Kishka, Z., Abdalla, M., Elrawy, A. (2018). A solution of system of linear matrix equations by matrix of matrices. test, 3(2), 9-17. doi: 10.21608/sjsci.2018.233273
Z. Kishka; M. Abdalla; A. Elrawy. "A solution of system of linear matrix equations by matrix of matrices". test, 3, 2, 2018, 9-17. doi: 10.21608/sjsci.2018.233273
Kishka, Z., Abdalla, M., Elrawy, A. (2018). 'A solution of system of linear matrix equations by matrix of matrices', test, 3(2), pp. 9-17. doi: 10.21608/sjsci.2018.233273
Kishka, Z., Abdalla, M., Elrawy, A. A solution of system of linear matrix equations by matrix of matrices. test, 2018; 3(2): 9-17. doi: 10.21608/sjsci.2018.233273

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

Sohag Journal of Sciences
Volume 3, Issue 2, May 2018, Pages 9-17    PDF (219.69 K)
Document Type: Regular Articles
DOI: 10.21608/sjsci.2018.233273
Authors
Z. Kishka1; M. Abdalla2; A. Elrawy* 2
1Dept. of Math., Faculty of Science, Sohag University, Sohag 82524, Egypt
2Dept. 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.
Keywords
MMs; system of linear matrix equations; rank of MMs
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