Article ID Journal Published Year Pages File Type
1709934 Applied Mathematics Letters 2007 4 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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