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.
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页码：5 / 19
页数：15
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