Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix
The peripheral spectrum of a matrix \(A\) is defined as the multiset of eigenvalues of \(A\) with a modulus equal to the spectral radius of \(A\). It is well known that the peripheral spectrum of a nonnegative matrix \(A\) is a union of complete sets of roots of unity multiplied by the spectral radius of \(A\). In the present paper, the authors give necessary and sufficient conditions for a set of Jordan blocks to correspond to the peripheral spectrum of a nonnegative matrix. This problem is also exhibited from an algorithmic point of view by providing an implementation in MATLAB.
scientific article; zbMATH DE number 5349146