Rank preservers of matrices over max algebra

Authors
Bapat, RB Pati, S Song, SZ
Citation
Rb. Bapat et al., Rank preservers of matrices over max algebra, LINEAR MULT, 48(2), 2000, pp. 149-164
Citations number
5
Categorie Soggetti
Mathematics
Journal title
LINEAR & MULTILINEAR ALGEBRA
ISSN journal
03081087 → ACNP
Volume
48
Issue
2
Year of publication
2000
Pages
149 - 164
Database
ISI
SICI code
0308-1087(2000)48:2<149:RPOMOM>2.0.ZU;2-3
Abstract
The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We consider the semimod ules over max algebra and study the properties of the weak basis and weak d imension of the semimodules. Moreover, we obtain the characterizations of t hose linear operators that preserve rank of matrices over max-algebra.