On the Sauer-Xu formula for the error in multivariate polynomial interpolation-Reference-Cited by-同舟云学术

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On the Sauer-Xu formula for the error in multivariate polynomial interpolation

Published:1996 Issue:215 Volume:65 Page:1231-1234
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

de Boor Carl

Abstract

Use of a new notion of multivariate divided difference leads to a short proof of a formula by Sauer and Xu for the error in interpolation, by polynomials of total degree ≤ n \le n in d d variables, at a ‘correct’ point set.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-215/S0025-5718-96-00727-2/S0025-5718-96-00727-2.pdf

Reference3 articles.

1. Carl de Boor, A multivariate divided difference, Approximation Theory VIII, Academic Press, New York, 1995, pp. 87–96.

2. On a numerically efficient method for computing multivariate 𝐵-splines;Micchelli, Charles A.,1979

3. On multivariate Lagrange interpolation;Sauer, Thomas;Math. Comp.,1995

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximation Theory;Wiley Encyclopedia of Computer Science and Engineering;2009-03-16

2. On Multivariate Interpolation;Studies in Applied Mathematics;2006-02

3. Approximation of boundary element matrices;Numerische Mathematik;2000-10

4. Polynomial interpolation in several variables;Advances in Computational Mathematics;2000

5. On Bivariate Hermite Interpolation with Minimal Degree Polynomials;SIAM Journal on Numerical Analysis;2000-01

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