2014Opuscula MathematicaOpen access

ILU preconditioning based on the FAPINV algorithm

Davod Khojasteh Salkuyeh, Amin Rafiei, Hadi Roohani

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Mathematics, Algorithm

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