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QD-algorithms and recurrence relations for biorthogonal polynomials

Title
QD-algorithms and recurrence relations for biorthogonal polynomials
Type
Article in International Scientific Journal
Year
1999
Authors
da Rocha, Z
(Author)
FCUP
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Journal
Vol. 107
Pages: 53-72
ISSN: 0377-0427
Publisher: Elsevier
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Publicação em Scopus Scopus - 0 Citations
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-001-3VH
Abstract (EN): Biorthogonal polynomials P-n((i, j)) include as particular cases vector orthogonal polynomials of dimension d and - d(d is an element of N). We pay special attention to the cases of dimension 1 and -1. We discuss the problem of computing P-n((i, j)) using only one or several recurrence relations. Furthermore, we deduce all recurrence relations of a certain type that give P-n((i, j)) from two other biorthogonal polynomials. The coefficients that appear in any two independent relations satisfy some identities from which it is possible to establish QD-like algorithms.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 20
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