Zero asymptotic behaviour for orthogonal matrix polynomials

被引：0

作者：

A. J. Duran

P. Lopez-Rodriguez

E. B. Saff

机构：

[1] Universidad de Sevilla,Departamento de Análisis Matemático

[2] University of South Florida,Institute for Constructive Mathematics Department of Mathematics

来源：

Journal d’Analyse Mathématique | 1999年 / 78卷

关键词：

Orthogonal Polynomial; Positive Definite Matrix; Matrix Polynomial; Positive Definite Matrice; Recurrence Coefficient;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Weak-star asymptotic results are obtained for the zeros of orthogonal matrix polynomials (i.e., the zeros of their determinants) on ℝ from two different assumptions: first from the convergence of matrix coefficients occurring in the three-term recurrence for these polynomials; and, second, from conditions on the generating matrix measure. The matrix analogues of the Chebyshev polynomials of the first kind are also investigated.

引用

页码：37 / 60

页数：23

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