Column Ranks and Their Preservers of Matrices Over Max Algebra

Authors: Seok-Zun Song; Kyung-Tae Kang

Source: Linear and Multilinear Algebra, Volume 51, Number 3, September 2003 , pp. 311-318(8)

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Abstract:

The column rank of an m by n matrix A over max algebra is the weak dimension of the column space of A. We compare the column rank with rank of matrices over max algebra. We also characterize the linear operators which preserve the column rank of matrices over max algebra.

Keywords: Max algebra; Column rank; Linear operator; Column rank preserver; AMS Subject Classifications: 15A03; 15A04

Document Type: Research article

DOI: http://dx.doi.org/10.1080/0308108031000069173

Affiliations: 1: Department of Mathematics Cheju National University Cheju 690-756 Korea

Publication date: 2003-09-01