activity
20162023
most citedOn Fillmore's theorem extended by Borobia

1 citations · 3 across the 7 of their papers we have counts for

collaborators

9 papers

math.SP2023

Smigoc's glue for universal realizability in the left half-plane

Jaime H. Alfaro, Ricardo L. Soto

A list of A list Λ of complex numbers is said to be realizable if it is the spectrum of a nonnegative matrix. Λ is said to be universally realizable (UR) if it is realizable for ea…

math.SP2023★ 1 cited

Indices of diagonalizable and universal realizability of spectra

Charles R. Johnson, Ana I. Julio, Ricardo L. Soto

A list of complex numbers (repeats allowed) is said to be \textit{realizable} if it is the spectrum of an entrywise nonnegative matrix . is \text…

math.SP2020

The role of certain Brauer and Rado results in the nonnegative inverse spectral problems

Ana I. Julio, Ricardo L. Soto

We say that a list of complex numbers is realizable, if it is the spectrum of a nonnegative matrix (the realizing matrix). We say that is unive…

math.SP2019

Hamiltonian Realization of spectra

C. B. Manzaneda, R. L. Soto

A real matrix is said to be a Hamiltonian matrix if , where . Hamiltonian m…

math.RA2019

Centrosymmetric nonnegative realization of spectra

Ana I. Julio, Oscar Rojo, Ricardo L. Soto

A list of complex numbers is said to be realizable if it is the spectrum of an entrywise nonnegative matrix. In this paper we intent to characteri…

math.SP2018

On universal realizability of spectra

Ana I. Julio, Carlos Marijuán, Miriam Pisonero +1

A list of complex numbers is said to be realizable if it is the spectrum of an entrywise nonnegative matrix. The list is said to be universall…

math.SP2018★ 1 cited

On Fillmore's theorem extended by Borobia

Ana I. Julio, Ricardo L. Soto

Fillmore Theorem says that if A is an nxn complex non-scalar matrix and γ_1,...,γ_{n} are complex numbers with γ_1+...+γ_{n}=trA, then there exists a matrix B similar to A with dia…

math.SP2017

Permutative nonnegative matrices with prescribed spectrum

Ricardo L. Soto

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)…

math.CO2016★ 1 cited

On the -spectra of trees

Vladimir Nikiforov, Germain Pastén, Oscar Rojo +1

Let be a graph with adjacency matrix and let be the diagonal matrix of the degrees of . For every real define the matrix $A_α\left(G\r…