smoothness $r$ and degree $d > r2^k$;
\MvatIV; 1--8;

%AlfeldSirvent91
% peter, carl
\rhl{A}
\refJ Alfeld, Peter, Sirvent, Maritza;
The structure of multivariate superspline spaces of high degree;
\MC; 57(195); 1991; 299--308;

%Alkemade84a
% shayne 5dec96
\rhl{A}
\refJ Alkemade, J. A. H.;
The second moment for the Meyer--K\"onig and Zeller operators;
\JAT; 40; 1984; 261--273;

%AllasiaBesenghi94
% larry
\rhl{A}
\refP Allasia, G., Besenghi, R.;
Properties of interpolating means with exponential-type weights;
\ChamonixIIa; 1--8;

%AllasiaBesenghiDemichelis88
\rhl{A}
\refR Allasia,  G., Besenghi, R., Demichelis, V.;
Weighted arithmetic means possossing the interpolation property;
xxx, 203--216; 1988;

%AllenD74
% wahba 20apr00
\rhl{A}
\refJ Allen, D.;
The relationship between variable selection and data augmentation and a
   method for prediction;
Technometrics; 16; 1974; 125--127;
% according to Wahba90a, first paper on OCV=Ordinary Cross Validation, in 
% regression.

%AllenJE74
\rhl{A}
\refR Allen, J. E.;
A generalization of splines;
PAMS \#558; 1974;

%AllenMetcalfe99
\rhl{A}
\refR Allen, R. W., Metcalfe, J. G.;
Integration of absolute amplitude from a decibel B-spline fit;
Plessey Research Caswell Ltd.; xx;

%AllgowerGeorgMiranda93a
% shayne 26oct95
\ifx\SymmI\undefined\else{
\rhl{A}
\refproc (Exploiting Symmetry in Applied and Numerical Analysis),
E. L. Allgower, K. Georg, and R. Miranda (eds.),
Lectures in Applied Math.\ 29, AMS (Providence);
1993;
}\fi
% 1992 AMS-SIAM Summer Seminar in Applied Mathematics July 26-August 1, 1992

%AlonsoGascaPena97
% larry 10sep99
\rhl{AGP}
\refP Alonso, P., Gasca, M., Pe\~na, J. M.;
Scaled pivoting and error bounds for totally positive linear systems;
\ChamonixIIIb; 9--16;

%AlpayDubi04
% . 06jun04
\rhl{}
\refJ Alpay, D., Dubi, C.;
Caratheodory Fejer interpolation in the ball with mixed derivatives;
\LAA; 382; 2004; 117--133;

%Alpert93a
% .
\rhl{A}
\refJ Alpert, B. K.;
A class of bases in $L^2$ for the sparse representation of integral operators;
\SJMA; 24; 1993; 246--262;
% wavelets

%AlpertBeylkinCoifmanRokhlin93
% sherm, update of volume and page numbers
\rhl{A}
\refJ Alpert,  B., Beylkin, G., Coifman, R., Rokhlin, V.;
Wavelet-like bases for the fast solution of second-kind integral
equations;
\SJSC; 14(1); 1993; 159--184;

%AltomareCampiti94
% shayne 29apr97
\rhl{A}
\refB Altomare, F., Campiti, M.;
Korovkin--type Approximation Theory and its Applications;
Walter de Gruyter \& Co.{} (Berlin); 1994;
% Appendix A by Michael Pannenberg and Appendix B by Ferdinand Beckhoff
% de Gruyter Studies in Mathematics, 17
% xii+627 pp. IS

%AmirZiegler76
% shayne  19nov95
\rhl{A}
\refJ Amir, D., Ziegler, Z.;
Polynomials of extremal $L_p$-norm on the $L_\infty$-unit sphere;
\JAT; 18; 1976; 86--98;

%AmmarGraggReichel92
% carl
\rhl{A}
\refJ Ammar,  G. S., Gragg, W. B., Reichel, L.;
Downdating of Szeg\"o polynomials and data-fitting applications;
\LAA; 172; 1992; 315--336;

%Amodei97
% larry 10sep99
\rhl{A}
\rhl{A}
\refP Amodei, L.;
Reproducing kernels of vector-valued function spaces;
\ChamonixIIIb; 17--26;

%AmodeiBenbourhim91
% carl
\rhl{A}
\refP Amodei,  L., Benbourhim, M. N.;
A vector spline approximation with application to meteorology;
\ChamonixI; 5--10;
% variational approach

