Journal Papers

1. Rafiei, A., Toutounian, F.: New breakdown-free variant of AINV method for nonsymmetric positive definite matrices. Journal of Computational and Applied  Mathematics, 219(1) 72-80 (2008). (ISI)
2. Rafiei, A., Toutounian, F.:  Breakdown-free version of ILU factorization for nonsymmetric positive definite matrices. Journal of Computational and Applied  Mathematics, 230, 699-705 (2009). (ISI)
3. Rafiei, A., Bollhoefer, M.: Extension of inverse-based dropping techniques for ILU preconditioners. Preprint.
4. Rafiei, A., Bollhoefer, M.: Robust Incomplete Factorization for Nonsymmetric matrices, Numerische Mathematik, 118(2), 247-269 (2011). (ISI)
5. Rafiei, A.,: A hybrid preconditioner to solve nonsymmetric linear system of equations. Journal of Adv. Research in Scientific Computing, 3(4), 57 – 97,(2011).
6. Rafiei, A., Shahlaei, F.,: Different Versions of ILU and IUL Factorizations obtained from Forward and Backward Factored Approximate Inverse Processes-Part I. Advances in Numerical Analysis, Volume 2011, Article ID 703435, 9 pages.
7. Rafiei, A.,: A complete pivoting strategy for the right-looking Robust Incomplete Factorization preconditioner. Computers and Mathematics with applications, 64, 2682-2694 (2012). (ISI)
8. Rafiei, A.,: ILU and IUL factorizations obtained from Forward and Backward Factored APproximate INVerse algorithms. Bulletin of the Iranian Mathematical Society. 40 (5), 1327-1346 (2014). (ISI)
9. Rafiei, A.,: Left-looking version of AINV preconditioner with complete pivoting strategy, Linear Algebra and its Applications, 445, 103–126 (2014) . (ISI)
10. Rafiei, A., Tolue, B. and Bollhoefer, M., Complete pivoting strategy for the left-looking Robust Incomplete Factorization preconditioner, Computers and Mathematics with applications, 67, 2055-2070 (2014). (ISI)
11. Salkuyeh, D., Rafiei, A., Roohani, H., ILU Preconditioning Based on the FAPINV Algorithm, Opuscula Mathematica, 35(2), 235-250 (2014).
12. Rafiei, A. and Bollhoefer, M. Complete pivoting strategy for the IUL preconditioner obtained from Backward Factored Approximate Inverse process, Bulletin of the Iranian Mathematical Society. 43 (5), 1417-1456 (2017). (ISI)
13. Rafiei, A., Bollhoefer, M. and Benkhaldoun, f., A block version of left-looking AINV preconditioner with one by one or two by two block pivots, Applied Mathematics and Computation. 390, 366-385 (2019). (ISI)
14. Rafiei, A., Tolue Haghighi, B., Computing a block incomplete LU preconditioner as the by-product of block left-looking A-biconjugation process, Journal of New Researches in Mathemematics, accepted (2019), in persian.