TY - JOUR
T1 - On Preconditioned MHSS Real-Valued Iteration Methods for a Class of Complex Symmetric Indefinite Linear Systems
AU - Zhi-Ru Ren, Yang Cao & Li-Li Zhang
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 192
EP - 210
PY - 2018
DA - 2018/02
SN - 6
DO - http://doi.org/10.4208/eajam.141015.260216a
UR - https://global-sci.org/intro/article_detail/eajam/10789.html
KW - Complex linear systems, PMHSS iteration, real-valued form, convergence, preconditioning.
AB - <p style="text-align: justify;">A generalized preconditioned modified Hermitian and skew-Hermitian splitting
(GPMHSS) real-valued iteration method is proposed for a class of complex symmetric
indefinite linear systems. Convergence theory is established and the spectral
properties of an associated preconditioned matrix are analyzed. We also give several
variants of the GPMHSS preconditioner and consider the spectral properties of the preconditioned matrices. Numerical examples illustrate the effectiveness of our proposed
method.</p>