%AmodeiBenbourhim91b
% author 19nov95
\rhl{A}
\refJ Amodei,  L., Benbourhim, M. N.;
A vector spline approximation;
\JAT; 67(1); 1991; 51--72;
% variational approach

%AmodeiBenbourhimGonzalezCasanova9x
%  19nov95
\rhl{A}
\refR Amodei,  L., Benbourhim, M. N., Gonzalez-Casanova, P.;
Quasi-interpolant elastic manifolds;
report; 1995;
% variational approach

%AmosSlater69
\rhl{A}
\refJ Amos,  D.  E., Slater, M. L.;
Polynomial and spline approximation by quadratic programming;
\CACM; 12; 1969; 379--381;

%Ampere26
% carl 23jun03
\rhl{A}
\refJ Amp\`ere, Andr\'e-Marie;
Essai sur un noveau mode d'exposition des principes du calcul diff\'erentiel,
   du calcul aux diff\'erences et de l'interpolation des suites,
    consid\'er\'ees comme d\'erivant d'un source commune;
Annals de mathematicques pures et appliqu\'ees de Gergonne (Paris, Bachelier,
   in $4^o$); 16; 1826; 329--349;
% divided differences alias fonctions interpolaires

%Amunrud68
\rhl{A}
\refD Amunrud,  L. R.;
Tchebycheff approximations by general spline functions;
Montana State Univ.; 1968;

%Anastassiou99
\rhl{A}
\refR Anastassiou, G.;
Spline monotone approximation with linear differential operators;
Report 87-12; xx;

%AnastassiouYu99
\rhl{A}
\refR Anastassiou,  G. A., Yu, X. M.;
Monotone and probabilistic wavelet approximation;
Memphis State Univ.; 1999;

%AnastassiouYu99b
\rhl{A}
\refR Anastassiou,  G. A., Yu, X. M.;
Convex and coconvex-probabilistic wavelet approximation;
Memphis State Univ.; 1999;

%Ancona86
% shayne 10nov97
\rhl{A}
\refJ Ancona, A.;
On strong barriers and an inequality of Hardy for domains in $\Rn$;
\JLMS; 34; 1986; 274--290;

%Anderson71
% larry
\rhl{A}
\refR Anderson, T. E.;
On best spline approximation;
Master's Thesis, University of Texas at Austin; 1971;

%Anderson82
\rhl{A}
\refR Anderson, D. P.;
Hidden line elimination in projected grid surfaces;
University of Wisconsin-Madison, Mathematics Research Center, Technical
Summary Report \#2447; 1982;

%AndersonBjork73a
\rhl{A}
\refJ Anderson,  N., Bj\"ork, A.;
A new high order method of Regula Falsi type for computing the root
of an equation;
\BIT;  13; 1973; 253--264;

%AndersonCoxHarbourMason94
% larry
\rhl{A}
\refP Anderson, I. J., Cox, M. G., Harbour, S., Mason, J. C.;
Implementation on a shared memory parallel computer of algorithms
for approximating data on a family of parallel lines;
\ChamonixIIb; 11--20;

%AndersonCoxMason93
% carl
\rhl{A}
\refJ Anderson,  I. J., Cox, M. G., Mason, J. C.;
Tensor-product spline interpolation to data on or near a family of lines;
\NA; 5; 1993; 193--204;

%AndersonElfving87
% . 26sep02
\rhl{AE}
\refJ Anderson, L.-E., Elfving, T.;
An algorithm for constrained interpolation;
\SJSSC; 8; 1987; 1012--1025;

%AndersonElfving95
% . 26sep02
\rhl{AE}
\refJ Anderson, L.-E., Elfving, T.;
Best constrained approximations in Hilbert space and interpolation by cubic
   splines subject to obstacles;
\SJSSC; 16; 1995; 1209--1232;

%AndersonErdosPinkusShisha85
% author
\rhl{A}
\refJ Anderson, J. M., Erd\"os, P., Pinkus, A., Shisha, O.;
The closed linear span of $\{x^k-c_k\}_1^\infty$;
\JAT; 43; 1985; 75--80;

%AndersonK78
\rhl{A}
\refJ Anderson,  K. R.;
A reevaluation of an efficient algorithm for determining the convex
hull of a finite planar set;
Information Processing Letters; 7; 1978; 53--55;

