Least-squares k-skew-Hermitian solutions of matrix equations (AX=B,XC=D)

摘要

In this paper, least-square k-skew-Hermitian solutions of matrix equations AX=B,XC=D and the optimal approximation to the solutions are considered. The equivalent problem is found by using the relation of k-skew-Hermitian and skew-Hermitian matrix, and the general expression of solutions is obtained. In addition, the optimal approximate solution is provided.