KMS Of Academy of mathematics and systems sciences, CAS
The convergence of parallel iteration algorithms for linear complementarity problems | |
Bai, ZZ | |
1996-11-01 | |
Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
ISSN | 0898-1221 |
Volume | 32Issue:9Pages:1-17 |
Abstract | For the linear complementarity problem, we set up a class of parallel matrix multisplitting accelerated overrelaxation (AOR) algorithm suitable to multiprocessor systems (SIMD-systems). This new algorithm, when its relaxation parameters are suitably chosen, can not only afford extensive choices for parallely serving the linear complementarity problems, but also can greatly improve the convergence property of itself. When the system matrices of the problems are either H-matrices with positive diagonal elements or symmetric positive definite matrices, we establish convergence theories of the new algorithm in a detailed manner. |
Keyword | linear complementarity problem matrix multisplitting accelerated overrelaxation technique H-matrix symmetric positive definite matrix convergence theory |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:A1996VU10800001 |
Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/28830 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Bai, ZZ |
Affiliation | CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,POB 2719,BEIJING 100080,PEOPLES R CHINA |
Recommended Citation GB/T 7714 | Bai, ZZ. The convergence of parallel iteration algorithms for linear complementarity problems[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1996,32(9):1-17. |
APA | Bai, ZZ.(1996).The convergence of parallel iteration algorithms for linear complementarity problems.COMPUTERS & MATHEMATICS WITH APPLICATIONS,32(9),1-17. |
MLA | Bai, ZZ."The convergence of parallel iteration algorithms for linear complementarity problems".COMPUTERS & MATHEMATICS WITH APPLICATIONS 32.9(1996):1-17. |
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