A note on bounds to the variation of eigenvalues in symmetric matrix perturbation of rank one

DOI10.1080/03081089008818000zbMath0709.15017OpenAlexW2076824500MaRDI QIDQ3491736

Jacques Bénasséni

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03081089008818000

zbMATH Keywords

boundsvariation of eigenvaluessymmetric matrix perturbation

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Inequalities for the eigenvectors associated to extremal eigenvalues in rank one perturbations of symmetric matrices ⋮ Lower bounds for the largest eigenvalue of a symmetric matrix under perturbations of rank one ⋮ Perturbational aspects in correspondence analysis

Cites Work

• The behavior of eigenvalues and singular values under perturbations of restricted rank
• Rank-one modification of the symmetric eigenproblem
• A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
• On the Spectral Decomposition of Hermitian Matrices Modified by Low Rank Perturbations with Applications
• Some Modified Matrix Eigenvalue Problems
• Unnamed Item

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