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20162023
most citedOn Fillmore's theorem extended by Borobia

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

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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.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)…