@Article{JMS-48-18, author = {Meng , Guo-Yan and Wen , Rui-Ping}, title = {Self-Adaptive Extrapolated Gauss-Seidel Iterative Methods}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {1}, pages = {18--29}, abstract = {

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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n1.15.02}, url = {http://global-sci.org/intro/article_detail/jms/9907.html} }