The inverse eigenvalue problem for leslie matrices
The Nonnegative Inverse Eigenvalue Problem (NIEP) is the problem of determining necessary and sufficient conditions for a list of n complex numbers to be the spectrum of an entry-wise nonnegative matrix of dimension n. This is a very difficult and long standing problem and has been solved only for n <= 4. In this paper, the NIEP for a particular class of nonnegative matrices, namely Leslie matrices, is considered.