DocumentCode
3368217
Title
Preconditioned AOR Iterative Method for M-Matrix
Author
Qiufang Xue ; Xingbao Gao ; Xiaoguang Liu
Author_Institution
Coll. of Math. & Inf. Sci., Shaanxi Normal Univ., Xi´an, China
fYear
2013
fDate
14-15 Dec. 2013
Firstpage
372
Lastpage
376
Abstract
In this paper, we propose a new selection mode of ´r, t´ for the preconditioner I+C and analyze the convergence performance of the preconditioned AOR iterative method induced by this preconditioner. For a nonsingular M-matrix, we show that the preconditioned AOR iterative method with this choice and the preconditioned methods advised by Evans et al. are all convergent, and that the preconditioned method with the preconditioner I+C has faster convergence speed than the original AOR method. Finally, the limit numerical results are provided to support the obtained results.
Keywords
convergence of numerical methods; iterative methods; matrix algebra; convergence performance analysis; convergence speed; nonsingular M-matrix; preconditioned AOR iterative method; preconditioner I+C; Acceleration; Art; Convergence; Educational institutions; Iterative methods; Jacobian matrices; Vectors; Mmatrix; irreducible M-matrix; preconditioned AOR iterative method; spectral radius;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Security (CIS), 2013 9th International Conference on
Conference_Location
Leshan
Print_ISBN
978-1-4799-2548-3
Type
conf
DOI
10.1109/CIS.2013.85
Filename
6746421
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