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The (2, 2, 0) group inverse problem
Authors:P. Patrí  cio,R.E. Hartwig
Affiliation:a Departamento de Matemática e Aplicações, Universidade do Minho, 4710-057 Braga, Portugal
b Mathematics Department, N.C.S.U., Raleigh, NC 27695-8205, USA
Abstract:We characterize the existence of the group inverse of a two by two matrix with zero (2, 2) entry, over a ring by means of the existence of the inverse of a suitable function of the other three entries. Some special cases are derived.
Keywords:Group inverse   Block matrices
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