%0 Journal Article
%T Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I)
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Nazari, Alimohammad
%A Nezami, Atiyeh
%D 2024
%\ 03/01/2024
%V 12
%N 1
%P 117-130
%! Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I)
%K Nonnegative matrices
%K unit lower triangular matrices
%K Inverse eigenvalue problem
%R 10.22124/jmm.2023.21759.2092
%X This paper uses unit lower triangular matrices to solve the nonnegative inverse eigenvalue problem for various sets of real numbers. This problem has remained unsolved for many years for $n \geq 5.$ The inverse of the unit lower triangular matrices can be easily calculated and the matrix similarities are also helpful to be able to solve this important problem to a considerable extent. It is assumed that in the given set of eigenvalues, the number of positive eigenvalues is less than or equal to the number of nonpositive eigenvalues to find a nonnegative matrix such that the given set is its spectrum.
%U https://jmm.guilan.ac.ir/article_7352_3f3b6276cb29703ff071720a7048095a.pdf