在乘法扰动下延拓矩阵奇异空间的扰动界

广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (1): 58-61.

在乘法扰动下延拓矩阵奇异空间的扰动界

茂名职业技术学院基础部，广东茂名 525000

出版日期:2011-12-25 发布日期:2011-12-25
作者简介:文伟（1962-），男，副教授,主要研究方向为矩阵理论.

Perturbation Bounds for Singular Space of Extended Matrix-under Multiplicative Perturbation

Basic Courses Department,Maoming Vocational and Technical College,Maoming,Guangdong 525000,China

Online:2011-12-25 Published:2011-12-25

摘要/Abstract

摘要： 在矩阵A和A~有相同分块的奇异值分解和乘法扰动下，对于母矩阵为A的行延拓矩阵Rk(A)与其扰动矩阵R~k(A~)，使用奇异值的双分离度获得左右奇异空间的分离，研究了延拓矩阵Rk(A)与其扰动矩阵R~k(A~)的奇异空间在Frobenius范数下的扰动界.

关键词: 奇异空间;Frobenius范数;延拓矩阵;乘法扰动

Abstract: When Matrix A and A~Matrix have the same partition singular decomposition and multiplicative perturbations,the Extended Matrix Rk(A) with mother Matrix A and the Extended Matrix R~k(A~) with mother Matrix A~,the seperation between the left singular space and the right singular space is obtained by using double seperation degree.Furthermore,the perturbation bounds for the singular space of the Extended Matrix Rk(A) and its perturbation matrix R~k(A~) are studied under Frobenius norm.

Key words:
singular space; Frobenius norm; extended matrix; multiplicative perturbation

文伟. 在乘法扰动下延拓矩阵奇异空间的扰动界[J]. 广东工业大学学报, 2011, 28(1): 58-61.

WEN Wei. Perturbation Bounds for Singular Space of Extended Matrix-under Multiplicative Perturbation[J]. Journal of Guangdong University of Technology, 2011, 28(1): 58-61.

参考文献

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