%AndersonKArdillMoriartyBeckwith79
\rhl{A}
\refJ Anderson,  J., Ardill, R. W., Moriarty, K. J., Beckwith, R. C.;
A cubic spline interpolation of unequally spaced data points;
CPC???; 16; 1979; 199--206;

%AndersonMasonRoss00
% larry 20apr00
\rhl{}
\refP Anderson, Iain J., Mason, John C., Ross, Colin;
Extending Lawson's algorithm to include the Huber M-estimator;
\Stmalof; 1--8;

%AnderssenHoogWahlbin89
\rhl{A}
\refR Anderssen,  R. S., Hoog, F. R. de, Wahlbin, L. B.;
On pointwise stability of cubic smoothing splines with nonuniform sampling 
points;
Report CMA-R10-89, Australian National Univ., Canberra; 1989;

%AnderssonAnderssonBomanElmrothDahlbergJohansson87
% sherm, update of page numbers
\rhl{A}
\refP Andersson,  E., Andersson, R., Boman, M., Elmroth, T., Dahlberg, B.,
   Johansson, B.;
The automatic generation of convex surfaces;
\SurfacesII; 427--445;

%AnderssonAnderssonBomanElmrothDahlbergJohansson88
% sherm, update of title and page numbers, carl
\rhl{A}
\refJ Andersson, E., Andersson, R., Boman, M., Elmroth, T., Dahlberg, B.,
   Johansson, B.;
Automatic construction of surfaces with prescribed shape;
\CAD; 20(6); 1988; 317--324;
% computer-aided geometric design, curvature, convex.

%AnderssonDahlberg92a
% carl
\rhl{A}
\refP Andersson, R. K. E., Dahlberg, B. E. J.;
Interactive techniques for visual design;
\Hagennitwb; 95--113;

%AnderssonElfving85
\rhl{A}
\refR Andersson, L.-E., Elfving, T.;
An algorithm for constrained interpolation;
Link\"oping University (Sweden), Institute of Technology, LiTH-MAT-R-85-20; 
1985;

%AnderssonElfving90
\rhl{A}
\refR Andersson,  L.-E., Elfving, T.;
Interpolation and approximation by monotone cubic splines;
Report LiTH-MAT-R-1990-03, Link\"oping Univ., Sweden; 1990;

%AnderssonElfving95a
% Tommy Elfving 20feb96
\rhl{A}
\refJ Andersson, L.-E., Elfving, T.;
Best constrained approximation in Hilbert space and interpolation by cubic
   splines subject to obstacles;
Siam J. Sci.\ Comput.; 16; 1995; 1209--1232;
% a scalar-valued function is constrained to lie pointwise between two given
% splines and, otherwise, have smallest second derivative in $L_2$-norm.

%AnderssonIvert85
\rhl{A}
\refR Andersson, L.-E., Ivert, P.-A.;
Constrained interpolants with minimal $W^{k,p}$-norm;
Link\"oping University (Sweden), Institute of Technology, LiTH-MAT-R-85-05; 
1985;

%AnderssonPassare91a
% shayne
\rhl{A}
\refJ Andersson, M., Passare, M.;
Complex Kergin interpolation;
\JAT; 64; 1991; 214--225;
% Another contribution to Kergin questions from complex analysts
% it is shown that a C-convex domain is the most general on which the Kergin
% interpolant can be defined. Some (local uniform) convergence results for
% Kergin interpolants with increasing numbers of interpolation points are given
% using a particular formula for the interpolation error.

%AnderssonPassare91b
% shayne
\rhl{A}
\refJ Andersson, M., Passare, M.;
Complex Kergin interpolation and the Fantappi\`e transform;
\MZ; 208(2); 1991; 257--271;
% More on complex Kergin interpolation

%Ando87
% Shayne 22may98
\rhl{A}
\refJ Ando, T.;
Totally positive matrices;
\LAA; 90; 1987; 165--219;

%Andoyer06a
% sauer
\rhl{}
\refB Andoyer, H.;
Interpolation; 
Encyclop\'edie de Sciences Mathematiques, Tome I, Vol. 4,
Gauthier-Villars (Paris); 1906;

%Andreev74
\rhl{A}
\refJ Andreev,  A.  S.;
On interpolation by cubic spline of a function possessing discontinuities;
\CRABS;  27; 1974; 881--884;

%AndreevTasev73
\rhl{A}
\refJ Andreev,  A. S., Tasev, S.;
\"Uber den Effekt von Gibbs bei der Spline-Interpolation dritter Ordnung;
Math Ed.\  Bulg.\  Math.\	Soc.\  Vidin; XX; 1973; 47--52;

