대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제13권3호
  • /
  • Pages.465-473
  • /
  • 1998
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A CHARACTERIZATION OF MINIMAL SEMIPOSITIVITY OF SIGN PATTERN MATRICES

  • Park, S.W. (Department of Mathematics Seonam University) ;
  • Seol, H.G. (Department of Mathematics Sungkyunkwan University) ;
  • Lee, S.G. (Department of Mathematics Sungkyunkwan University)
  • 발행 : 1998.07.01
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초록

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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