Least-Squares Solutions of Matrix Equations(AX = B,XC = D) for Hermitian Reflexive (Anti-Hermitian Reflexive) Matrices and Its Approximation
Least-Squares Solutions of Matrix Equations(AX = B,XC = D)for Hermitian Reflexive(Anti-Hermitian Reflexive)Matrices and Its Approximation作者机构：School of Mathematical Sciences Northeast Dianli University Jilin 132012 P. R. China
出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)
年 卷 期：2011年第31卷第6期
页 面：1108-1116页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：matrix equations Hermitian reflexive matrix Anti-Hermitian reflexive matrix least-squares solution optimal approximation.
摘 要：In this paper,the Hermitian reflexive（Anti-Hermitian reflexive）least-squares so-lutions of matrix equations（AX = B,XC = D）are *** special properties of partitioned matrices and Hermitian reflexive（Anti-Hermitian reflexive）matrices,the general expression of the solution is ***,the related optimal approximation problem to a given matrix over the solution set is considered.
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