Year: 2020
Author: Tahereh Salimi Siahkolaei, Davod Khojasteh Salkuyeh
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 1–21
Abstract
We present Picard-TTSCSP and nonlinear TTSCSP-like iteration methods for systems of weakly nonlinear equations. These methods require solving two subsystems with constant positive definite coefficient matrices. Such subsystems are solved by the conjugate gradient method. Local convergence of the methods is established and numerical experiments demonstrate the efficiency of the methods.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.281018.100419
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 1–21
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Weakly nonlinear system TTSCSP iteration method inner/outer iteration scheme.
Author Details
-
MDSS-based iteration method for weakly nonlinear systems with complex coefficient matrices
Xiao, Yao | Wu, Qingbiao | Zhang, YuanyuanJournal of Applied Mathematics and Computing, Vol. 69 (2023), Iss. 5 P.3579
https://doi.org/10.1007/s12190-023-01894-4 [Citations: 0] -
AQTTTS-based iteration methods for weakly nonlinear systems with diagonal-plus-Toeplitz structure
Xu, Ruo-Cheng | Chen, Min-Hong | Dai, Ping-FeiComputational and Applied Mathematics, Vol. 41 (2022), Iss. 4
https://doi.org/10.1007/s40314-022-01894-3 [Citations: 1] -
Generalized SOR-like iteration method for solving weakly nonlinear systems
Zhang, Fujie | Huang, NaInternational Journal of Computer Mathematics, Vol. 99 (2022), Iss. 8 P.1579
https://doi.org/10.1080/00207160.2021.1994961 [Citations: 1]