QD-algorithms and recurrence relations for biorthogonal polynomials

• Tipo: Artigo em Revista Científica Internacional
• Data: 1999

Autores

da Rocha, Z (Autor) FCUP

Revista

Título: Journal of Computational and Applied Mathematics

Vol. 107

Páginas: 53-72

ISSN: 0377-0427

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-3VH

DOI: 10.1016/s0377-0427(99)00075-8

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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 20