본문 바로가기
KERD
논문KCI 등재

RANK INEQUALITIES OVER SEMIRINGS

LeRoy B. Beasley|Alexander E. Guterman
대한수학회 (The Korean Mathematical Society)|2005.03|대한수학회지 (Journal of the KMS)|제42권 제2호|pp. 33-51

1

조회

0

다운로드

10

인용

0

참고문헌

주제분류수학

초록

Abstract

Inequalities on the rank of the sum and the product of two matrices over semirings are surveyed. Preferences are given to the factor rank, row and column ranks, term rank, and zero-term rank of matrices over antinegative semirings.

참고문헌 (7)

  1. "Linear operators that preserve zero-termrank of Boolean matrices", 36(6), pp.1181~1190 (1999)
  2. "Semiring rank versus column rank", 101, pp.33~48 (1988)
  3. "The Boolean rank of zero one matrices Proc. Third Caribbean Conf. on Combinatorics and Computing", pp.169~173
  4. "The Boolean rank of zero one matrices II", pp.120~126
  5. "Spanning column ranks and there preservers ofnonnegative matrices", 254, pp.485~495 (1997)
  6. "A Survey of Matrix Theory and Matrix Inequalities" (1964), M. Marcus and H. Minc Inc. Boston
  7. "Boolean rank of Kronecker products", 336, pp.261~264 (2001)

관련 논문AI추천

Factor Rank Comparisons of Matrices over Two Related Semirings송석준대한수학회 · 대한수학회논문집2006 · 제21권 제2호A Note on Regularity in Matrix SemiringsShamik Ghosh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS박권룡, 송석준, L. Hernandez Encinas대한수학회 · 대한수학회지2010 · 제47권 제1호Rank-preserving operators of nonnegative integer matrices강경태, 송석준, 전영배대한수학회 · 대한수학회논문집2005 · 제20권 제4호EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING송석준, 허성희, 비어슬리대한수학회 · 대한수학회지2014 · 제51권 제1호Linear preservers of spanning column rank of matrix sums over semirings송석준대한수학회 · 대한수학회지2008 · 제45권 제2호

이 간행물의 다른 논문 (11건)

A MEAN CONDITION ON FORCING TERM FORMULTIPLICITY OF PERIODIC SOLUTIONS FORNONLINEAR DISSIPATIVE HYPERBOLIC EQUATIONSWan Se Kimpp. 1-12CLASS FIELDS FROM THE FUNDAMENTALTHOMPSON SERIES OF LEVEL N = o(g)최소영, 구자경pp. 13-32NEW RESULTS ABOUTORTHOGONALITY PRESERVING MAPSPascal Maronipp. 53-64PERIODIC SOLUTIONS IN NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH FUNCTIONAL DELAYYoussef N. Raffoul, Mariette R. Marounpp. 65-78A CLASS OF NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS(SDES) WITH JUMPS DERIVED BY PARTICLE REPRESENTATIONSYoungmee Kwon, Hye-Jeong Kangpp. 79-99
원문 보기