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

共 50 条

[11] Inverse eigenproblem of anti-symmetric and persymmetric matrices and its approximation
Xie, DX
Sheng, YP
[J]. INVERSE PROBLEMS, 2003, 19 (01) : 217 - 225
[12] An inverse eigenproblem and an associated approximation problem for generalized reflexive and anti-reflexive matrices
Huang, Guang-Xin
Yin, Feng
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) : 2888 - 2895
[13] Least-squares solutions of constrained inverse eigenproblem and associated optimal approximation problem
Liu, Wei
Li, Ding-wu
Shen, Jin-rong
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (03) : 641 - 650
[14] Matrix inverse problem and its optimal approximation problem for R-skew symmetric matrices
Huang, Guang-Xin
Yin, Feng
Chen, Hua-Fu
Chen, Ling
Guo, Ke
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (12) : 3515 - 3521
[15] Left and right inverse eigenpairs problem of skew-centrosymmetric matrices
Li, Fan-Liang
Hu, Xi-Yan
Zhang, Lei
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) : 105 - 110
[16] The solvability conditions for inverse eigenproblem of symmetric and anti-persymmetric matrices and its approximation
Xie, DX
Hu, XY
Zhang, L
[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2003, 10 (03) : 223 - 234
[17] Submatrix constrained left and right inverse eigenvalue problem for centrosymmetric matrices
Zhao, Lijun
[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 29 (10) : 1412 - 1428
[18] The Optimal Approximation Solution of Inverse Generalized Eigenvalue Problem for Generalized Centrosymmetric Matrices
Wang, Xiangrong
[J]. ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 285 - 288
[19] Least-square Solutions for Inverse Problem of Skew-symmetric Orthogonal Skew-symmetric Matrices
Meng, Guo-Yan
Liao, An-Ping
[J]. ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 189 - 192
[20] The constrained inverse eigenvalue problem and its approximation for normal matrices
Peng, Xiang-yang
Liu, Wei
Xiong, Hui-jun
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (12) : 3115 - 3123

← 1 2 3 4 5 →