Geodesic
Positive splittings of matrices and their nonnegative Moore-Penrose inverses
Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 2, pp. 227-235

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In this short note we study necessary and sufficient conditions for the nonnegativity of the Moore-Penrose inverse of a real matrix in terms of certain spectral property shared by all positive splittings of the given matrix.
Keywords: Moore-Penrose inverse, positive splitting 
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Kurmayya, Tamminana; Sivakumar, Koratti. Positive splittings of matrices and their nonnegative Moore-Penrose inverses. Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 2, pp. 227-235. http://geodesic.mathdoc.fr/item/DMGAA_2008_28_2_a6/