Publicação: R II type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
Carregando...
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
We consider a sequence of polynomials {P n } n≥0 satisfying a special R II type recurrence relation where the zeros of P n are simple and lie on the real line. It turns out that the polynomial P n , for any n≥2, is the characteristic polynomial of a simple n×n generalized eigenvalue problem. It is shown that with this R II type recurrence relation one can always associate a positive measure on the unit circle. The orthogonality property satisfied by P n with respect to this measure is also obtained. Finally, examples are given to justify the results.
Descrição
Palavras-chave
Generalized eigenvalue problem, Orthogonal polynomials on the unit circle
Idioma
Inglês
Como citar
Linear Algebra and Its Applications, v. 562, p. 63-90.
