Ruixing Lv and Wangjie Sun. A self-adaptive iterative method for solving matrix system of equations
Dynamic Systems and Applications 29 (2020) No. 4, 1111 – 1127

https://doi.org/10.46719/dsa20202948

ABSTRACT.
In this paper, a self-adaptive iterative method is presented to find the solutions of the matrix system of equations,. And by choosing the special kind of initial matrices, we can obtain the optimal approximation solution for the given matrice. Finally, a numberical example is given to illustrate the efficiency of this iterative method.

Keywords: Matrix system of equations; Optimal approximation solution; Iterative method