Perturbation Bounds for Singular Subspace ofM-P Inverse under Addictive Noise

WU   Qiang

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Perturbation Bounds for Singular Subspace ofM-P Inverse under Addictive Noise

更新时间：2026-05-27

- Perturbation Bounds for Singular Subspace ofM-P Inverse under Addictive Noise
- Vol. 27, Issue 1, Pages: 12-15(2010)
- 作者机构：
- 作者简介：
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- Online First：25 March 2010，
  
  Published：2010
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吴强. M-P逆在加法扰动下奇异空间的扰动界[J]. 广东工业大学学报, 2010, 27(1): 12-15.

WU Qiang. Perturbation Bounds for Singular Subspace ofM-P Inverse under Addictive Noise[J]. 2010, 27(1): 12-15.
吴强. M-P逆在加法扰动下奇异空间的扰动界[J]. 广东工业大学学报, 2010, 27(1): 12-15. DOI：

WU Qiang. Perturbation Bounds for Singular Subspace ofM-P Inverse under Addictive Noise[J]. 2010, 27(1): 12-15. DOI：

摘要

作者简介: 吴.. 强( 1960-)

男

副教授

主要研究方向为矩阵理论. 矩阵的M oore-Penrose 逆在有相同分块的奇异值分解和加法扰动下

对M oore-Penro se逆矩阵奇异值分解伴随的奇异子空间

用奇异值的双分离度获得左右奇异空间的分离和联合的扰动界.

Abstract

Under singu lar va lue decomposition w ith the same b locks and addictive noise

w ith the singu lar decomposition toMoore-Penrose inverse is singular subspace. By b-i separat ing degree

the separating and connecting perturbation bounds o f lef-t right singular subspace are obtained.

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references

W edin P A. Perturbation bounds in connection w ith singu larva lue decompostion[J]. B IT, 1972( 12): 99-111.

Li Ren-C ang. Re la tive pe rturba tion theory. E igenspace and singu lar subspace variations[J]. SIAM M atr ir Ana.l App,l 1998, 20: 471-492.

陈小山. 矩阵特征空间和奇异空间相对扰动界[J]. 华南师范大学学报, 2005( 1): 6-10.

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