%AndrewsHullTaylor99
\rhl{A}
\refR Andrews, M., Hull, J. A., Taylor, G. D.;
Adaptive curve fitting for chemical processes;
xx; xx;

%AndriaByrneHall73
% sonya
\rhl{A}
\refJ Andria,  G. D., Byrne, G. D., Hall, C. A.;
Convergence of cubic spline interpolants of functions possessing
 discontinuities;
\JAT; 8; 1973; 150--159;

%AndriaByrneHill72
\rhl{A}
\refR Andria, G. D., Byrne, G. D., Hill, D. R.;
Natural spline block implicit methods;
University of Pittsburgh; 1972;

%AndriaMutafelija99
\rhl{A}
\refR Andria, G. D., Mutafelija, B. A.;
On node optimization for cubic spline approximation;
xx; xx;

%Angelos89
% .
\rhl{A}
\refP Angelos, J. R.;
Optimal nodes for polynomial interpolation;
\TexasVI; 17--20;
% algorithm for computing optimal nodes; well, doesn't BoorPinkua78 already
% settle that?

%AnseloneKorevaar64
% pinkus 23jun03
\rhl{}
\refJ Anselone, P. M., Korevaar, J.;
Translation invariant subspaces of finite dimension;
\PAMS; 15; 1964; 747--752;

%AnseloneLaurent68
% carl
\rhl{A}
\refJ Anselone, P. M., Laurent, P. J.;
A general method for the construction of interpolating or smoothing
spline-functions;
\NM; 12; 1968; 66--82;

%Antes74
\rhl{A}
\refJ Antes,  H.;
Bicubic fundamental splines in plate bending;
Internat.\ J. Numer.\ Meth.\ Engr.; 8; 1974; 503--511;

%AnthonyAnthonyBittnerButlerCoxDrieschnerElligsenForbesGrossHannabyHarrisKok93
% carl :-)
\rhl{A}
\refR Anthony,  G. T., Anthony, H. M., Bittner, B., Butler, B. P., Cox, M. G., Drieschner, R., Elligsen, R., Forbes, A. B., Gro\ss, H., Hannaby, S. A., Harris, P. M.,
J. Kok, J.;
Chebyshev best-fit geometric elements;
NPL Report DITC 221/93, Teddington Middlesex (England); 1993;

%Antoniadis94
% larry
\rhl{A}
\refP Antoniadis, A.;
Wavelet methods for smoothing noisy data;
\ChamonixIIb; 21--28;

%AnupamBajajSchikoreSchikore93
\rhl{A}
\refR Anupam, V., Bajaj, C., Schikore, D., Schikore, M.;
Distributed and collaborative volume visualization;
Computer Sciences, Purdue University, Technical Report CSD-TR-93-050;
1993;

%Apostol76
% shayne 03apr06
\rhl{}
\refB Apostol, T. M.;
Introduction to analytic number theory;
Springer (New York); 1976;

%Apprato84
\rhl{A}
\refJ Apprato,  D.;
Etude de la convergence du produit tensoriel de fonctions spline a une
variable satisfaisant a des conditions d'interpolation de Lagrange;
Annales Fac.\ Sci.\ Toulouse; 6; 1984; 153--170;

%Apprato87
\rhl{A}
\refD Apprato,  D.;
Approximation de surfaces param\'etre\'ees par \'el\'ements finis;
Univ.\ of Pau; 1987;

%AppratoArcangeli99a
\rhl{A}
\refR Apprato,  D., Arcang\'eli, R.;
The approximation of regular parametered surfaces by finite elements --- 
Part I: Modelisation of the problem;
Univ.\ de Pau, France; 1999;

%AppratoArcangeli93
\rhl{A}
\refR Apprato,  D., Arcang\'eli, R.;
Modeling of smooth parametric surfaces on curvilinear grids;
xxx; 1993;

%AppratoArcangeliGaches83
\rhl{A}
\refJ Apprato,  D., Arcangeli, R., Gaches, J.;
Fonctions spline par moyennes locales sur un ouvert borne de $\RR^n$;
Annales Fac.\ Sci.\ Toulouse; 5; 1983; 61--87;

%AppratoArcangeliManzanillaM87
\rhl{A}
\refJ Apprato,  D., Arcangeli, R., Manzanilla, R.;
Sur la construction de surfaces de classe $C^k$ \`a partir d'un grand
nombre de donne\'ees de Lagrange;
Math.\ Modelling and Numer.\ Anal.; 21; 1987; 529--555;

