A simplification of the C-realizability criterion for the Nonnegative Inverse Eigenvalue Problem for integers

Alberto Borobia, Roberto Canogar

A multiset $\Lambda =\{{\lambda }_1,\dots ,{\lambda }_n\}$ of complex numbers is said to be realizable whenever there exists a nonnegative matrix of order $n$ with spectrum $\Lambda$. One of the broadest criteri…