Polynomials generated by a three term recurrence relation: bounds for complex zeros
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Data
2005-03-01
Autores
da Silva, A. P.
Ranga, A. S.
Título da Revista
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Editor
Elsevier B.V.
Resumo
This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the zeros are located. In most part, the zeros are explored through an Eigenvalue representation associated with a corresponding Hessenberg rnatrix. Applications to Szego polynomials, para-orthogonal polynomials and polynomials with non-zero complex coefficients are considered. (C) 2004 Elsevier B.V. All rights reserved.
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Palavras-chave
Three term recurrence relations, eigenvalue problems, zeros of polynomials
Como citar
Linear Algebra and Its Applications. New York: Elsevier B.V., v. 397, p. 299-324, 2005.