papers on multivariate polynomial interpolation at ftp.cs.wisc.edu/Approx
These files can be obtained by anonymous
from ftp.cs.wisc.edu/Approx.
The files are postscript, and are also available as compress(ed)
files, as indicated by the subscript .Z,
to be uncompress(ed) before using,
as well as as (shorter) gzip(ed) files, as indicated by the subscript
.gz, to be extracted by gzip -d .
The files are now also available in pdf. For those from before '98,
these pdf files might not look very good in an acrobat reader, but will
print just fine.
If you have trouble because of file contamination, specify binary as your first command in ftp.
The files are in order of increasing age.
stahl: ps ps.Z
ps.gz pdf
On Radon's recipe for choosing correct sites for multivariate polynomial interpolation;
Dominik Stahl and Carl de Boor
june 2011
\JAT; 163(12); 2011; 1854--1858;
liron: ps ps.Z
ps.gz pdf
External zonotopal algebra;
Nan Li and Amos Ron
april 2011
hrx: ps ps.Z
ps.gz pdf
Hierarchical zonotopal spaces;
Olga Holtz, Zhiqiang Xu and Amos Ron
october 2009
to appear in
TAMS; xx(x); 201x; xxx-xxx;
dahmen: ps ps.Z
ps.gz pdf
The way things were in multivariate splines: A personal view;
Carl de Boor
april 2009
in Multiscale, Nonlinear and Adaptive Approximation, R. DeVore and A. Kunoth
(eds.), Springer Verlag (Berlin-Heidelberg, Germany); 2009; 19--37;
angpl: ps ps.Z
ps.gz pdf
Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices;
Carl de Boor
april 2008
updated 1may08, 8jul08, 10aug08
\JAT; 161(1); 2009; 411--420;
shekht: ps ps.Z
ps.gz pdf
On the pointwise limits of bivariate Lagrange projectors;
Carl de Boor and Boris Shekhtman
november 2007
\LAA; 429(1); 2008; 311--325;
zonotopes: ps ps.Z
ps.gz pdf
Zonotopal algebra;
Olga Holtz and Amos Ron
september 2007
gcn: ps ps.Z
ps.gz pdf
Multivariate polynomial interpolation: conjectures concerning GC-sets;
Carl de Boor
september 2006
proc. 1st Dolomites Workshop: 2006:
07dec06 update
\NA; 45; 2007; 113--125;
laglimit: ps ps.Z
ps.gz pdf
What are the limits of Lagrange projectors?
Carl de Boor
december 2005
(Constructive Theory of Functions, Varna 2005), B. Bojanov (ed.),
Marin Drinov Acad.\ Publ.\ House (Sofia); 2006; 51--63;
MvsD: ps ps.Z
ps.gz pdf
Ideal interpolation: Mourrain's condition vs $D$-invariance;
Carl de Boor
jan 2005
(Banach Center Publications Vol.~72: Approximation and Probability),
Tadeusz Figiel and Anna Kamont (eds.), IMPAN (Warszawa, Poland); 2006; 49--55;
texasxi: ps ps.Z
ps.gz pdf
Ideal interpolation;
Carl de Boor
dec 2004
\TexasXI; 59--91;
dec05: three footnotes added
monomint: ps ps.Z
ps.gz pdf
Interpolation from spaces spanned by monomials
Carl de Boor
aug 2004
\AiCM; 26(1-3); 2007; 63--70;
radpol: ps ps.Z
ps.gz pdf
On interpolation by radial polynomials
Carl de Boor
dec 2003
as of 21jul04/23feb04
\AiCM; 24; 2006; 143--153;
leibniz: ps ps.Z
ps.gz pdf
A Leibniz formula for multivariate divided differences
Carl de Boor
apr 2002
\SJNA; 41(3); 2003; 856--868;
polintflats: ps ps.Z
ps.gz pdf
Polynomial interpolation to data on flats in $\Rd$
Carl de Boor, Nira Dyn, Amos Ron
aug 1999
\JAT; 105; 2000; 313--343;
mp: ps ps.Z
ps.gz pdf
Computational aspects of multivariate polynomial interpolation: Indexing the coefficients
Carl de Boor
jan/feb 1999
may99 incorporated referee's comments
\AiCM; 12; 2000; 289--301;
encoan: ps ps.Z
ps.gz pdf
Multivariate Hermite interpolation (talk at Guernavaca, 13apr99)
Carl de Boor
apr 1999
updated 08feb01 to conform to present-day notation
updated 20apr08 to correct some misprints
message.mp5
A selfunwrapping wrapper containing MATLAB 5 programs for the construction and evaluation of the least interpolant to data in any number of dimensions
Carl de Boor
as of February 1999
chamonix: ps ps.Z
ps.gz pdf
The error in polynomial tensor-product, and in Chung-Yao, interpolation
Carl de Boor
February 1997
in
Surface Fitting and Multiresolution Methods
A. Le M\'ehaut\'e, C. Rabut, and L. L. Schumaker (eds),
Vanderbilt University Press (Nashville TN), 35--50.
