Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices
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 do...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/594185 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568342570860544 |
|---|---|
| author | Li-Tao Zhang Jian-Lei Li Tong-Xiang Gu Xing-Ping Liu |
| author_facet | Li-Tao Zhang Jian-Lei Li Tong-Xiang Gu Xing-Ping Liu |
| author_sort | Li-Tao Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2ee723f7d3f44588b7cd9652ffe02031 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2ee723f7d3f44588b7cd9652ffe020312025-02-03T00:59:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/594185594185Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-MatricesLi-Tao Zhang0Jian-Lei Li1Tong-Xiang Gu2Xing-Ping Liu3Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou, Henan 450015, ChinaCollege of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, Henan 450011, ChinaLaboratory of Computationary Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, ChinaLaboratory of Computationary Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, ChinaBased 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.http://dx.doi.org/10.1155/2014/594185 |
| spellingShingle | Li-Tao Zhang Jian-Lei Li Tong-Xiang Gu Xing-Ping Liu Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices Journal of Applied Mathematics |
| title | Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices |
| title_full | Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices |
| title_fullStr | Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices |
| title_full_unstemmed | Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices |
| title_short | Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices |
| title_sort | convergence of relaxed matrix parallel multisplitting chaotic methods for h matrices |
| url | http://dx.doi.org/10.1155/2014/594185 |
| work_keys_str_mv | AT litaozhang convergenceofrelaxedmatrixparallelmultisplittingchaoticmethodsforhmatrices AT jianleili convergenceofrelaxedmatrixparallelmultisplittingchaoticmethodsforhmatrices AT tongxianggu convergenceofrelaxedmatrixparallelmultisplittingchaoticmethodsforhmatrices AT xingpingliu convergenceofrelaxedmatrixparallelmultisplittingchaoticmethodsforhmatrices |