Formal vector orthogonal polynomials

作     者：Salam, A 

作者机构：Univ Littoral Lab Math Appl F-62228 Calais France 

出 版 物：《ADVANCES IN COMPUTATIONAL MATHEMATICS》 (计算数学进展)

年 卷 期：1998年第8卷第3期

页      面：267-289页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Clifford group and algebra designants formal orthogonal polynomials in a non-commutative algebra qd-algorithm 

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.