Two characterizations of matrices with the Perron–Frobenius property
Two characterizations of matrices with the Perron–Frobenius property
Abstract Two characterizations of general matrices for which the spectral radius is an eigenvalue and the corresponding eigenvector is either positive or nonnegative are presented. One is a full characterization in terms of the sign of the entries of the spectral projector. In another case, different necessary and sufficient conditions …