TY - JOUR ID - Salkuyeh2015 LB - Salkuyeh2015 AU - Salkuyeh, Davod Khojasteh AU - Rafiei, Amin AU - Roohani, Hadi TI - ILU preconditioning based on the FAPINV algorithm ST - ILU preconditioning based on the FAPINV algorithm JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2015 VL - 35 IS - 2 SP - 235 EP - 250 DO - http://dx.doi.org/10.7494/OpMath.2015.35.2.235 UR - http://dx.doi.org/10.7494/OpMath.2015.35.2.235 AB - 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. KW - system of linear equations KW - preconditioner KW - FAPINV KW - ILU preconditioner KW - H-matrix KW - GMRES SN - 1232-9274 ER -