Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices
Joint Authors
Li, Jian-Lei
Zhang, Li-Tao
Gu, Tong-Xiang
Liu, Xing-Ping
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on the methods presented by Song and Yuan (1994), we construct relaxed matrix parallel multisplitting chaotic generalized USAOR-style methods by introducing more relaxed parameters and analyze the convergence of our methods when coefficient matrices are H-matrices or irreducible diagonally dominant matrices.
The parameters can be adjusted suitably so that the convergence property of methods can be substantially improved.
Furthermore, we further study some applied convergence results of methods to be convenient for carrying out numerical experiments.
Finally, we give some numerical examples, which show that our convergence results are applied and easily carried out.
American Psychological Association (APA)
Zhang, Li-Tao& Li, Jian-Lei& Gu, Tong-Xiang& Liu, Xing-Ping. 2014. Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-483602
Modern Language Association (MLA)
Zhang, Li-Tao…[et al.]. Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-483602
American Medical Association (AMA)
Zhang, Li-Tao& Li, Jian-Lei& Gu, Tong-Xiang& Liu, Xing-Ping. Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-483602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483602