In (2.14) and (2.15), N+1 should be N.
In (2.17) and (2.18), \tilde{F} should be replaced by \tilde{F}^* (and \tilde{F}^* should be replaced by \tilde{F}).
In Theorem 3.6, "the numerical rank of the matrix A" should be "the numerical rank of any off-diagonal block of the matrix A".