| 实对称矩阵的广义Cholesky分解及扰动 |
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| 引用本文： | 房喜明.实对称矩阵的广义Cholesky分解及扰动[J].肇庆学院学报,2008,29(5):14-16. |
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| 作者姓名： | 房喜明 |
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| 作者单位： | 肇庆学院,数学与信息科学学院,广东,肇庆,526061 |
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| 基金项目： | 肇庆学院校科研和教改项目 |
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| 摘 要： | 设N为实对称矩阵，证得当p（N）〈1时。存在唯一分解J＋N=（I＋L）J（I＋L）^T；在此基础上，得到一些新的扰动结论，对以往的结果略有改进。
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| 关 键 词： | 矩阵的广义Cholesky分解 扰动 矩阵范数 |
The Generalized Cholesky Factorization and Perturbation of the Real Symmetric Matrices |
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| FANG Ximing.The Generalized Cholesky Factorization and Perturbation of the Real Symmetric Matrices[J].Journal of Zhaoqing University (Bimonthly),2008,29(5):14-16. |
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| Authors: | FANG Ximing |
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| Institution: | FANG Ximing (Faculty of Mathematics and Information Seiences,Zhaoqing University, Zhaoqing Guangdong 526061, China) |
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| Abstract: | Let N be a real symmetric matrix, N exists the one and only generalized Cholesky factorization J＋N=（I＋L）J（I＋L）^T when it satisfies the condition：p（N）〈 1.Some perturbation theories which connected with the conclusion are introduced, which improve the recent results in a brief. |
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| Keywords: | the matrix generalized Cholesky factorization perturbation matrix norms |
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