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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1145,
author = {Tamminana Kurmayya and Koratti C. Sivakumar},
title = {Positive splittings of matrices and their nonnegative Moore-Penrose inverses},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {28},
year = {2008},
pages = {227-235},
zbl = {1193.15001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1145}
}
Tamminana Kurmayya; Koratti C. Sivakumar. Positive splittings of matrices and their nonnegative Moore-Penrose inverses. Discussiones Mathematicae - General Algebra and Applications, Tome 28 (2008) pp. 227-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1145/
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