Geodesic
On Moore-Penrose Inverse of Block Matrices and Full-rank Factorization
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 26 .

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We develop a few methods for computing the Moore-Penrose inverse, based on full-rank factorizations which arise from different block decompositions of rectangular matrices. In this way, the paper is a continuation of the previous works given by Noble [5] and Tewarson [10]. We compare the obtained results with the known block representations of the Moore-Penrose inverse. Moreover, efficient block representations of the weighted Moore-Penrose inverse are introduced using the same principles.
Classification : 15A09 15A24 
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     author = {Gradimir V. Milovanovi\'c and Predrag Stanimirovi\'c},
     title = {On {Moore-Penrose} {Inverse} of {Block} {Matrices} and {Full-rank} {Factorization}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
     volume = {_N_S_62},
     number = {76},
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     zbl = {0949.15010},
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Gradimir V. Milovanović; Predrag Stanimirović. On Moore-Penrose Inverse of Block Matrices and Full-rank Factorization. Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 26 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a2/