(K, L)-eigenvectors in max-min algebra

Abstract

New approach to the max-min eigenproblem is descibed, in which the maxmin eigenspace is split into several regions according to the order relations between the eigenvalue and the components of x. The resulting theory of (K, L)-eigenvectors, being based on the fundamental results of Gondran and Minoux, allows to describe the whole max-min eigenspace explicitly and in more detail.