%AppratoBetbederGoutVieiraTeste00
% larry 20apr00
\rhl{}
\refP Apprato, D., Betbeder, J. B., Gout, C., Vieira-Teste, S.;
A segmentation method under geometric constraints after pre-processing;
\Stmalof; 9--18;

%AppratoGout00
% Christian Gout 02feb01
\rhl{}
\refJ Apprato, D., Gout, C.;
A result about scale transformation families in approximation: application to
   surface fitting from rapidly varying data;
Numerical Algorithms; 23(2,3); 2000; 263--279;

%AppratoGoutC97
% christian.gout@univ-pau.fr
\rhl{A}
\refJ Apprato, D., Gout, C.;
Ajustement spline sur des morceaux de surfaces;
\CRASP; 325; 1997; 445--448;

%AppratoGoutC98a
% carl 22may98
\rhl{A}
\refR Gout, Christian;
$C^k$ approximation with scale transformations;
CNRS 98/15, Laboratoire de Mat\'ematiques Appliqu\'ees, Universit\'e de Pau
   et es Pays de l'Adour; 1998;

%AppratoGoutC98b
% christian.gout@univ-pau.fr
\rhl{A}
\refR Apprato, D., Gout, C.;
Noise removal in Medical Imaging;
CPAM no.~1000, UC Berkeley; 1998;

%AppratoGoutSenechal00
% Christian Gout 02feb01
\rhl{}
\refJ Apprato, D., Gout, C., Senechal, P.;
$C^k$ reconstruction of surfaces from partial data;
Mathematical Geology; 32 (8); 2000; 969--983;

%AradDyn90
% author
\rhl{A}
\refJ Arad, N., Dyn, N.;
Almost cardinal spline interpolation;
\JAT; 62; 1990; 133--144;

%ArandigaDonat00
% larry 20apr00
\rhl{}
\refP Ar\`andiga, Francesc, Donat, Rosa;
Building adaptive multiresolution schemes within Harten's framework;
\Stmalof; 19--26;

%Arbenz82a
% . 21feb96
\rhl{A}
\refJ Arbenz, P.;
Computable finite element error bounds for Poisson's equation;
\IMAJNA; 2; 1982; 475--479;
% numerical estimation of the best constants for L_2-bounds on
% the error in linear interpolation

%ArcangeliCruzLopezTorrens04
% larry Lai-Schumaker book
\rhl{ArcCT04}
\refB Arcang\'eli, R., Cruz L\'opez de Silanes, M., Torrens, J. J.;
Multidimensional Minimizing Splines;
Kluwer (Dordrecht); 2004;

%ArcangeliGout75
\rhl{A}
\refJ Arcangeli,  R., Gout, J. L.;
Sur l'interpolation de Lagrange dans $\RR^n$;
\CRASP; 281; 1975; A357--A359;

%ArcangeliGout76
% carl
\rhl{A}
\refJ Arcangeli,  R., Gout, J. L.;
Sur l'evaluation de l'erreur d'interpolation de Lagrange dans un ouvert de
$\RR^n$;
\RAIROAN; 10(3); 1976; 5--27;
% multivariate, interpolation, error, polynomial

%ArcangeliRabut86
\rhl{A}
\refJ Arcangeli,  R., Rabut, C.;
Sur l'erreur d'interpolation par fonctions splines;
Math.\ Modelling and Numer.\ Anal.; 20; 1986; 191--201;

%ArcangeliSanchez84
% carl
\rhl{A}
\refJ Arcangeli,  R., Sanchez, A. M.;
 Estimations des erreurs de meilleure approximation polynomiale et 
 d'interpolation de Lagrange dans les espaces de Sobolev d'ordre non entier;
\NM; 45; 1984; 301--321;

%Archer77
% . 23jun03
\rhl{}
\refJ Archer, D.;
An $O(h^4)$ cubic spline collocation method for quasilinear parabolic
   equations;
\SJNA; 14; 1977; 620--637;

%ArcherLeGruyer92
% sonya
\rhl{A}
\refJ Archer,  J. C., Gruyer, E. Le;
A constructive proof of a Whitney extension theorem in one variable;
\JAT; 71; 1992;  312--328;

