Abstract
We use the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method to solve a class of complex nonsymmetric singular linear systems. The semi-convergence properties of the MHSS method are studied by analyzing the spectrum of the iteration matrix. Moreover, after investigating the semi-convergence factor and estimating its upper bound for the MHSS iteration method, an optimal iteration parameter that minimizes the upper bound of the semi-convergence factor is obtained. Numerical experiments are used to illustrate the theoretical results and examine the effectiveness of the MHSS method served both as a preconditioner for GMRES method and as a solver.
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Yang, AL., Wu, YJ. & Xu, ZJ. The semi-convergence properties of MHSS method for a class of complex nonsymmetric singular linear systems. Numer Algor 66, 705–719 (2014). https://doi.org/10.1007/s11075-013-9755-2
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DOI: https://doi.org/10.1007/s11075-013-9755-2