Abstract.
 
Matrices having a positive dominant eigenvalue and a corresponding nonnegative eigenvector are studied. 
Such matrices are said to possess the Perron-Frobenius property. The latter property is naturally enjoyed 
by nonnegative matrices and has a wide variety of applications. In this talk, we give several characterizations 
of matrices enjoying the Perron-Frobenius property and we present some of their properties.