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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
A matrix A = (ai;j) 2 Rn×n is called bisymmetric matrix if ai;j = aj;i =an+1-j;n+1-i holds for all 1≤i; j≤n. In this paper, an efficient algorithm is presented to find the bisymmetric solution of the general coupled matrix equations. When the general coupled matrix equations is consistent on bisymmetric solutions, then for any initial bisymmetric matrix group, a group of bisymmetric solution can be obtained within finite iterative steps in the absence of round off errors, and the least norm bisymmetric solution can be obtained by choosing a group of special kind of initial matrices. Finally, we test the algorithm and show it is effectiveness by a numerical example.
Keywords:The general coupled matrix equations;Least norm solution;Bisymmetric solution