No abstract

In this paper, at first for a given set of real numbers with only one positive number, and in continue for a given set of real numbers in special conditions, we construct a symmetric nonnegative matrix such that the given set is its spectrum.

No abstract

The main goal of this work is to use the unit lower triangular matrices for solving inverse eigenvalue problem of nonnegative matrices (NIEP) and present the easier method to solve this problem. We solve the problem for any given number of the real and complex eigenvalues. Finally, we present the necessary and sufficient conditions to solve this problem with this method.