Rank-one perturbation bounds for singular values of arbitrary matrices

Rank-one perturbation bounds for singular values of arbitrary matrices

Abstract Rank-one perturbation of arbitrary matrices has many practical applications. In this paper, based on the relationship between the singular values and the eigenvalues, we discuss singular value variations and present two-side bounds of the singular values for rank-one perturbation of arbitra...

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Bibliographic Details
Main Authors: Lei Zhu, Xiaofei Peng, Hao Liu
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Arbitrary matrix
Singular values
Eigenvalue gap
Rank-one update
Online Access:http://link.springer.com/article/10.1186/s13660-019-2089-4

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