A solution of system of linear matrix equations by matrix of matrices

Document Type : Regular Articles

Authors

1 Dept. of Math., Faculty of Science, Sohag University, Sohag 82524, Egypt

2 Dept. of Math., Faculty of Science, South Valley University, Qena 83523, Egypt.

Abstract

It is well-known that the matrix equations play an important role in engineering and applied sciences. In this paper, we define and study a system of linear matrix equations. Also, we define the notions of vector of matrices (for short, VMs), linearly dependent, independent VMs and rank of the matrix of matrices (for short, MMs) which introduced recently by Kishka and et al. [1,2].We propose three methods for computing the solution of this system.

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