TY - JOUR
T1 - Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 143
EP - 155
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.260816.051216a
UR - https://global-sci.org/intro/article_detail/eajam/10740.html
KW - Preconditioning, complex systems of linear equations, PMHSS method, GPMHSS method,
AGPMHSS method.
AB - <p style="text-align: justify;">Preconditioned modified Hermitian and skew-Hermitian splitting method
(PMHSS) is an unconditionally convergent iteration method for solving large sparse
complex symmetric systems of linear equations, and uses one parameter α. Adding
another parameter β, the generalized PMHSS method (GPMHSS) is essentially a two-parameter
iteration method. In order to accelerate the GPMHSS method, using an unexpected
way, we propose an accelerated GPMHSS method (AGPMHSS) for large complex
symmetric linear systems. Numerical experiments show the numerical behavior of our
new method.</p>