Eigenvalues of Rank-One Updated Matrices with Some Applications
Document Type
Article
Publication Date
12-1-2007
Department
Mathematics
Abstract
We prove a spectral perturbation theorem for rank-one updated matrices of special structure. Two applications of the result are given to illustrate the usefulness of the theorem. One is for the spectrum of the Google matrix and the other is for the algebraic simplicity of the maximal eigenvalue of a positive matrix. (c) 2007 Elsevier Ltd. All rights reserved.
Publication Title
Applied Mathematics Letters
Volume
20
Issue
12
First Page
1223
Last Page
1226
Recommended Citation
Ding, J.,
Zhou, A.
(2007). Eigenvalues of Rank-One Updated Matrices with Some Applications. Applied Mathematics Letters, 20(12), 1223-1226.
Available at: https://aquila.usm.edu/fac_pubs/1856