5 papers · 1 filter
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…
Hamiltonian Realization of spectra
C. B. Manzaneda, R. L. Soto
A real matrix is said to be a Hamiltonian matrix if , where . Hamiltonian m…
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…
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…
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)…