Improvements of preconditioned SOR iterative method for L-matrices

Authors:
Shi-Liang Wu;Cui-Xia Li;Ting-Zhu Huang
Affiliations:
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, People's Republic of China;School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan, People's Republic of China;School of Mathematics and Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, People's Republic of China
Venue:
WSEAS Transactions on Mathematics
Year:
2010

Citing 4
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A comparison theorem for the iterative method with the preconditioner (I + Smax)

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Improvements of preconditioned AOR iterative method for L-matrices

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A note on the modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems

WSEAS Transactions on Mathematics

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Abstract

In this paper, we present some comparison theorems on preconditioned iterative method for solving L-matrices linear systems. Comparison results and numerical examples show that the rate of convergence of the preconditioned Gauss-Seidel iterative method is faster than the rate of convergence of the preconditioned SOR iterative method.