A New Version of the Accelerated Overrelaxation Iterative Method
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Hadjidimos (1978) proposed a classical accelerated overrelaxation (AOR) iterative method to solve the system of linear equations, and discussed its convergence under the conditions that the coefficient matrices are irreducible diagonal dominant, L-matrices, and consistently orders matrices.
In this paper, a new version of the AOR method is presented.
Some convergence results are derived when the coefficient matrices are irreducible diagonal dominant, H-matrices, symmetric positive definite matrices, and L-matrices.
A relational graph for the new AOR method and the original AOR method is presented.
Finally, a numerical example is presented to illustrate the efficiency of the proposed method.
American Psychological Association (APA)
Wu, Shi-Liang& Liu, Yu-Jun. 2014. A New Version of the Accelerated Overrelaxation Iterative Method. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1039758
Modern Language Association (MLA)
Wu, Shi-Liang& Liu, Yu-Jun. A New Version of the Accelerated Overrelaxation Iterative Method. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1039758
American Medical Association (AMA)
Wu, Shi-Liang& Liu, Yu-Jun. A New Version of the Accelerated Overrelaxation Iterative Method. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1039758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039758