%ArcherLeGruyer93
% carl
\rhl{A}
\refJ Archer,  J. C., LeGruyer, E.;
Two shape preserving Lagrange $\ell^2$-interpolants;
\NM; 64(1); 1993; 1--12;

%Arden01
% carl 21jan02
\rhl{}
\refD Arden, Greg;
Approximation Properties of Subdivision Surfaces;
Department of Mathematics, Univ.~Washington (Seattle WA); 2001;

%ArgawalWongPJY93
% . 23jun03
\rhl{}
\refB Argawal, R. P., Wong, P. J. Y.;
Error Inequalities in Polynomial Interpolation and Their Applications;
Kluwer Academic Publ.{} (Dordrecht/Boston/London); 1993;

%ArgeDaehlen99
\rhl{A}
\refR Arge,  E., D{\ae}hlen, M.;
Grid point interpolation on finite regions by box splines;
Univ.\ of Oslo; 1999;

%ArgeDaehlen91a
\rhl{A}
\refR Arge,  E., D{\ae}hlen, M.;
Data dependent subdivision and image approximation;
preprint; 1991;

%ArgeDaehlenLycheMorken90
% tom
\rhl{A}
\refP Arge,  E., D{\ae}hlen, M., Lyche, T., M{\o}rken, K.;
Constrained spline approximation of functions and data based on
constrained knot removal;
\ShrivenhamII; 4--20;

%ArgeDaehlenTveito91
\rhl{A}
\refR Arge,  E., D{\ae}hlen, M., Tveito, A.;
Box spline interpolation: a computational study;
preprint; 1991;

%ArgeDaehlenTveito99a
\rhl{A}
\refR Arge,  E., D{\ae}hlen, M., Tveito, A.;
Box spline interpolation\semicolon a computational study;
\JCAM, to appear; 19xx;

%Armit82
% larry
\rhl{A}
\refJ Armit, A.;
TAG -- A high perfomance interactive 3D graphics system;
Computers in Industry; 3; 1982; 117--123;

%Arndt74
% sonya
\rhl{A}
\refJ Arndt,  H.;
On uniqueness of best spline approximations with free knots;
\JAT; 11; 1974; 118--125;

%Arndt74b
% werner 26aug98
\rhl{A}
\refD Arndt, H.;
Interpolation mit regul\"aren Spline-Funktionen;
M\"unster (Germany); 1974;
% see Werner79a

%ArnerKapsPrautzsch84
\rhl{A}
\refR Arner, P., Kaps, M., Prautzsch, H.;
A program package for triangular spline surfaces I:  Comments;
Institute f\"ur Mathematik, Technische Universit\"at, Braunschweig,
Research Report No.\ 07/14; 1984;

%ArnerKapsPrautzsch84
\rhl{A}
\refR Arner, P., Kaps, M., Prautzsch, H.;
A program package for triangular spline surfaces II:  Programs;
Institute f\"ur Mathematik, Technische Universit\"at, Braunschweig,
Research Report No.\ 07/15; 1984;

%Arnold83
% . 12mar97
\rhl{A}
\refJ Arnold, D. N.;
A spline-geometric Galerkin method and an exponentially convergent boundary
   integral method;
\MC; 41; 1983; 383--397;

%ArnoldGuseinZadeVarchenko85a
\rhl{A}
\refB Arnold,  V. I., Gusein--Zade, S. M., Varchenko, A. N.;
Singularities of Differentiable Maps, Vol.\ 1;
Birkh\"auser (Boston); 1985;

%ArnoldWendland85a
% . 05feb96
\rhl{A}
\refJ Arnold, D. N., Wendland, W. L.;
The convergence of spline collocation for strongly elliptic equations on
   curves;
\NM; 47; 1985; 317--341;

%Aronsson79
% larry
\rhl{A}
\refJ Aronsson, G.;
Perfect splines and nonlinear optimal control theory;
\JAT; 25; 1979; 142--152;

%Aronszajn50
% carl
\rhl{A}
\refJ Aronszajn,  N.;
Theory of reproducing kernels;
\TAMS; 68; 1950; 337--404;

%Arthur74
% sonya
\rhl{A}
\refJ Arthur,  D. W.;
Multivariate spline functions, I.  Construction, properties, and
computation;
\JAT; 12; 1974; 396--411;

%Arthur75
% sonya
\rhl{A}
\refJ Arthur,  D. W.;
Multivariate spline functions, II. Best error bounds;
\JAT; 15; 1975; 1--10;

