Inverse eigenvalues problem of nonnegative matrices via unit lower triangular matrices

TL;DR

This paper introduces a new method using unit lower triangular matrices to solve the inverse eigenvalue problem for nonnegative matrices, simplifying the process compared to existing approaches.

Contribution

It presents an easier and more straightforward method for solving the inverse eigenvalue problem of nonnegative matrices using unit lower triangular matrices.

Findings

Method simplifies the inverse eigenvalue problem solution process.

Provides a practical approach for constructing nonnegative matrices with prescribed eigenvalues.

Enhances understanding of matrix structures in eigenvalue problems.

Abstract

The main of this work is to use the unit lower triangular matrices for solving inverse eigenvalue problem of nonnegative matrices and present the easier method to solve this problem.