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Convergence Results on Iteration Algorithms to Linear Systems
Joint Authors
Yuan, Y.-B.
Wang, Zhuande
Yang, Chuansheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
In order to solve the large scale linear systems, backward and Jacobi iteration algorithms are employed.
The convergence is the most important issue.
In this paper, a unified backward iterative matrix is proposed.
It shows that some well-known iterative algorithms can be deduced with it.
The most important result is that the convergence results have been proved.
Firstly, the spectral radius of the Jacobi iterative matrix is positive and the one of backward iterative matrix is strongly positive (lager than a positive constant).
Secondly, the mentioned two iterations have the same convergence results (convergence or divergence simultaneously).
Finally, some numerical experiments show that the proposed algorithms are correct and have the merit of backward methods.
American Psychological Association (APA)
Wang, Zhuande& Yang, Chuansheng& Yuan, Y.-B.. 2014. Convergence Results on Iteration Algorithms to Linear Systems. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1049015
Modern Language Association (MLA)
Wang, Zhuande…[et al.]. Convergence Results on Iteration Algorithms to Linear Systems. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1049015
American Medical Association (AMA)
Wang, Zhuande& Yang, Chuansheng& Yuan, Y.-B.. Convergence Results on Iteration Algorithms to Linear Systems. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1049015
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049015