%AsaturyanUnsworth89
\rhl{A}
\refP Asaturyan, S., Unsworth, K.;
A $C^1$ monotonicity preserving surface interpolation scheme;
\HandscombIII; 243--266;

%Asker62
\rhl{A}
\refJ Asker,  B.;
The spline curve,  a smooth interpolating function used in numerical
design of ship lines;
\BIT; 2; 1962; 76--82;

%AstorDuris74
% carl
\rhl{A}
\refJ Astor,  P. H., Duris, C. S.;
Discrete L-splines;
\NM; 22; 1974; 393--402;

%Atkinson68
% carl
\rhl{A}
\refJ Atkinson,  K. E.;
On the order of convergence of natural cubic spline interpolation;
\SJNA; 5; 1968; 89--101;

%AtkinsonSharma69
% carl
\rhl{A}
\refJ Atkinson,  K. E., Sharma, A.;
A partial characterization of poised Hermite-Birkhoff interpolation
problems;
\SJNA; 6; 1969; 230--235;

%Atteia65
\rhl{A}
\refJ Att\'eia,  M.;
G\'en\'eralisation de la d\'efinition et des propri\'et\'es des
``spline fonctions";
\CRASP; 260; 1965; 3550--3553;

%Atteia65b
\rhl{A}
\refJ Att\'eia,  M.;
``Spline fonctions" g\'en\'eralis\'ees;
\CRASP; 261; 1965; 2149--2152;

%Atteia66
\rhl{A}
\refJ Att\'eia,  M.;
Existence et d\'etermination des fonctions splines \`a plusieurs
variables;
\CRASP; 262; 1966; 575--578;

%Atteia67
% kersey 20jun97
\rhl{A67}
\refR Att\'eia,  M.;
Fonctions spline avec contraintes lineaires de type inegalit\'e;
Congr\'es de l'AFIRO, Nancy, Mai; 1967;

%Atteia68
% larry
\rhl{A}
\refJ Att\'eia,  M.;
Fonctions spline d\'efini\'es sur un ensemble convexe;
\NM;  12; 1968; 192--210;

%Atteia70a
\rhl{A}
\refJ Att\'eia,  M.;
Fonctions splines et noyaux r\'eproduisants d'Aronszajn--Bergman;
\RAIROAN; R-3; 1970; 31--43;

%Atteia70b
% . 02feb01
\rhl{A}
\refJ Att\'eia,  M.;
Fonctions spline et m\'ethode d'\'el\'ements finis;
\RAIROAN; R-2; 1970; 13--40;

%Atteia71
\rhl{A}
\refJ Att\'eia,  M.;
Fonctions splines dans le champ complexe;
\CRASP; 273; 1971; 678--681;

%Atteia77a
% . 26oct95 02feb01
\rhl{A}
\refJ Atteia, M.;
Evaluation de l'erreur dans la m\'ethode des \'el\'ements finis;
\NM; 28; 1977; 295--306;

%Atteia89
% larry
\rhl{A}
\refP Atteia,  M.;
Approximation with barycentric coordinates: the Hilbertian case;
\MvatIV; 9--14;

%Atteia90
% author 02feb01
\rhl{}
\refJ Atteia, M.;
Spline functions and Fourier series;
Rev.\ Mathem.\ Aplicad.; 11; 1990; 77--100;

%Atteia91
% larry
\rhl{A}
\refP Att\'eia,  M.;
Spline manifolds;
\ChamonixI; 17--25;

%Atteia92
% carl, shayne
\rhl{A}
\refB Att\'eia,  M.;
Hilbertian Kernels and Spline Functions;
Elsevier Science Publishers (Amsterdam); 1992;
% variational approach

%Atteia94
% larry
\rhl{A}
\refP Atteia, M.;
Quasi-interpolants and (quasi-) wavelets P(D) manifold;
\ChamonixIIb; 29--36;

%AtteiaBenbourhim89
% larry
\rhl{A}
\refP Att\'eia,  M., Benbourhim, M. N.;
Spline elastic manifolds;
\Oslo; 45--50;
% variational approach

%AtteiaFageGaches84
% author 02feb01
\rhl{}
\refJ Atteia, M., Fage, C., Gaches, J.;
Etude et convergence de fonctions spline complexes;
\RAIROAN; 18(3); 1984; 219--236;

%Aubin67a
% . 19may96
\rhl{A}
\refJ Aubin, J.-P.;
Behavior of the error of the approximate solution of boundary value problems
   for linear elliptic operators by Galerkin's and finite difference methods;
Ann.\ Scuola Norm.\ Pisa; 21; 1967; 599--637;

