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 On the location of eigenvalues of real constant row-sum matrices Bull. Korean Math. Soc. 2018 Vol. 55, No. 6, 1691-1701 https://doi.org/10.4134/BKMS.b170964Published online November 30, 2018 Frank J. Hall, Rachid Marsli Georgia State University, King Fahd University of Petroleum and Minerals Abstract : 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 Downloads: Full-text PDF