• Title/Summary/Keyword: minimal semipositivity

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A CHARACTERIZATION OF MINIMAL SEMIPOSITIVITY OF SIGN PATTERN MATRICES

  • Park, S.W.;Seol, H.G.;Lee, S.G.
    • Communications of the Korean Mathematical Society
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    • v.13 no.3
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    • pp.465-473
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    • 1998
  • A real m $\times$ n matrix A is semipositive (SP) if there is a vector x $\geq$ 0 such that Ax > 0, inequalities being entrywise. A is minimally semipositive (MSP) if A is semipositive and no column deleted submatrix of A is semipositive. We give a necessary and sufficient condition for the sign pattern matrix with n positive entries to be minimally semipositive.

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