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ILU preconditioning based on the FAPINV algorithm

Salkuyeh D. K., Rafiei A., Roohani H.

Opuscula Mathematica

2015

Vol. 35, no. 2

235--250

A technique for computing an ILU preconditioner based on the factored approximate inverse (FAPINV) algorithm is presented. We show that this algorithm is well-defined for H-matrices. Moreover, when used in conjunction with Krylov-subspace-based iterative solvers such as the GMRES algorithm, results in reliable solvers. Numerical experiments on some test matrices are given to show the efficiency of the new ILU preconditioner.

An iterative method for symmetric positive semidefinite linear system of equations

Salkuyeh D. K.

Demonstratio Mathematica

2014

Vol. 47, nr 2

482--492

In this paper, a new two-step iterative method for solving symmetric positive semidefinite linear system of equations is presented. A sufficient condition for the semiconvergence of the method is also given. Some numerical experiments are presented to show the efficiency of the proposed method.