Electronic Resource
Springer
Advances in computational mathematics
8 (1998), S. 267-289
ISSN:
1572-9044
Keywords:
Clifford group and algebra
;
designants
;
formal orthogonal polynomials in a non-commutative algebra
;
qd-algorithm
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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 Padé approximants in the sense of Graves-Morris and Roberts.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018952415379
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