Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix

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Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix

更新时间：2026-05-27

- Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix
- Vol. 27, Issue 3, Pages: 19-21(2010)
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- Online First：25 September 2010，
  
  Published：2010
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文伟. 延拓矩阵半正定因子的扰动界[J]. 广东工业大学学报, 2010, 27(3): 19-21.

WEN Wei. Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix[J]. 2010, 27(3): 19-21.
文伟. 延拓矩阵半正定因子的扰动界[J]. 广东工业大学学报, 2010, 27(3): 19-21. DOI：

WEN Wei. Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix[J]. 2010, 27(3): 19-21. DOI：

摘要

母矩阵为A的行延拓矩阵R (A)与其扰动矩阵 (A)的半正定因子分别是与疗，利用奇异值分解的方法，给出了延拓矩阵R (A)在Frobenius范数下半正定因子的扰动界．

Abstract

The positive semi-definite factors of the extended matrix R (A)，whose mother matrix is A，and its perburtation matrix R (A)are H and H respectively．By means of singular value decomposition，the perturbation bounds for positive semi-definite factors of extended matrix R (A)are deduced under Frobenius norm．

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references

邹红星，王殿军，戴琼海，等．延拓矩阵的奇异值分解[J]．电子学报，2001(3)：289-292.

邹红星，王殿军，戴琼海，等．延拓矩阵的奇异值分解[J]．科学通报，2000(7)：1560-1562.

蔺小林，王震，蒋耀林．酉延拓矩阵的奇异值分解及其广义逆[J]．纯粹数学与应用数学，2008，24(1)：49-53.

孙继广．矩阵扰动分析[M]．北京：科学出版社，2001.

Li R-C．Relative perturbation theory：I．Eigenvalue and singular value variations[J]．Natrix Anal Appl，1998(19)：956-982．

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