Bounding the row sum arithmetic mean by Perron roots of row-permuted matrices

Gernot Michael Engel, Sergei Sergeev

$R_{+}^{n\times n}$ denotes the set of $n\times n$ non-negative matrices. For $A\in R_{+}^{n\times n}$ let $\Omega (A)$ be the set of all matrices that can be formed by permuting the element…