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.
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页码：225 / 233
页数：8
相关论文
共 12 条
[11]  
Peng Z.Y., Hu X.Y., Zhang L., One kind of inverse problems for symmetric and skew anti-symmetric matrices, Numer. Math. J. Chinese Univ., 2, pp. 144-152, (2003)
[12]  
Sheng Y.P., Xie D.X., The solvability conditions for the inverse problem of symmetric and sub-anti-symmetric matrices, Math. Numer. Sin., 1, pp. 73-80, (2004)
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