Bull. Korean Math. Soc. 2018; 55(6): 1691-1701
Online first article April 9, 2018 Printed November 30, 2018
https://doi.org/10.4134/BKMS.b170964
Copyright © The Korean Mathematical Society.
Frank J. Hall, Rachid Marsli
Georgia State University, King Fahd University of Petroleum and Minerals
New inclusion sets are obtained for the eigenvalues of real matrices for which the all $1$'s vector is an eigenvector, i.e., the constant row-sum real matrices. A number of examples are provided. This paper builds upon the work of the authors in \cite{HM3}. The results of this paper are in terms of Ger\v{s}gorin discs of the second type. An application of the main theorem to bounding the algebraic connectivity of connected simple graphs is obtained.
Keywords: e-matrix, stochastic matrix, eigenvalue, Gersgorin disc, radius
MSC numbers: 15A18, 15A42, 15B51
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