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An iterative algorithm for solving a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices
Tongxin Yan,Changfeng Ma
Keywords:Generalized coupled Sylvester-transpose matrix equations; Bisymmetric matrix; Skew-anti-symmetric matrix; Iterative algorithm.
Abstract:
      This paper presents an iterative algorithm to solve a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices. When the matrix equations are consistent, a bisymmetric or skew-anti-symmetric solution can be obtained within finite iteration steps in the absence of round-off errors for any initial bisymmetric or skew-anti-symmetric matrix by the proposed iterative algorithm. In addition, we can obtain the least norm solution by choosing the special initial matrices. Finally, numerical examples are given to demonstrate the iterative algorithm is quite efficient.