MAXIMAL COLUMN RANKS AND THEIR PRESERVERS OF MATRICES OVER MAX ALGEBRA Song, Seok-Zun; Kang, Kyung-Tae;
The maximal column rank of an m by n matrix A over max algebra is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over max algebra. We also characterize the linear operators which preserve the maximal column rank of matrices over max algebra.
max algebra;rank;maximal column rank;monomial;linear operator;