Title of article
The General Solution to a System of Eight Quaternion Matrix Equations with Applications
Author/Authors
Ebadi, G Faculty of Mathematical Sciences - University of Tabriz , Rashedi, S Faculty of Mathematical Sciences - University of Tabriz
Pages
12
From page
91
To page
102
Abstract
This paper studies some necessary and sufficient conditions for the existence of a solution and gives an expression of the general solution to the system of eight linear quaternion matrix equations. As an application, necessary and sufficient conditions are given for the system of certain matrix equations to have a symmetric solution. Note that in some of the mentioned conditions we use rank equalities. In addition, some numerical examples are given.
Keywords
The general solution , Quaternion matrix equations , Symmetric solution , Rank of matrix
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2422747
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