A note on the perturbation analysis for the generalized Cholesky factorization

A note on the perturbation analysis for the generalized Cholesky factorization
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DOI：
10.1016/j.amc.2009.12.009
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发表时间：
2010-02
期刊：
Appl. Math. Comput.
影响因子：
--
通讯作者：
Hanyu Li;Hu Yang;Hua Shao
Hanyu Li;Hu Yang;Hua Shao
中科院分区：
其他
文献类型：
--
作者：
Hanyu Li;Hu Yang;Hua Shao

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本文进一步研究了广义Cholesky分解的扰动分析。文[W.- G.王建- X.赵，广义Cholesky分解的扰动分析，应用数学计算。147（2004）601-606]通过使用替代方法来弱化。此外，还得到了一些新的扰动界。
In this note, we consider the perturbation analysis for the generalized Cholesky factorization further. The conditions for the main theorems of the paper [W.-G. Wang, J.-X. Zhao, Perturbation analysis for the generalized Cholesky factorization, Appl. Math. Comput. 147 (2004) 601–606] are weakened by using an alternative method. Moreover, some new perturbation bounds are also derived.