Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641610 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
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 inverse of 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Rafiei, F. Toutounian,