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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.