Construction of Irreducible Matrices of k≥2 Imprimitivity Index with Complex Elements

Abstract

The paper presents the construction of irreducible n´n-matrix A with complex elements of index k (2 ≤ k ≤ n), where the elements are the complex numbers. The spectrum of matrix A contains k of nonzero eigenvalue with maximum modulus r(А) = |l 1| > 0.