@Article{Salkuyeh2015, author = "Salkuyeh, Davod Khojasteh and Rafiei, Amin and Roohani, Hadi", title = "ILU preconditioning based on the FAPINV algorithm", journal = "Opuscula Math.", year = "2015", volume = "35", number = "2", pages = "235--250", doi = "http://dx.doi.org/10.7494/OpMath.2015.35.2.235", url = "http://dx.doi.org/10.7494/OpMath.2015.35.2.235", 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.", keywords = "system of linear equations, preconditioner, FAPINV, ILU preconditioner, H-matrix, GMRES", issn = "1232-9274" }