# Permutative nonnegative matrices with prescribed spectrum

## TL;DR

This paper extends previous results on permutative matrices with prescribed spectra to more general cases, providing new insights and answering an open question in the field of linear algebra.

## Contribution

It generalizes existing theorems on permutative matrices and addresses a previously unresolved question about their spectral properties.

## Key findings

- Extended the class of spectra for which permutative matrices can be constructed.
- Provided a negative answer to an open question about spectral realization.
- Enhanced understanding of the structure of permutative matrices with prescribed spectra.

## Abstract

An n x n permutative matrix is a matrix in which every row is a permutation of the first row. In this paper the result given by Paparella in [Electron. J. Linear Algebra 31 (2016) 306-312] is extended to a more general lists of real and complex numbers, and a negative answer to a question posed by him is given.