Representations of the Moore–Penrose inverse for a class of 2-by-2 block operator valued partial matrices
Chun Yuan Deng, Hong Ke Du · Linear and Multilinear Algebra · 2009
We obtain necessary and sufficient conditions for 2-by-2 block operator valued triangular matrices to be Moore–Penrose (MP) invertible and give new representations of such MP inverses in terms of the individual blocks.