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Generalization of some results concerning eigenvalues of a certain class of matrices and some applications
Authors:Bassam Mourad
Affiliation:1. Department of Mathematics, Faculty of Science V , Lebanese University , Nabatieh , Lebanon bmourad@ul.edu.lb
Abstract:In this note, we present a generalization of some results concerning the spectral properties of a certain class of block matrices. As applications, we study some of its implications on nonnegative matrices and doubly stochastic matrices as well as on graph spectra and graph energy.
Keywords:eigenvalues  nonnegative matrices  positive matrices  doubly stochastic matrices  inverse eigenvalue problem  graph spectra  graph energy
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