Nonnegativity of principal minors of generalized inverses of \(P_ 0\)- matrices (Q2266049)
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| Language | Label | Description | Also known as |
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| English | Nonnegativity of principal minors of generalized inverses of \(P_ 0\)- matrices |
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Nonnegativity of principal minors of generalized inverses of \(P_ 0\)- matrices (English)
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1985
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A square matrix is called a \(P_ 0\)-matrix if all its principal minors are nonnegative. The authors derive a necessary and sufficient condition under which a reflexive generalized inverse (or \(\{\) 1,2\(\}\)-inverse) of a singular \(P_ 0\)-matrix is again a \(P_ 0\)-matrix. For a related paper, see \textit{S. R. Mohan}, \textit{M. Neumann} and \textit{K. G. Ramamurthy} [ibid. 58, 247-259 (1984; Zbl 0544.15009)].
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nonnegative principal minors
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reflexive generalized inverse
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