TY - JOUR
T1 - Self-Adaptive Extrapolated Gauss-Seidel Iterative Methods
AU - Meng , Guo-Yan
AU - Wen , Rui-Ping
JO - Journal of Mathematical Study
VL - 1
SP - 18
EP - 29
PY - 2015
DA - 2015/03
SN - 48
DO - http://doi.org/10.4208/jms.v48n1.15.02
UR - https://global-sci.org/intro/article_detail/jms/9907.html
KW - Hermitian positive definite, Gauss-Seidel iteration, self-adaptive, extrapolated, linear systems.
AB - <p style="text-align: justify;">In this paper, we consider a self-adaptive extrapolated Gauss-Seidel method
for solving the Hermitian positive definite linear systems. Based on optimization models,
self-adaptive optimal factor is given. Moreover, we prove the convergence of the
self-adaptive extrapolated Gauss-Seidel method without any constraints on optimal
factor. Finally, the numerical examples show that the self-adaptive extrapolated Gauss-Seidel method is effective and practical in iteration number.</p>