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A dominance notion for singular matrices with applications to nonnegative generalized inverses
Authors:Debasisha Mishra
Affiliation:Department of Mathematics , Indian Institute of Technology Madras , Chennai 600 036 , India
Abstract:A dominance rule for singular matrices using proper splittings is proposed. This extends the corresponding notion, known for nonsingular matrices. An application to the nonnegativity of the Moore–Penrose inverse is presented.
Keywords:Moore–Penrose inverse  nonnegativity  a dominance rule
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