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
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
