Factorized-Sparse-Approximate-Inverse Preconditionings of Linear Systems with Unsymmetric Matrices |
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| Authors: | A Yu Yeremin A A Nikishin |
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| Institution: | (1) Scientific Research Computing Center of the Moscow State University, Russia;(2) Computing Center of the Russian Academy of Sciences, Russia |
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| Abstract: | The paper considers the application of factorized-sparse-approximate-inverse (FSAI) preconditionings to linear algebraic systems with nonsingular unsymmetric coefficient matrices. Special attention is paid to methods for optimizing the sparsity pattern of such preconditioners. It is numerically demonstrated that the efficiency of FSAI preconditionings can be substantially improved by applying the so-called postfiltering and prefiltering in order to sparsify preconditioning matrices. Bibliography: 20 titles. |
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