【Abstract】Thispaperdefinesthenonnegativematrixandspectralradiusandconcludesthe
relativepropertiesofthem.Basedonthedefinitionandtheproperties,thispaperusesthePerron
Theoremandthepermutationcanonicalformofnonnegativematrixtoresearchtherelative
propertiesofrealrandommatrix,thematrixlimitproblemsandthereducibilityofmatrix.Also,
thispapersolvesadifficultproblemaboutprincipaldiagonallydominantmatrixinadvanced
algebrawiththebasicpropertiesofspectralradius.
【Keywords】Nonnegativematrix;Spectralradius
谱半径在非负矩阵中的运用-6833字.pdf