Iterative solutions to the linear matrix equation AXB + CXTD = E

被引：0

作者：

Yuan, Yongxin ^{[1
]}

Jiang, Jiashang ^{[1
]}

机构：

[1] School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China

来源：

World Academy of Science, Engineering and Technology | 2011年 / 55卷

关键词：

Iterative methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB + CXT D = E, where X is unknown matrix, A, B, C, D, E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two numerical examples show that the introduced iterative algorithm is quite efficient.

引用

页码：1114 / 1117