A. Rafiei
Department of Applied Mathematics, Hakim Sabzevari University, Sabzevar, Iran.
[ 1 ] - Complete pivoting strategy for the $IUL$ preconditioner obtained from Backward Factored APproximate INVerse process
In this paper, we use a complete pivoting strategy to compute the IUL preconditioner obtained as the by-product of the Backward Factored APproximate INVerse process. This pivoting is based on the complete pivoting strategy of the Backward IJK version of Gaussian Elimination process. There is a parameter $alpha$ to control the complete pivoting process. We have studied the effect of dif...
[ 2 ] - ILU and IUL factorizations obtained from forward and backward factored approximate inverse algorithms
In this paper, an efficient dropping criterion has been used to compute the IUL factorization obtained from Backward Factored APproximate INVerse (BFAPINV) and ILU factorization obtained from Forward Factored APproximate INVerse (FFAPINV) algorithms. We use different drop tolerance parameters to compute the preconditioners. To study the effect of such a dropping on the quality of the ILU ...
[ 3 ] - Computing a block incomplete LU preconditioner as the by-product of block left-looking A-biconjugation process
In this paper, we present a block version of incomplete LU preconditioner which is computed as the by-product of block A-biconjugation process. The pivot entries of this block preconditioner are one by one or two by two blocks. The L and U factors of this block preconditioner are computed separately. The block pivot selection of this preconditioner is inherited from one of the block versions of...
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