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 $\Lambda =\{{\lambda }_1,\dots ,{\lambda }_n\}$ of complex numbers is realizable, if it is the spectrum of a nonnegative matrix $A$ (the realizing matrix). We say that $\Lambda$ is unive…