Are the following mistakes in Matrix Computations, 4th edition, Theorem 2.3.4? (page 74)
- The proof says $A + E = (I + F)A$ where $F = -EA^{-1}$, but it is easy to see that for that definition of $F$ the correct equation is $A + E = (I - F)A$.
- $r$ is defined as $||A^{-1}E||_p$ but the proof later says $||F||_p = r$ where $F = -EA^{-1}$. I am not sure why this is correct since in general $||AB||_p \ne ||BA||_p$.