Polynomial interpolation in several variables

被引：0
作者：
Mariano Gasca
Thomas Sauer
机构：
[1] University of Zaragoza,Department of Applied Mathematics
[2] Universität Erlangen–Nürnberg,Mathematisches Institut
来源：
Advances in Computational Mathematics | 2000年 / 12卷
关键词：
interpolation; multivariate polynomials; Newton approach; divided differences; Gröbner bases; H-bases;
D O I：
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摘要：
This is a survey of the main results on multivariate polynomial interpolation in the last twenty-five years, a period of time when the subject experienced its most rapid development. The problem is considered from two different points of view: the construction of data points which allow unique interpolation for given interpolation spaces as well as the converse. In addition, one section is devoted to error formulas and another to connections with computer algebra. An extensive list of references is also included.
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