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Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-08
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
M-(H-)matrices appear in many areas of science and engineering, for example, in the solution of the linear complementarity problem (LCP) in optimization theory and in the solution of large systems for real-time changes of data in fluid analysis in car industry.
Classical (stationary) iterative methods used for the solution of linear systems have been shown to convergence for this class of matrices.
In this paper, we present some comparison theorems on the preconditioned AOR iterative method for solving the linear system.
Comparison results show that the rate of convergence of the preconditioned iterative method is faster than the rate of convergence of the classical iterative method.
Meanwhile, we apply the preconditioner to H-matrices and obtain the convergence result.
Numerical examples are given to illustrate our results.
American Psychological Association (APA)
Liu, Qingbing& Chen, Guo-Liang. 2010. Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-464287
Modern Language Association (MLA)
Liu, Qingbing& Chen, Guo-Liang. Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems. Mathematical Problems in Engineering No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-464287
American Medical Association (AMA)
Liu, Qingbing& Chen, Guo-Liang. Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-464287
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464287