TY - JOUR
T1 - The Variants of the MGSS Methods for Complex Symmetric Linear System of Equations
AU - Ma , Changfeng
AU - Yu , Xiaojuan
JO - Communications in Mathematical Research 
VL - 2
SP - 173
EP - 188
PY - 2025
DA - 2025/06
SN - 41
DO - http://doi.org/10.4208/cmr.2025-0017
UR - https://global-sci.org/intro/article_detail/cmr/24190.html
KW - Complex symmetric linear system, variants of MGSS method, convergence
analysis.
AB - <p style="text-align: justify;">Recently, inspired by a modified generalized shift-splitting iteration
method for complex symmetric linear systems, we propose two variants of the
modified generalized shift-splitting iteration (MGSS) methods for solving complex symmetric linear systems. One is a parameterized MGSS iteration method
and the other is a modified parameterized MGSS iteration method. We prove
that the proposed methods are convergent under appropriate constraints on
the parameters. In addition, we also give the eigenvalue distributions of different preconditioned matrices to verify the effectiveness of the preconditioners
proposed in this paper.</p>