On nonnegative matrices and generalized m matrices

Abstract

This dissertation deals mainly with analyzing and characterizing certain classes of matrices non negative matrices and generalizations of M matrices More speci cally this involves a detailed study of the structure of the generalized eigenspace of non negative matrices and the generalized nullspace of generalized M matrices We rst use preferred and quasi preferred bases of generalized eigenspaces associated with the spectral radius of non negative matrices to analyze the existence and uniquen