Perturbation Bounds of Semi-definite Positive Factors of M-P Inverse under Non-Preserving Rank Perturbating

Wu Qiang

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Perturbation Bounds of Semi-definite Positive Factors of M-P Inverse under Non-Preserving Rank Perturbating

更新时间：2026-05-27

- Perturbation Bounds of Semi-definite Positive Factors of M-P Inverse under Non-Preserving Rank Perturbating
- Vol. 26, Issue 1, Pages: 10(2009)
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- Online First：01 January 2009，
  
  Published：2009
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吴强. M-P逆在非保秩扰动下半正定极因子的扰动界[J]. 广东工业大学学报, 2009, 26(1): 10.

Wu Qiang. Perturbation Bounds of Semi-definite Positive Factors of M-P Inverse under Non-Preserving Rank Perturbating[J]. 2009, 26(1): 10.
吴强. M-P逆在非保秩扰动下半正定极因子的扰动界[J]. 广东工业大学学报, 2009, 26(1): 10. DOI：

Wu Qiang. Perturbation Bounds of Semi-definite Positive Factors of M-P Inverse under Non-Preserving Rank Perturbating[J]. 2009, 26(1): 10. DOI：

摘要

设A+和+的广义极分解分别是A+=QH与+=■■

其中H与■为n×m半正定因子

利用奇异值分解的方法、酉不变范数‖·‖和Frobenius范数‖·‖F

研究了Moore-Penrose广义逆矩阵A+在非保秩扰动下半正定极因子的扰动界. 更多还原

Abstract

Suppose the generalized polar decomposition of A+ and + are respectively A+=QH and +=■■

and H and ■ are n×m semi-definite positive factors.By using singular-value decomposition

unitarily invariant norm ‖·‖ and Frobenius norm ‖·‖F

the perturbation bound of semi-definite polar factors of Moore-Penrose generalized inverse matrix A+ under non-preserving rank perturbating is researched. 更多还原

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references

孙继广,陈春晖. 广义极分解[J]. 计算数学. 1989(03)

孙继广著.矩阵扰动分析[M]. 科学出版社, 2001

王松桂,杨振海著.广义逆矩阵及其应用[M]. 北京工业大学出版社, 1996

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