A MODIFIED HSS ITERATION METHOD FOR SOLVING THE COMPLEX LINEAR MATRIX EQUATION AXB = C  

作　　者：Rong Zhou XiangWang Peng Zhou 

机构地区：[1]Department of Mathematics, School of Sciences, Nanchang University, Nanchang, China [2]Numerical Simulation and High-Performance Computing Laboratory, School of Sciences, Nanchang University, Nanchang, China

出　　处：《Journal of Computational Mathematics》2016年第4期437-450,共14页计算数学（英文）

摘　　要：In this paper, a modified Hermitian and skew-Hermitian splitting （MHSS） iteration method for solving the complex linear matrix equation AXB = C has been presented. As the theoretical analysis shows, the MHSS iteration method will converge under cer- tain conditions. Each iteration in this method requires the solution of four linear matrix equations with real symmetric positive definite coefficient matrices, although the original coefficient matrices are complex and non-Hermitian. In addition, the optimal parameter of the new iteration method is proposed. Numerical results show that MHSS iteration method is efficient and robust.In this paper, a modified Hermitian and skew-Hermitian splitting （MHSS） iteration method for solving the complex linear matrix equation AXB = C has been presented. As the theoretical analysis shows, the MHSS iteration method will converge under cer- tain conditions. Each iteration in this method requires the solution of four linear matrix equations with real symmetric positive definite coefficient matrices, although the original coefficient matrices are complex and non-Hermitian. In addition, the optimal parameter of the new iteration method is proposed. Numerical results show that MHSS iteration method is efficient and robust.

关 键 词：MHSS iteration method HSS iteration method Linear matrix equation. 

分 类 号：O151.21[理学—数学] O241.6[理学—基础数学]