A class of constrained inverse eigenproblem and associated approximation problem for skew symmetric and centrosymmetric matrices

被引：15

作者：

Pan, XP ^{[1
]}

Hu, XY ^{[1
]}

Zhang, L ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 408卷

基金：

中国国家自然科学基金;

关键词：

skew symmetric and centrosymmetric matrix; constrained inverse eigenproblem; approximation problem; Frobenius norm;

D O I：

10.1016/j.laa.2005.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of constrained inverse eigenproblern and associated approximation problem for skew symmetric and centrosymmetric matrices are essentially decomposed into the same kind subproblems for real antisymmetric matrices with smaller dimensions. We present the general solution of the constrained inverse eigenproblem for skew symmetric and centrosymmetric matrices in real number field. In addition, in corresponding solution set of the constrained inverse eigenproblern for skew symmetric and centrosymmetric matrices, the explicit expression of the nearest matrix to a given matrix in the Frobenius norm is obtained. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：66 / 77

页数：12

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