%Aubin68
\rhl{A}
\refJ Aubin,  J. P.;
Interpolation et approximation optimales et spline functions;
\JMAA;	24; 1968; 1--24;

%Aubin68b
% carl
\rhl{A}
\refJ Aubin,  J. P.;
Best approximation of linear operators in Hilbert spaces;
\SJNA; 5; 1968; 518--521;

%Aubin70
% . 29apr97
\rhl{A}
\refJ Aubin, Jean-Pierre;
Optimal approximation and characterization of
   the error and stability functions in Banach spaces;
\JAT; 3; 1970; 430--443;

%Aubin71
% sonya
\rhl{A}
\refJ Aubin,  J. P.;
Remarks about the construction of optimal subspaces of approximants
of a Hilbert space;
\JAT; 4; 1971; 21--36;

%Aubin72a
% . 19may96
\rhl{A}
\refB Aubin, J.-P.;
Approximation of elliptic boundary-value problems;
John Wiley \& Sons (New York); 1972;

%Auerbach90
% larry
\rhl{A}
\refR Auerbach,  S.;
Approximieren und Modellieren mit bivariaten quadratischen B-Splines;
Diplomarbeit, Rheinische Friedrich-Wilhelm-Univ.\ Bonn; 1990;

%AuerbachGemeligMeylingNeamtuSchaeben91
% greg
\rhl{A}
\refJ Auerbach,  S., Gmelig-Meyling, H. R., Neamtu, M., Schaeben, H.;
Approximation and geometric modeling with simplex B-splines associated with 
irregular triangles;
\CAGD; 8; 1991; 67--87;

%Augel97
% larry 10sep99
\rhl{A}
\rhl{A}
\refP Augel, A.;
Multivariate mean value interpolation;
\ChamonixIIIb; 27--34;

%AugelSablonniere96
% shayne 6aug96
\rhl{A}
\refR Augel, A., Sablonni\`ere, P.;
Multivariate mean value interpolation;
Preprint; 1996;
% computes the max norm of Hakopian's interpolation operator

%Aumann63
% larry
\rhl{A}
\refJ Aumann,  G.;
Approximation by step functions;
\PAMS; 14; 1963; 477--482;

%Aumann68
% carl 20nov03
\rhl{B}
\refQ Aumann, Georg;
Approximation von Funktionen;
(Mathematische Hilfsmittel des Ingenieurs, Teil III), S. Sauer \& I. Szab\'o
(eds.), Grundlehren vol.~141, Springer-Verlag (Heidelberg); 1968; 320--351;

%Auslaender71
% carl
\rhl{A}
\refJ Auslaender,  G. J.;
A novel, Hermite type, interpolation procedure;
\SJNA; 8; 1971; 465--472;

%AuslenderA69
\rhl{A}
\refD Auslender,  A.;
M\'ethodes num\'eriques pour la r\'esolution des probl\'emes
   d'optimisation avec constraintes;
Univ.\ Grenoble; 1969;

%AuzingerStetter88
% . 16aug02 08apr03
\rhl{AS88}
\refQ Auzinger, W., Stetter, H.;
An elimination algorithm for the computation of all zeros of a system of
   multivariate polynomial equations;
(Numerical Mathematics, Singapore 1988, ISNM vol.~86), Ravi P. Agarwal, Y.
M. Chow, and S. J. Wilson (eds.),
Birkh\"auser (Basel); 1988; 11--30;

%AvilaTaylor99
\rhl{A}
\refR Avila, P. G., Taylor, G. D.;
Adaptive $l_1-l_2$ curve fitting;
xx; xx;

%AwanouLai02
% LLS Lai-Schumaker book
\rhl{AwaL02}
\refP Awanou, G., Lai, M. J.;
$C^1$ quintic spline interpolation over tetrahedral partitions;
\TexasXw; 1--16;

%AyalaBrunetJuanNavazo85a
\rhl{A}
\refJ Ayala,  D., Brunet, P., Juan, R., Navazo, I.;
Object representation by means of non-minimal division quadtrees and octrees;
\ACMTG; 4; 1985; 41--59;

%AzevedoSimpson88
\rhl{A}
\refR D'Azevedo, E. F., Simpson, R. B.;
On optimal interpolation triangle incidences;
Research Report CS-88-17; 1988;