I am interested in the set of points $x \in \mathbb{R}^n$ described by $Ax \ge 0$, $Bx \ge c$, and $x > 0$. $A$ and $B$ are $n \times n$ matrices, and $c \in \mathbb{R}^n$. I would like to know under what circumstances this set is connected.
Thanks for any advice.