DIMENSIONAL REDUCTION FOR MULTIVARIATE LAGRANGE POLYNOMIAL INTERPOLATION PROBLEMS

被引：0
|
作者：
Errachid M. [1 ]
Essanhaji A. [1 ]
Messaoudi A.A. [2 ]
机构：
[1] LabMIA-SI, Mohammed V University in Rabat, Centre Régional des Métiers de l’Enseignement et de la Formation (CRMEF) de Rabat, 1 Avenue Allal Alfassi, Madinat Al Irfane, B.P. 6210, Rabat
[2] LabMIA-SI, Mohammed V University in Rabat, Ecole Normale Supérieure, Av. Mohammed Belhassan El Ouazzani, Takaddoum, Rabat
来源：
Electronic Transactions on Numerical Analysis | 2024年 / 60卷
关键词：
polynomial interpolation; multivariate Lagrange polynomial interpolation problem;
D O I：
10.1553/etna_vol60s123
中图分类号：
学科分类号：
摘要：
In this work we propose a theoretical and practical method to transform the multivariate Lagrange polynomial interpolation problem into a univariate problem. This transformation allows a wide exploitation of all one-variable polynomial Lagrange interpolation schemes such as Newton’s scheme or split differences, etc. Numerical comparison with other existing methods will be studied. © 2024 Kent State University. All rights reserved.
引用
收藏
页码：123 / 135
页数：12
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