A System of Matrix Equations and a Linear Matrix Equation Over Arbitrary Regular Rings with Identity

A System of Matrix Equations and a Linear Matrix Equation Over Arbitrary Regular Rings with Identity
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DOI：
10.1016/j.laa.2003.12.039
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发表时间：
2003-05
期刊：
ERN: Other Econometrics: Mathematical Methods & Programming (Topic)
影响因子：
--
通讯作者：
Qingwen Wang;Shangshuai Li
Qingwen Wang;Shangshuai Li
中科院分区：
其他
文献类型：
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作者：
Qingwen Wang;Shangshuai Li

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本文研究具有恒等的任意正则环R上的经典矩阵方程组[公式：见文]。给出了系统存在的充分必要条件和通解的表达式。作为应用，考虑了线性矩阵方程AXB+CYD=E / R。
In this paper we consider the classical system of matrix equations [Formula: see text] over R , an arbitrary regular ring with identity. Necessary and sufficient conditions for the existence and the expression of the general solution to the system are derived. As an application, the linear matrix equation AXB+CYD=E over R is considered.