on hybrid preconditioning methods for large sparse saddle-point problems |
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Authors: | Zeng-Qi Wang |
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Affiliation: | Department of Mathematics, Shanghai Jiaotong University, 800 Dongchuan Road, Shanghai 200240, PR China |
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Abstract: | Based on the block-triangular product approximation to a 2-by-2 block matrix, a class of hybrid preconditioning methods is designed for accelerating the MINRES method for solving saddle-point problems. The appropriate values for the parameters involved in the new preconditioners are estimated, so that the numerical conditioning and the spectral property of the saddle-point matrix of the linear system can be substantially improved. Several practical hybrid preconditioners and the corresponding preconditioning iterative methods are constructed and studied, too. |
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Keywords: | 65F10 65F50 65W05 CR G1.3 |
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