@Article{JCM-32-284,
author = {Ruiping Wen, Guoyan Meng and Chuanlong Wang},
title = {Parallel Quasi-Chebyshev Acceleration to Nonoverlapping Multisplitting Iterative Methods Based on Optimization},
journal = {Journal of Computational Mathematics},
year = {2014},
volume = {32},
number = {3},
pages = {284--296},
abstract = {<p style="text-align: justify;">In this paper, we present a parallel quasi-Chebyshev acceleration applied to the nonoverlapping multisplitting iterative method for the linear systems when the coefficient matrix is either an $H$-matrix or a symmetric positive definite matrix. First, $m$ parallel iterations are implemented in $m$ different processors. Second, based on $l_1$-norm or $l_2$-norm, the $m$ optimization models are parallelly treated in $m$ different processors. The convergence theories are established for the parallel quasi-Chebyshev accelerated method. Finally, the numerical examples show that the parallel quasi-Chebyshev technique can significantly accelerate the nonoverlapping multisplitting iterative method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1401-CR1},
url = {http://global-sci.org/intro/article_detail/jcm/9886.html}
}