arXiv subjects

Cristina B. Manzaneda

Publications and source records attributed to Cristina B. Manzaneda.

2 recordsLinked to original sources

arXiv2017

Realizable Lists on a Class of Nonnegative Matrices

A square matrix of order n with $n\geq 2$ is called permutative matrix when all its rows (up to the frst one) are permutations of precisely its frst row. In this paper recalling spectral results for partitioned into $2$-by-$2$ symmetric blocks matrices sufcient conditions on a given complex list to be the list of the eigenvalues of a nonnegative permutative matrix are given. In particular, we study NIEP and PNIEP when some complex elements into the considered lists have no zero imaginary part. Realizability regions for nonnegative permutative matrices are obtained.

math.SP↗

arXiv2017

Realizable lists via the spectra of structured matrices

A square matrix of order $n$ with $n\geq 2$ is called a \textit{permutative matrix} or permutative when all its rows (up to the first one) are permutations of precisely its first row. In this paper, the spectra of a class of permutative matrices are studied. In particular, spectral results for matrices partitioned into $2$-by-$2$ symmetric blocks are presented and, using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative permutative matrix are obtained and the corresponding permutative matrices are constructed. Guo perturbations on given lists are exhibited.

math.SP↗