Least-squares solutions to the matrix equations AX = B and XC = D

被引：25

作者：

Yuan, Yongxin ^{[1
]}

机构：

[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 10期

关键词：

Matrix equation; Least-squares solution; Symmetric solution; SINGULAR VALUE; DECOMPOSITION; REFLEXIVE; SYSTEMS; XB;

D O I：

10.1016/j.amc.2010.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The least-squares solution and the least-squares symmetric solution with the minimum-norm of the matrix equations AX = B and XC = D are considered in this paper. By the matrix differentiation and the spectral decomposition of matrices, an explicit representation of such solution is given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3120 / 3125

页数：6

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