Real iterative algorithms for a common solution to the complex conjugate matrix equation system

摘要

In this paper, we propose a new algorithm for the computation of the common solution to the complex conjugate matrix equation system A(i)XB(i) + C-i(X) over barD(i) = E-i, i = 1, 2,..., N. The algorithms only need finite iteration steps, requiring only real computation. Furthermore, the algorithm can be extended to solve a more general complex matrix equation system. Two numerical examples are given to illustrate the effectiveness of the proposed algorithm. (C) 2015 Elsevier Inc. All rights reserved.