Some identities for determinants of structured matrices

被引：13

作者：

Basor, EL ^{[1
]}

Ehrhardt, T

机构：

[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA

[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 343卷

基金：

美国国家科学基金会;

关键词：

Toeplitz matrix; Hankel matrix; determinant;

D O I：

10.1016/S0024-3795(01)00400-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish several relations between the determinants of the following structured matrices: Hankel matrices, symmetric Toeplitz + Hankel matrices and Toeplitz matrices. Using known results for the asymptotic behavior of Toeplitz determinants, these identities are used in order to obtain Fisher-Hartwig type results on the asymptotics of certain skew-symmetric Toeplitz determinants and certain Hankel determinants. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：5 / 19

页数：15

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