RELATIVE ASYMPTOTICS FOR ORTHOGONAL MATRIX POLYNOMIALS WITH RESPECT TO A PERTURBED MATRIX MEASURE ON THE UNIT CIRCLE

被引：0

作者：

Hossain O. Yakhlef

Francisco Marcellán

机构：

[1] Universidad de Granada~ Spain

[2] Universidad Carlos Ⅲ De Madrid Spain

来源：

ApproximationTheoryandItsApplications | 2002年 / 04期

关键词：

RELATIVE ASYMPTOTICS FOR ORTHOGONAL MATRIX POLYNOMIALS WITH RESPECT TO A PERTURBED MATRIX MEASURE ON THE UNIT CIRCLE;

D O I：

暂无

中图分类号：

O174.41 [逼近论];

学科分类号：

070104 ;

摘要：

Given a positive definite matrix measure Ω supported on the unit circle T, then main purpose of this paper is to study the asymptotic behavior of L n()L n(Ω) -1 and Φ n(z;)Φ n(z;Ω) -1 where(z)=Ω(z)+Mδ(z-w); |w|>1,M is a positive definite matrix and δ is the Dirac matrix measure. Here, L n(·) means the leading coefficient of the orthonormal matrix polynomials Φ n(z;·). Finally, we deduce the asymptotic behavior of Φ n(w;)Φ n(w;Ω)* in the case when M=I.

引用

页码：1 / 19

页数：19