Evaluation of ST preconditioners for saddle point problems |
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| Authors: | Yunzheng Fan Xiao-yue Zhou |
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| Affiliation: | a School of Science, Nantong University, Nantong, 226007, PR Chinab Departamento de Matemática - UFPR, Centro Politécnico, CP: 19.081, 81531-990, Curitiba, Brazilc Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR Chinad Nanjing University Technology, Nanjing, 210009, PR China |
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| Abstract: | The general block ST decomposition of the saddle point problem is used as a preconditioner to transform the saddle point problem into an equivalent symmetric and positive definite system. Such a decomposition is called a block ST preconditioner. Two general block ST preconditioners are proposed for saddle point problems with symmetric and positive definite (1,1)-block. Some estimations of the condition number of the preconditioned system are given. The same study is done for singular (1,1)-block. |
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| Keywords: | 65F15 |
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