Solvability Conditions and General Solution of a System of Matrix Equations Involving <i>η</i>-Skew-Hermitian Quaternion Matrices

Solvability Conditions and General Solution of a System of Matrix Equations Involving <i>η</i>-Skew-Hermitian Quaternion Matrices

In this article, we study the solvability conditions and the general solution of a system of matrix equations involving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math...

Full description

Bibliographic Details
Main Authors: Abdur Rehman, Israr Ali Khan, Rukhshanda Anjum, Iftikhar Hussain
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Symmetry
Subjects:
matrix equation
quaternions
general solution
Online Access:https://www.mdpi.com/2073-8994/13/10/1825
Description
Summary:In this article, we study the solvability conditions and the general solution of a system of matrix equations involving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.
ISSN:2073-8994

Similar Items