Simultaneous Frobenius-Pade approximants

被引：4
|
作者：
Matos, AC [1 ]
Van Iseghem, J [1 ]
机构：
[1] Univ Sci & Technol, Lab Paul Painleve, CNRS, UMR 8524,UFR Math Pures & Appl, Lille, France
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 176卷 / 02期
关键词：
rational approximation; orthogonal polynomials; orthogonal series; Frobenius-Pade approximants; Vector Pade approximants;
D O I：
10.1016/j.cam.2004.07.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend to simultaneous approximation the notion of Froberiius-Pade approximants: we then construct rational approximants for vector functions given by their expansion in an orthogonal series. After giving the definitions and notations for simultaneous Frobenius-Pade approximants and table. we develop recursive relations for computing different sequences in the table of approximants. We then propose algorithms to compute, in the two dimensional case, antidiagonal (Kronecker type algorithm) and diagonal sequences. (C) 2004 Elsevier B.V. All rights reserved.
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页码：231 / 258
页数：28
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