TY - JOUR
T1 - The Generalized Local Hermitian and Skew-Hermitian Splitting Iteration Methods for the Non-Hermitian Generalized Saddle Point Problems
AU - Hongtao Fan & Bing Zheng
JO - Journal of Computational Mathematics
VL - 3
SP - 312
EP - 331
PY - 2014
DA - 2014/06
SN - 32
DO - http://doi.org/10.4208/jcm.1401-CR6
UR - https://global-sci.org/intro/article_detail/jcm/9889.html
KW - Generalized saddle point problems, Hermitian and skew-Hermitian matrix
splitting, Iteration method, Convergence.
AB - <p style="text-align: justify;">For large and sparse saddle point problems, Zhu studied a class of generalized local Hermitian and skew-Hermitian splitting iteration methods for non-Hermitian saddle point problem [M.-Z. Zhu, Appl. Math. Comput. 218 (2012) 8816-8824 ]. In this paper, we further investigate the generalized local Hermitian and skew-Hermitian splitting (GLHSS) iteration methods for solving non-Hermitian generalized saddle point problems. With different choices of the parameter matrices, we derive conditions for guaranteeing the convergence of these iterative methods. Numerical experiments are presented to illustrate the effectiveness of our GLHSS iteration methods as well as the preconditioners.</p>