Perron Spectratopes and the Real Nonnegative Inverse Eigenvalue Problem

Charles R. Johnson, Pietro Paparella

Call an $n$-by-$n$ invertible matrix $S$ a \emph{Perron similarity} if there is a real non-scalar diagonal matrix $D$ such that $SD{S}^{-1}$ is entrywise nonnegative. We give two c…