关于对称不定和广义半正定矩阵的扰动分析

龚毅; 胡琳玲; 陈果良

龚毅, 胡琳玲, 陈果良. 关于对称不定和广义半正定矩阵的扰动分析[J]. 华东理工大学学报（自然科学版）, 2006, (11): 1369-1372.

引用本文:

龚毅, 胡琳玲, 陈果良. 关于对称不定和广义半正定矩阵的扰动分析[J]. 华东理工大学学报（自然科学版）, 2006, (11): 1369-1372.

GONG Yi, HU Lin-ling, CHEN Guo-liang. Perturbation Analysis on Symmetric Indefinite and Generalized Semi-Positive Matrices[J]. Journal of East China University of Science and Technology, 2006, (11): 1369-1372.

Citation:

GONG Yi, HU Lin-ling, CHEN Guo-liang. Perturbation Analysis on Symmetric Indefinite and Generalized Semi-Positive Matrices[J]. Journal of East China University of Science and Technology, 2006, (11): 1369-1372.

关于对称不定和广义半正定矩阵的扰动分析

Perturbation Analysis on Symmetric Indefinite and Generalized Semi-Positive Matrices

摘要

摘要: 讨论了对称不定矩阵G的广义LDLT分解的扰动,对系数矩阵为对称不定的线性方程组也进行扰动分析,并进一步推导了广义半正定矩阵的情况。

Abstract: The perturbation of a generalized LDL~T factorization with symmetric indefinite coefficient matrix G is proposed.Then the perturbation of the equation GX=b is given.The generalized semi-positive definite matrix is also discussed.

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