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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.19 No.1
- 발행연도
- 2016.1
- 수록면
- 17 - 28 (12page)
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초록· 키워드
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A sign pattern matrix A is called a powerful sign pattern matrix if Ak does not contain an ambiguous entry for all positive inte- ger k. In this paper, we classify the irreducible powerful sign patterns, and prove that irreducible sign pattern matrices that require power- nonnegativity or require eventual nonnegativity are powerful sign pat- terns. We also characterized the reducible sign pattern matrices that require eventual nonnegativity.
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참고문헌 (8)
참고문헌 신청
M. Catral / 2010 / Sign patterns that require or allow power-positivity / lectronic Journal of Linear Algebra 19:121~128
E. M. Ellison / 2010 / Sign patterns that require eventual positivity or require eventual nonnegativity / Electronic Journal of Linear Algebra 19:98~107
G. M. Engel / 1973 / Cyclic and diagonal product on a matrix / Linear Algebra Appl 7:301~335
C. A. Eschenbach / 1993 / Self-inverse sign patterns / IMA Vol. Math. Appl. 190:169~179
C. A. Eschenbach / 1997 / The graph of the unambiguous entries in the product of two (+,-) sign pattern matrices / Linear Algebra Appl 260:95~118
E. M. Ellison / 2010 / Sign patterns that require eventual positivity or require eventual nonnegativity / Electronic Journal of Linear Algebra 19:98~107
G. M. Engel / 1973 / Cyclic and diagonal product on a matrix / Linear Algebra Appl 7:301~335
C. A. Eschenbach / 1993 / Self-inverse sign patterns / IMA Vol. Math. Appl. 190:169~179
C. A. Eschenbach / 1997 / The graph of the unambiguous entries in the product of two (+,-) sign pattern matrices / Linear Algebra Appl 260:95~118
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