The solvability conditions for inverse problems of anti-symmetric ortho-symmetric matrices

被引：1

作者：

Yu L. ^{[1
]}

Zhang K. ^{[2
]}

Shi Z. ^{[1
]}

机构：

[1] College of Automation, Northwestern Polytechnical University, Xi'an

[2] Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an

来源：

Journal of Applied Mathematics and Computing | 2008年 / 28卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Anti-symmetric ortho-symmetric matrix; Matrix equation; Optimal approximation;

D O I：

10.1007/s12190-008-0096-6

中图分类号：

学科分类号：

摘要：

This paper discusses the anti-symmetric ortho-symmetric solution of a linear matrix equation and its optimal approximation. The necessary and sufficient conditions for the solvability of the matrix equation and the general expression of the anti-symmetric ortho-symmetric solution are given. In addition, the existence and uniqueness of the optimal approximation are proved. Numerical methods of the optimal approximation to a given matrix and numerical experiments are described. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：225 / 233

页数：8

共 12 条

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