Article ID Journal Published Year Pages File Type
4603910 Linear Algebra and its Applications 2006 26 Pages PDF
Abstract

Properties of orbits in max–min algebra are described, mainly the properties of periodic orbits. An O(n3) algorithm computing the period of a periodic orbit is presented. As a consequence, an O(n3 log n) algorithm computing the period of arbitrary orbit is obtained, as the pre-periodic part of the orbit has length at most (n − 1)2 + 1.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory