Some generalizations of the new SOR-like method for solving symmetric saddle-point problems

Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the original method...

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Detalles Bibliográficos
Autores principales: Wen, Ruiping, Wu, Ruihuan, Guan, Jinrui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6018632/
https://www.ncbi.nlm.nih.gov/pubmed/30008533
http://dx.doi.org/10.1186/s13660-018-1738-3
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author Wen, Ruiping
Wu, Ruihuan
Guan, Jinrui
author_facet Wen, Ruiping
Wu, Ruihuan
Guan, Jinrui
author_sort Wen, Ruiping
collection PubMed
description Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the original method. Convergence of these methods is discussed under suitable restrictions on iteration parameters. Numerical experiments are given to show that these methods are effective and efficient.
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spelling pubmed-60186322018-07-11 Some generalizations of the new SOR-like method for solving symmetric saddle-point problems Wen, Ruiping Wu, Ruihuan Guan, Jinrui J Inequal Appl Research Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the original method. Convergence of these methods is discussed under suitable restrictions on iteration parameters. Numerical experiments are given to show that these methods are effective and efficient. Springer International Publishing 2018-06-26 2018 /pmc/articles/PMC6018632/ /pubmed/30008533 http://dx.doi.org/10.1186/s13660-018-1738-3 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wen, Ruiping
Wu, Ruihuan
Guan, Jinrui
Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_full Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_fullStr Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_full_unstemmed Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_short Some generalizations of the new SOR-like method for solving symmetric saddle-point problems
title_sort some generalizations of the new sor-like method for solving symmetric saddle-point problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6018632/
https://www.ncbi.nlm.nih.gov/pubmed/30008533
http://dx.doi.org/10.1186/s13660-018-1738-3
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