A method for verifying the accuracy of numerical solutions of symmetric saddle point linear systems |
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| Authors: | Ryo Kobayashi Takuma Kimura Shin’ichi Oishi |
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| Affiliation: | 1.Graduate School of Fundamental Science and Engineering,Waseda University,Tokyo,Japan;2.Graduate School of Science and Engineering,Saga University,Saga,Japan |
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| Abstract: | A fast numerical verification method is proposed for evaluating the accuracy of numerical solutions for symmetric saddle point linear systems whose diagonal blocks of the coefficient matrix are semidefinite matrices. The method is based on results of an algebraic analysis of a block diagonal preconditioning. Some numerical experiments are present to illustrate the usefulness of the method. |
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