| 广义Cholesky分解新的扰动分析 |
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| 引用本文： | 房喜明.广义Cholesky分解新的扰动分析[J].湛江师范学院学报,2009,30(3):16-20. |
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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： | 肇庆学院科学研究基金资助项目 |
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| 摘 要： | 设实对称矩阵K具有广义Cholesky分解，证得扰动矩阵的广义Cholesky分解满足：｜｜ΔL｜｜F/｜｜L｜｜2≤Kc（k）ε＋O（ε^2）．例子表明此扰动结果比以往的结果更精确．
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| 关 键 词： | 矩阵的广义Cholesky分解 扰动 矩阵范数 |
New Perturbation Analysis for the Generalized Cholesky Factorization |
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| FANG Xi-ming.New Perturbation Analysis for the Generalized Cholesky Factorization[J].Journal of Zhanjiang Normal College,2009,30(3):16-20. |
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| Authors: | FANG Xi-ming |
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| Institution: | FANG Xi-ming (Faculty of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guangdong 526061,China) |
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| Abstract: | Suppose real symmetric matrix has the generalized Cholesky factorization,it is proved that the generalized Cholesky factorization of perturbing matrix satisfies：｜｜ΔL｜｜F/｜｜L｜｜2≤Kc（k）ε＋O（ε^2）. One example shows that this perturbation result is more precise than ever. |
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| Keywords: | generalized Cholesky factorization of matrix perturbation matrix norms |
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