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- [6] Robust and well- conditioned eigenstructure assignment via Sylvester’s equa- tion. CAVIN R K, BHATTACHARYA S P. Optimal Contr Appl Methods . 1983
Backward Perturbation Analysis for the Matrix Equation A~TXA+B~TYB=D
被引：0
作者：
Xing-dong Yang
机构：
基金：
中国国家自然科学基金;
关键词：
matrix equation;
backward error;
approximate solution;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Consider the linear matrix equation A~TXA + B~TYB = D,where A,B are n X n real matrices and D symmetric positive semi-definite matrix.In this paper,the normwise backward perturbation bounds for the solution of the equation are derived by applying the Brouwer fixed-point theorem and the singular value decomposition as well as the property of Kronecker product.The results are illustrated by two simple numerical examples.
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页码：281 / 288
页数：8
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