Title : ( New breakdown-free variant of AINV method for nonsymmetric )
Authors: Amin Rafiei , Faezeh Toutounian Mashhad ,
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Abstract
This paper proposes a new breakdown-free preconditioning technique, called SAINV-NS, of the AINV method of Benzi and Tuma for nonsymmetric positive definite matrices. The resulting preconditioner which is an incomplete factorization of the inversef a nonsymmetric matrix will be used as an explicit right preconditioner for QMR, BiCGSTAB and GMRES(m) methods. The preconditoner is reliable (pivot breakdown can not occur) and effective at reducing the number of iterations. Some numerical experiments on test matrices are presented to show the efficiency of the new method and comparing to the AINV-A algorithm.
Keywords
, Factored approximate inverses; AINV; SAINV and AINV, A methods; Preconditioning; Krylov subspace methods; Sparse matrices
@article{paperid:1009126,
author = {Rafiei, Amin and Toutounian Mashhad, Faezeh},
title = {New breakdown-free variant of AINV method for nonsymmetric},
journal = {Journal of Computational and Applied Mathematics},
year = {2008},
volume = {219},
month = {September},
issn = {0377-0427},
pages = {72--80},
numpages = {8},
keywords = {Factored approximate inverses; AINV; SAINV and AINV-A methods; Preconditioning; Krylov subspace methods; Sparse matrices},
}
%0 Journal Article
%T New breakdown-free variant of AINV method for nonsymmetric
%A Rafiei, Amin
%A Toutounian Mashhad, Faezeh
%J Journal of Computational and Applied Mathematics
%@ 0377-0427
%D 2008
