Alternating direction methods for solving a class of Sylvester-like matrix equations
Yifen Ke, Chang-Feng Ma · Linear and Multilinear Algebra · 2017
This paper presents two alternating direction methods for the solution and the best approximate solution of a class of Sylvester-like matrix equations and , where A, B, C, D, G and H are given matrices of suitable sizes. Convergence properties of the proposed algorithms are given. Numerical experiments show that the proposed algorithms tend to deliver higher quality solutions with less iteration steps and computing time than one recent algorithm on the tested problems.