A simple method for solving matrix equations $ AXB = D $ and $ GXH = C $

A simple method to solve the common solution to the pair of linear matrix equations $ AXB = D $ and $ GXH = C $ is introduced. Some necessary and sufficient conditions for the existence of a common solution, and two expressions for the general common solution of the equation pair are provided by the...

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Bibliographic Details
Main Authors: Huiting Zhang, Hairui Zhang, Lina Liu, Yongxin Yuan
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
Online Access:http://awstest.aimspress.com/article/doi/10.3934/math.2021156?viewType=HTML