@Article{EAJAM-6-367,
author = {Min-Li Zeng and Guo-Feng Zhang},
title = {A Class of Preconditioned TGHSS-Based Iteration Methods for Weakly Nonlinear Systems},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {6},
number = {4},
pages = {367--383},
abstract = {<p style="text-align: justify;">In this paper, we first construct a preconditioned two-parameter generalized
Hermitian and skew-Hermitian splitting (PTGHSS) iteration method based on the
two-parameter generalized Hermitian and skew-Hermitian splitting (TGHSS) iteration
method for non-Hermitian positive definite linear systems. Then a class of PTGHSS-based
iteration methods are proposed for solving weakly nonlinear systems based on
separable property of the linear and nonlinear terms. The conditions for guaranteeing
the local convergence are studied and the quasi-optimal iterative parameters are derived. Numerical experiments are implemented to show that the new methods are feasible and effective for large scale systems of weakly nonlinear systems.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.150116.240516a},
url = {http://global-sci.org/intro/article_detail/eajam/10805.html}
}