Formal vector orthogonal polynomials

被引：5

作者：

Salam, A ^{[1
]}

机构：

[1] Univ Littoral, Lab Math Appl, F-62228 Calais, France

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1998年 / 8卷 / 03期

关键词：

Clifford group and algebra; designants; formal orthogonal polynomials in a non-commutative algebra; qd-algorithm;

D O I：

10.1023/A:1018952415379

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to define and to study orthogonal polynomials with respect to a linear functional whose moments are vectors. We show how a Clifford algebra allows us to construct such polynomials in a natural way. This new definition is motivated by the fact that there exist natural links between this theory of orthogonal polynomials and the theory of the vector valued Pade approximants in the sense of Graves-Morris and Roberts.

引用

页码：267 / 289

页数：23

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