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.
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页码：3120 / 3125
页数：6
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