On the preconditioned AOR iterative method for Z-matrices

In this paper, considering a general class of preconditioners P ( α ) , we study the convergence properties of the preconditioned AOR (PAOR) iterative methods for solving linear system of equations. It is shown that the spectral radius of the iteration matrix of the PAOR method has a monotonically d...

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Bibliographic Details
Published in:Computational & applied mathematics 2017-06, Vol.36 (2), p.877-883
Main Authors: Salkuyeh, Davod Khojasteh, Hasani, Mohsen, Beik, Fatemeh Panjeh Ali
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Iterative methods
Linear systems
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
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Summary:In this paper, considering a general class of preconditioners P ( α ) , we study the convergence properties of the preconditioned AOR (PAOR) iterative methods for solving linear system of equations. It is shown that the spectral radius of the iteration matrix of the PAOR method has a monotonically decreasing property when the value of α increases.
ISSN:0101-8205
2238-3603
1807-0302
DOI:10.1007/s40314-015-0266-8