On the reducibility of centrosymmetric matrices—applications in engineering problems
Circuits, Systems, and Signal Processing
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Classroom Note: Centrosymmetric Matrices
SIAM Review
The general solution to a system of real quaternion matrix equations
Computers & Mathematics with Applications
Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations
Computers & Mathematics with Applications
Matrix equations over (R,S)-symmetric and (R,S)-skew symmetric matrices
Computers & Mathematics with Applications
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
An efficient algorithm for solving general coupled matrix equations and its application
Mathematical and Computer Modelling: An International Journal
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In this paper we consider bisymmetric and centrosymmetric solutions to certain matrix equations over the real quaternion algebra @?. Necessary and sufficient conditions are obtained for the matrix equation AX = C and the following systemsA"1X=C"1,A"1X=C"1,XB"3=C"3,A"2X=C"2, to have bisymmetric solutions, and the systemA"1X=C"1,A"3XB"3=C"3, to have centrosymmetric solutions. The expressions of such solutions of the matrix and the systems mentioned above are also given. Moreover a criterion for a quaternion matrix to be bisymmetric is established and some auxiliary results on other sets over @? are also mentioned.