6apr09: added missing reference to Waldron'98a
sauerxu
On the Sauer-Xu formula for the error in multivariate polynomial interpolation;
Carl de Boor
March 1995
\MC; 65; 1996; 1231--1234;
multdvdf: ps ps.Z
ps.gz pdf
A multivariate divided difference
Carl de Boor
March 1995
\TexasVIIIa; 87--96;
% 25mar02: supplied missing g in (4.1) and completed refs [17] and [18].
hardy: ps ps.Z
ps.gz pdf
A multivariate form of Hardy's inequality and $L_p$-error bounds for multivariate Lagrange interpolation schemes
Shayne Waldron
August 1994
\SJMA; 28(1); 1997; 233--258;
lift: ps ps.Z
ps.gz pdf
Integral error formul{\ae} for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
Shayne Waldron
July 1994
\NM; 77(1); 1997; 105--122;
hermite: ps ps.Z
ps.gz pdf
$L_p$-error bounds for Hermite interpolation and the associated Wirtinger inequalities
Shayne Waldron
May 1994
\CA; 13(4); 1997; 461--679;
extremising: ps ps.Z
ps.gz pdf
Extremising the $L_p$-norm of a monic polynomial with roots in a given interval and Hermite interpolation
Shayne Waldron
May 1994
polintelim: ps ps.Z
ps.gz pdf
Gauss elimination by segments and multivariate polynomial interpolation
Carl de Boor
March 1994
in (Approximation and Computation), R.V.M. Zahar (ed.),
ISNM 119, Birkh\"auser Verlag (Basel-Boston-Berlin); 1994; 1--22;
polinterr: ps ps.Z
ps.gz pdf
On the error in multivariate polynomial interpolation
Carl de Boor
1991
has appeared in Applied Numerical Mathematics; 10; 1992; 297--305;
leastsol: ps ps.Z
ps.gz pdf
The least solution for the polynomial interpolation problem;
Carl de Boor, Amos Ron
June 1990
has appeared in Math.Zeitschrift; 210; 1992; 347--378;
compleast
Computational aspects of polynomial interpolation in several variables
Carl de Boor, Amos Ron
March 1990
has appeared in Math.Comp.; 58; 1992; 705--727;
polintconte: ps ps.Z
ps.gz pdf
Polynomial interpolation in several variables
Carl de Boor
March 1990
has appeared in
(Studies in Computer Science {(in Honor of Samuel D. Conte)}),
R. DeMillo and J. R. Rice (eds.), Plenum Press (New York); 1994; 87--119;
twopolspaces: ps ps.Z
ps.gz pdf
On two polynomial spaces associated with a box spline
Carl de Boor, Nira Dyn \& Amos Ron
April 1989
has appeared in
\PJM; 147; 1991; 249--267;
% (may'99: corrected and updated the references)
multiint: ps ps.Z
ps.gz pdf
On multivariate polynomial interpolation
Carl de Boor, Amos Ron
November 1988
has appeared in Constr. Approx.; 6; 1990; 287--302;
% (13nov98: corrected two misprints and changed the symbol for polynomial
% space from \pi to \Pi)
limorg: ps ps.Z
ps.gz pdf
The limit at the origin of a smooth function space;
Carl de Boor, Amos Ron
November 1988
has appeared in \TexasVI; 93--96;
ebs4: ps ps.Z
ps.gz pdf
Local approximation by certain spaces of multivariate exponential-polynomials, approximation order of exponential box splines and related interpolation problems
Nira Dyn and Amos Ron
January 1988
has appeared in:
\TAMS; 319; 1990; 381--403