| Stability of T. Chan＇s Preconditioner from Numerical Range |
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| 引用本文： | Cheman Cheng Xiaoqing Jin Vaikuong Sin. Stability of T. Chan＇s Preconditioner from Numerical Range[J]. 高等学校计算数学学报(英文版), 2007, 16(1): 28-36 |
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| 作者姓名： | Cheman Cheng Xiaoqing Jin Vaikuong Sin |
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| 作者单位： | [1]Department of Mathematics, University of Macau, Macao. [2]Department of Electromechanical Engineering, University of Macau, Macao. |
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| 基金项目： | The research is partially supported by the grant RG081/04-05S/JXQ/FST from University of Macau and the grant 050/2005/A from FDCT. |
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| 摘 要： | A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper, for any matrix An, we discuss the stability properties of T. Chan＇s preconditioner cU（An） from the viewpoint of the numerical range. An application in numerical ODEs is also given.
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| 关 键 词： | 稳定性 数值域 本征值 边值定理 |
| 收稿时间： | 2005-09-01 |
| 修稿时间： | 2006-09-20 |
Stability of T.Chan''''s Preconditioner from Numerical Range |
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| Cheman Cheng,Xiaoqing Jin,Vaikuong Sin. Stability of T.Chan''''s Preconditioner from Numerical Range[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2007, 16(1): 28-36 |
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| Authors: | Cheman Cheng Xiaoqing Jin Vaikuong Sin |
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| Abstract: | A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper, for any matrix An, we discuss the stability properties of T. Chan's preconditioner cu(An) from the viewpoint of the numerical range. An application in numerical ODEs is also given. |
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| Keywords: | T.Chan's preconditioner stability numerical range boundary value method |
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