EPr Solution to a System of Matrix Equations

• 作者: Changzhou Dong Jianmin Song Yuping Zhang
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: EP MATRIX MATRIX Equation Moore-Penrose INVERSE APPROXIMATION Problem Least SQUARES SOLUTION
• 年，卷（期）: 2013,（4）
• 页码范围: 50-54
• 页数: 5页
• 分类号: O1

摘要

A square complex matrix is called if it can be written in the form with being fixed unitary and being arbitrary matrix in . We give necessary and sufficient conditions for the existence of the solution to the system of complex matrix equation and present an expression of the solution to the system when the solvability conditions are satisfied. In addition, the solution to an optimal approximation problem is obtained. Furthermore, the least square solution with least norm to this system mentioned above is considered. The representation of such solution is also derived.