A further note on a theorem on the difference of the generalized inverses of two nonnegative definite matrices |
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Authors: | Erkki P Liski Simo Puntan |
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Affiliation: | Department of Mathematical Sciences , University of Tampere , P.O Box 607, Tampere, SF-33101, Finland |
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Abstract: | Andrews and Phillips (1986) gave a simplified proof for the result that established the nonnegative definiteness of the difference of the Moore-Penrose inverses of two nonoegative definite matrices, a result originally due to Milliken and Akdeniz (1977), The purpose of this paper is to offer a simple proof for a generalization of this result, |
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Keywords: | column space eigenvalue matrix partial ordering Lö ner order Moore-Penrose inverse reflexive generalized inverse |
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