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Rank-one perturbation bounds for singular values of arbitrary matrices

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Publication:2067875
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DOI10.1186/s13660-019-2089-4zbMath1499.15070OpenAlexW2947704297WikidataQ127870905 ScholiaQ127870905MaRDI QIDQ2067875

Hao Liu, Lei Zhu, Xiao-Fei Peng

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2089-4


zbMATH Keywords

singular valuesrank-one updateeigenvalue gaparbitrary matrix


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)


Related Items

A Schatten-\(q\) low-rank matrix perturbation analysis via perturbation projection error bound



Cites Work

  • Unnamed Item
  • On interval estimates of perturbations of generalized eigenvalues for diagonalizable pairs
  • On the Explicit Expression of Chordal Metric between Generalized Singular Values of Grassmann Matrix Pairs with Applications
  • Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices
  • The Analytic Solutions of a Class of Constrained Matrix Minimization and Maximization Problems with Applications
  • Condition Estimates for Pseudo‐Arclength Continuation
  • Low rank update of singular values
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