| Spectral Analysis for HSS Preconditioners |
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| 作者单位： | Department of Mathematics Hong Kong Baptist University Kowloon Tong，Hong Kong.，Department of Mathematics The University of Hong Kong，Pokfulam Road，Hong Kong. |
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| 基金项目： | Hong Kong资助项目，HKBU FRGs |
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| 摘 要： | In this paper,we are interested in HSS preconditioners for saddle point lin- ear systems with a nonzero(2,2)-th block.We study an approximation of the spectra of HSS preconditioned matrices and use these results to illustrate and explain the spectra obtained from numerical examples,where the previous spectral analysis of HSS precon- ditioned matrices does not cover.
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| 关 键 词： | 迭代方法 预处理 光谱分析 数学模拟 |
Spectral Analysis for HSS Preconditioners |
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| Authors: | Lung Chak Chan Michael KNg Nam Kiu Tsing |
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| Institution: | 1. Department of Mathematics, The University of Hong Kong, Pokfulam Road,Hong Kong
2. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong |
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| Abstract: | In this paper, we are interested in HSS preconditioners for saddle point lin-ear systems with a nonzero (2, 2)-th block. We study an approximation of the spectra of HSS preconditioned matrices and use these results to illustrate and explain the spectra obtained from numerical examples, where the previous spectral analysis of HSS precon-ditioned matrices does not cover. |
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| Keywords: | Saddle point problems iterative methods preconditioning eigenvalues |
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