@Article{JCM-37-2,
author = {Liu, Kai and Guiding, Gu},
title = {Improved PMHSS Iteration Methods for Complex Symmetric Linear Systems},
journal = {Journal of Computational Mathematics},
year = {2019},
volume = {37},
number = {2},
pages = {278--296},
abstract = {<p style="text-align: justify;">Based on the preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS)
iteration method for the complex symmetric linear system, two improved iterative
methods, namely, the modified PMHSS (MPMHSS) method and the double modified
PMHSS (DMPMHSS) method, are proposed in this paper. The spectral radii of the
iteration matrices of two methods are given. We show that by choosing an appropriate
parameter, MPMHSS could speed up the convergence on PMHSS. The DMPMHSS
method is a four-step alternating iteration that is developed upon the two-step alternating
iteration of MPMHSS. We discuss the choice of the parameters and establish the convergence
of DMPMHSS. In particular, we give an analysis of the spectral radius of PMHSS
and DMPMHSS at the parameter free situation, and we show that DMPMHSS converges
faster than PMHSS in most cases. Our numerical experiments show these points.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1702-m2017-0007},
url = {https://global-sci.com/article/84400/improved-pmhss-iteration-methods-for-complex-symmetric-linear-systems}
}