@article {
author = {Nazari, Alimohammad and Nezami, Atiyeh},
title = {Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I)},
journal = {Journal of Mathematical Modeling},
volume = {12},
number = {1},
pages = {117-130},
year = {2024},
publisher = {University of Guilan},
issn = {2345-394X},
eissn = {2382-9869},
doi = {10.22124/jmm.2023.21759.2092},
abstract = {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.},
keywords = {Nonnegative matrices,unit lower triangular matrices,Inverse eigenvalue problem},
url = {https://jmm.guilan.ac.ir/article_7352.html},
eprint = {https://jmm.guilan.ac.ir/article_7352_3f3b6276cb29703ff071720a7048095a.pdf}
}