The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem

DOI10.1016/j.aml.2012.02.036zbMath1255.15025OpenAlexW2080635210MaRDI QIDQ450210

Xiaoxue Luo, Liang Li, Guang-Hui Cheng

Publication date: 13 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.036

zbMATH Keywords

numerical examplesHermitian matricesrank-one modificationeigenvalue bounds

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Inequalities for the eigenvectors associated to extremal eigenvalues in rank one perturbations of symmetric matrices, The bounds of the eigenvalues for rank-one modification of Hermitian matrix

Cites Work

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• Rank-one modification of the symmetric eigenproblem
• Eigenvalues of rank-one updated matrices with some applications
• Nonlinear Rank-One Modification of the Symmetric Eigenvalue Problem
• Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices