The bounds of the eigenvalues for rank-one modification of Hermitian matrix

DOI10.1002/nla.1867zbMath1324.15036OpenAlexW2145713479MaRDI QIDQ4982959

Guang-Hui Cheng, Jia Si, Jian-Feng Yang, Zhida Song

Publication date: 13 April 2015

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1867

zbMATH Keywords

numerical examplesspectral decompositionrank-one modificationHermitian matrixbounds for eigenvalues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Inequalities for the eigenvectors associated to extremal eigenvalues in rank one perturbations of symmetric matrices

Cites Work

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• The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem
• Rank-one modification of the symmetric eigenproblem
• Eigenvalues of rank-one updated matrices with some applications
• Matrix Algorithms
• A Stable and Efficient Algorithm for the Rank-One Modification of the Symmetric Eigenproblem
• Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices

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