Lower bounds for the largest eigenvalue of a symmetric matrix under perturbations of rank one

DOI10.1080/03081081003709827zbMath1216.15017OpenAlexW2081796140MaRDI QIDQ3006569

Jacques Bénasséni

Publication date: 20 June 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081081003709827

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

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Cites Work

• A note on improvement on bounds for nonmaximal eigenvalues of symmetric positive matrices
• On lower bounds for the largest eigenvalue of a symmetric matrix
• The behavior of eigenvalues and singular values under perturbations of restricted rank
• Rank-one modification of the symmetric eigenproblem
• Improving bounds for nonmaximal eigenvalues of positive matrices
• A new type of lower bound for the largest eigenvalue of a symmetric matrix
• A note on bounds to the variation of eigenvalues in symmetric matrix perturbation of rank one
• On the Spectral Decomposition of Hermitian Matrices Modified by Low Rank Perturbations with Applications
• On Recent Cheeger-Type Bounds for Nonmaximal Eigenvalues Applied to Positive Matrices
• Some Modified Matrix Eigenvalue Problems