On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks

被引：4

作者：

Liu, Zhongyun ^{[1
]}

Zhang, Yulin ^{[2
]}

Ferreira, C. ^{[2
]}

Ralha, Rui ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Hunan, Peoples R China

[2] Univ Minho, Dept Math, P-4710057 Braga, Portugal

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Block Toeplitz matrix; Generalized K-centrosymmetric matrix; Inverse eigenvalue problem; Newton method; REAL;

D O I：

10.1016/j.amc.2009.12.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an algorithm for solving the inverse eigenvalue problem for real symmetric block Toeplitz matrices with symmetric Toeplitz blocks. It is based upon an algorithm which has been used before by others to solve the inverse eigenvalue problem for general real symmetric matrices and also for Toeplitz matrices. First we expose the structure of the eigenvectors of the so-called generalized centrosymmetric matrices. Then we explore the properties of the eigenvectors to derive an efficient algorithm that is able to deliver a matrix with the required structure and spectrum. We have implemented our ideas in a Matlab code. Numerical results produced with this code are included. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1819 / 1830

页数：12

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