Generalized ASOR and Modified ASOR Methods for Saddle Point Problems
Joint Authors
Huang, Zhengge
Wang, Ligong
Xu, Zhong
Cui, Jingjing
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Recently, the accelerated successive overrelaxation- (SOR-) like (ASOR) method was proposed for saddle point problems.
In this paper, we establish a generalized accelerated SOR-like (GASOR) method and a modified accelerated SOR-like (MASOR) method, which are extension of the ASOR method, for solving both nonsingular and singular saddle point problems.
The sufficient conditions of the convergence (semiconvergence) for solving nonsingular (singular) saddle point problems are derived.
Finally, numerical examples are carried out, which show that the GASOR and MASOR methods have faster convergence rates than the SOR-like, generalized SOR (GSOR), modified SOR-like (MSOR-like), modified symmetric SOR (MSSOR), generalized symmetric SOR (GSSOR), generalized modified symmetric SOR (GMSSOR), and ASOR methods with optimal or experimentally found optimal parameters when the iteration parameters are suitably chosen.
American Psychological Association (APA)
Huang, Zhengge& Wang, Ligong& Xu, Zhong& Cui, Jingjing. 2016. Generalized ASOR and Modified ASOR Methods for Saddle Point Problems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1112266
Modern Language Association (MLA)
Huang, Zhengge…[et al.]. Generalized ASOR and Modified ASOR Methods for Saddle Point Problems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1112266
American Medical Association (AMA)
Huang, Zhengge& Wang, Ligong& Xu, Zhong& Cui, Jingjing. Generalized ASOR and Modified ASOR Methods for Saddle Point Problems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1112266
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112266