논문KCI 등재
A note on the square possible sign pattern matices
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A sign pattern matrix A is called a square possible if A^2does not contain an ambiguous entry. In this paper, we investigated the structure of square possible sign pattern matrices, and we make an algorithm to determine whether a sign pattern matrix is square possible or not.
Abstract
A sign pattern matrix A is called a square possible if A^2does not contain an ambiguous entry. In this paper, we investigated the structure of square possible sign pattern matrices, and we make an algorithm to determine whether a sign pattern matrix is square possible or not.
참고문헌 (8)
- A. Berman, "Sign patterns that allow eventual positivity", Electronic Journal of Linear Algebra, 19, pp.108~120 (2010)
- E. M. Ellison, "Sign patterns that require eventual positivity or require eventual nonnegativity", Electronic Journal of Linear Algebra, 19, pp.98~107 (2010)
- C. A. Eschenbach, "Idempotence for sign pattern matrices", Linear Algebra Appl, 180, pp.153~165 (1993)
- C. A. Eschenbach, "Self-inverse sign patterns", IMA Vol. Math. Appl, 190, pp.169~179 (1993)
- C. A. Eschenbach, "The graph of the unambiguous entries in the product of two (+,-) sign pattern matrices", Linear Algebra Appl, 260, pp.95~118 (1997)
- H. Minc, "Nonnegative matrices" (1988), Wiley
- J. Stuart, "Irreducible sign k-potent sign pattern matrices", Linear Algebra Appl, 294, pp.85~92 (1999)
- J. Stuart, "Reducible sign k-potent sign pattern matrices", Linear Algebra Appl, 294, pp.197~211 (1999)
관련 논문AI추천
SQUARABLE SIGN PATTERNSI-J Kim, J-W Park장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호NEW APPROACH TO THE SIGN PATTERNS THAT REQUIRE POWER NONNEGATIVITY, OR REQUIRE EVENTUAL NONNEGATIVITY박진우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제1호On signed spaces김시주, 최택영영남수학회 · East Asian Mathematical Journal2011 · 제27권 제1호Potentially eventually positive broom sign patternsBer-Lin Yu대한수학회 · 대한수학회보2019 · 제56권 제2호ON NILPOTENCE INDICES OF SIGN PATTERNS김인재, Craig Erickson대한수학회 · 대한수학회논문집2010 · 제25권 제1호Completion for tight sign-central matrices조명숙, 황석근대한수학회 · 대한수학회보2006 · 제43권 제2호
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