Generalized Inverse Formulas Using the Schur Complement
Fennell Burns, David H Carlson, Emilie V. Haynsworth, Thomas L. Markham · SIAM Journal on Applied Mathematics · 1974
A formula for various generalized inverses of a partitioned complex matrix is established under certain general conditions. The use of this formula in obtaining the Moore–Penrose inverse of an arbitrary complex matrix is discussed.