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233273

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

Article

Last updated: 29 Dec 2024

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Subjects

-

Tags

Pure mathematics

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.

DOI

10.21608/sjsci.2018.233273

Keywords

MMs, system of linear matrix equations, rank of MMs

Authors

First Name

Z.

Last Name

Kishka

MiddleName

-

Affiliation

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

Email

-

City

-

Orcid

-

First Name

M.

Last Name

Abdalla

MiddleName

-

Affiliation

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

Email

-

City

Qena

Orcid

-

First Name

A.

Last Name

Elrawy

MiddleName

-

Affiliation

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

Email

amrmath1985@yahoo.com

City

-

Orcid

-

Volume

3

Article Issue

2

Related Issue

33469

Issue Date

2018-05-01

Receive Date

2022-04-25

Publish Date

2018-05-01

Page Start

9

Page End

17

Print ISSN

2357-0938

Online ISSN

2974-4296

Article File

SJSCI_Volume 3_Issue 2_Pages 9-17.pdf

PDF . 225.0kB

Link

https://sjsci.journals.ekb.eg/article_233273.html

Detail API

https://sjsci.journals.ekb.eg/service?article_code=233273

Order

233,273

Type

Regular Articles

Type Code

2,359

Publication Type

Journal

Publication Title

Sohag Journal of Sciences

Publication Link

https://sjsci.journals.ekb.eg/

MainTitle

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

Details

Type

Article

Created At

23 Jan 2023