@Article{EAJAM-7-101,
author = {Rui-Ping Wen, Su-Dan Li and Guo-Yan Meng},
title = {SOR-Like Methods with Optimization Model for Augmented Linear Systems},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {1},
pages = {101--115},
abstract = {<p style="text-align: justify;">There has been a lot of study on the SOR-like methods for solving the augmented
system of linear equations since the outstanding work of Golub, Wu and Yuan
(BIT 41(2001)71-85) was presented fifteen years ago. Based on the SOR-like methods,
we establish a class of accelerated SOR-like methods for large sparse augmented linear
systems by making use of optimization technique, which will find the optimal relaxation
parameter ω by optimization models. We demonstrate the convergence theory of the
new methods under suitable restrictions. The numerical examples show these methods
are effective.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.010916.261116a},
url = {http://global-sci.org/intro/article_detail/eajam/10737.html}
}