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Maximal column ranks and their preservers of Matrices Over Max Algebra
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Abstract
The maximal column rank of an m by n matrix A over maxalgebra is the maximal number of the columns of A which arelinearly independent. We compare the maximal column rank with rankof matrices over max algebra. We also characterize the linearoperators which preserve the maximal column rank of matrices overmax algebra.
관련 논문AI추천
Maximal column rank preservers of integer matrices강경태, 송석준대한수학회 · 대한수학회논문집2007 · 제22권 제2호Linear preservers of spanning column rank of matrix sums over semirings송석준대한수학회 · 대한수학회지2008 · 제45권 제2호EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS박권룡, 송석준, L. Hernandez Encinas대한수학회 · 대한수학회지2010 · 제47권 제1호Linear preservers of spanning column rank of matrix products over semirings송석준, 전영배, 천기상대한수학회 · 대한수학회지2008 · 제45권 제4호Factor Rank and Its Preservers of Integer Matrices강경태, Seok- Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Rank-preserver of Matrices over Chain Semiring강경태, Seok-Zun Song경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호
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