The Generalized Cholesky Factorization and Perturbation of the Real Symmetric Matrices

The Generalized Cholesky Factorization and Perturbation of the Real Symmetric Matrices
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发表时间:
2008
期刊:
Journal of Zhaoqing University
影响因子:
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通讯作者:
Fang Xi-ming
Fang Xi-ming
中科院分区:
其他
文献类型:
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作者:
Fang Xi-ming

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设N是真实的对称矩阵,当满足条件ρ(N)1时,N存在唯一的广义Cholesky分解J+N=(I+L)J(I+L)T.引入了与该结论相关的一些扰动理论,这些理论简单地改进了最近的结果.
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:ρ(N)1.Some perturbation theories which connected with the conclusion are introduced,which improve the recent results in a brief.