Disposition of Eigenvalues of Imprimitive Nonnegative Indecomposable Matrices

Abstract

Disposition of eigenvalues of imprimitive nonnegative indecomposable matrices of n ´ n dimension is considered. As for the outer circle, k (2 ≤ k ≤ n) eigenvalues with the maximum module are always located there, and not obligatory k pieces of them are on the remaining circles.