When is the Resolvent Like a Rank One Matrix?

Anne Greenbaum, Faranges Kyanfar, Abbas Salemi

For a square matrix $A$, the resolvent of $A$ at a point $z\in \mathbb{C}$ is defined as $(A-zI{)}^{-1}$. We consider the set of points $z\in \mathbb{C}$ where the relative differ…