On the class of matrices with rows that weakly decrease cyclicly from the diagonal

Wouter Kager, Pieter Jacob Storm

We consider $n\times n$ real-valued matrices $A=(a_{ij})$ satisfying $a_{ii}\ge a_{i,i+1}\ge \cdots \ge a_{in}\ge a_{i1}\ge \cdots \ge a_{i,i-1}$ for $i=1,\dots ,n$. Wit…