Parallel Algorithm with Parameters Based on Alternating Direction for Solving Banded Linear Systems
Joint Authors
Ma, Xinrong
Liu, San-Yang
Xie, Gong-Nan
Xiao, Manyu
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
An efficient parallel iterative method with parameters on distributed-memory multicomputer is investigated for solving the banded linear equations in this work.
The parallel algorithm at each iterative step is executed using alternating direction by splitting the coefficient matrix and using parameters properly.
Only it twice requires the communications of the algorithm between the adjacent processors, so this method has high parallel efficiency.
Some convergence theorems for different coefficient matrices are given, such as a Hermite positive definite matrix or an M-matrix.
Numerical experiments implemented on HP rx2600 cluster verify that our algorithm has the advantages over the multisplitting one of high efficiency and low memory space, which has a considerable advantage in CPU-times costs over the BSOR one.
The efficiency for Example 1 is better than BSOR one significantly.
As to Example 2, the acceleration rates and efficiency of our algorithm are better than the PEk inner iterative one.
American Psychological Association (APA)
Ma, Xinrong& Liu, San-Yang& Xiao, Manyu& Xie, Gong-Nan. 2014. Parallel Algorithm with Parameters Based on Alternating Direction for Solving Banded Linear Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-495965
Modern Language Association (MLA)
Ma, Xinrong…[et al.]. Parallel Algorithm with Parameters Based on Alternating Direction for Solving Banded Linear Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-495965
American Medical Association (AMA)
Ma, Xinrong& Liu, San-Yang& Xiao, Manyu& Xie, Gong-Nan. Parallel Algorithm with Parameters Based on Alternating Direction for Solving Banded Linear Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-495965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495965