On the eigenvalues of specially low-rank perturbed matrices

DOI10.1016/j.amc.2011.05.026zbMath1230.15009OpenAlexW1967110205MaRDI QIDQ555470

Yunkai Zhou

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.026

zbMATH Keywords

eigenvalueperturbationinvariant subspacecanonical formlow-rankSchurgoogle matrixJordan

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Relationship between the characteristic polynomial and the spectrum of a diagonalizable matrix and those of its low-rank update

Cites Work

• The eigenvalue problem of a specially updated matrix
• Characteristic polynomials of some perturbed matrices
• Eigenvalues and Jordan canonical form of a successively rank-one updated complex matrix with applications to Google's PageRank problem
• On the eigenvalues of a specially updated complex matrix
• Google pageranking problem: The model and the analysis
• Eigenvalues of rank-one updated matrices with some applications
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Deeper Inside PageRank
• Jordan Canonical Form of the Google Matrix: A Potential Contribution to the PageRank Computation
• Unnamed Item
• Unnamed Item

This page was built for publication: On the eigenvalues of specially low-rank perturbed matrices