Semigroups of Nonnegative Matrices
- 516 Downloads
In this chapter we consider a stronger form of reducibility for collections of matrices with nonnegative entries, which we simply call nonnegative matrices. The results will also be applied to questions of ordinary reducibility. A substantial part of the chapter is devoted to extensions to semigroups of the Perron-Frobenius Theorem on the existence of positive eigenvectors for nonnegative matrices and symmetries of their spectra (Corollary 5.2.13 below).
KeywordsSpectral Radius Diagonal Entry Nonnegative Matrix Permutation Matrice Nonnegative Matrice
Unable to display preview. Download preview PDF.