Structure of the eigenspace of a Monge matrix in max-plus algebra

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Structure of the eigenspace of a Monge matrix in max-plus algebra

A complete description of the eigenspace structure for a given n × n Monge matrix in a max-plus algebra is presented. Based on the description, an O(n2) algorithm for computing the eigenspace dimension is formulated, which is faster than the previously known algorithms. © 2007 Elsevier B.V. All rights reserved. MSC: primary 04A72; secondary 05C50;15A33

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2008

ISSN: 0166-218X

DOI: 10.1016/j.dam.2007.07.015