An improvement of H. Wang preconditioner for L-matrices
2016 ◽
Vol 5
(4)
◽
pp. 182
In this paper, we improve the preconditioner, that introduced by H. Wang et al [6]. The H. Wang preconditioner \(P\in R^{n\times n}\) has only one non-zero, non-diagonal element in \(P_{n1}\) or \(P_{1n}\) , when \(a_{1n}a_{n1}\ne 0\) . But the new preconditioner has only one non-zero, non-diagonal element in \(P_{ij}\) or \(P_{ji}\) if \(a_{ij}a_{ji}\ne 0\), so the H. Wang preconditioner is a spacial case of the new preconditioner for L-matrices. Also we present two models to construct a better \(I+S\) type preconditioner for the \(AOR\) iterative method. Convergence analysis are given, numerical results are presented which show the effectiveness of the new preconditioners.
2015 ◽
Vol 18
(5)
◽
pp. 1313-1335
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Keyword(s):
2014 ◽
Vol 60
(3)
◽
pp. 459-481
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2014 ◽
Vol 05
(02)
◽
pp. 1350029
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2010 ◽
Vol 7
(1)
◽
pp. 169-186