논문KCI 등재
EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS
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초록
We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme cases with respect to maximal column rank inequalities of matrix multiplications over semirings.
Abstract
We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme cases with respect to maximal column rank inequalities of matrix multiplications over semirings.
참고문헌 (6)
- LeRoy B. Beasley, "RANK INEQUALITIES OVER SEMIRINGS", 대한수학회지, 42(2), pp.33~51 (2005), 대한수학회
- L. B. Beasley, "LP-problems for rank inequalities over semirings: factorization rank, Sovrem", Mat. Prilozh., (13), pp.53~70 (2004)
- L. B. Beasley, "Linear operators that preserve pairs of matrices which satisfy extreme rank properties", Linear Algebra Appl., 350, pp.263~272 (2002)
- S.-G. Hwang, "Linear operators that preserve maximal column rank of Boolean matrices", Linear and Multilinear Algebra, 36(4), pp.305~313 (1994)
- S. Pierce, "A survey of linear preserver problems", Linear and Multilinear Algebra, 33(1), pp.1~129 (1992), Gordon and Breach Science Publishers
- S.-Z. Song, "Linear operators that preserve maximal column ranks of nonnegative integer matrices", Proc. Amer. Math. Soc., 126(8), pp.2205~2211 (1998)
관련 논문AI추천
Linear preservers of spanning column rank of matrix products over semirings송석준, 전영배, 천기상대한수학회 · 대한수학회지2008 · 제45권 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 제2호Extreme sets of rank inequalities over Boolean matrices and their preservers강문환, 송석준, 전영배대한수학회 · 대한수학회논문집2013 · 제28권 제1호Sets of Integer Matrix Pairs Derived from Row Rank Inequalities and Their Preservers송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호Rank-preserver of Matrices over Chain Semiring강경태, Seok-Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호
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