Structure and dimension of the eigenspace of a concave Monge matrix
نویسندگان
چکیده
The eigenspace structure for a given n × n concave Monge matrix in a max-plus algebra is described. Based on the description, an O(n) algorithm for computing the eigenspace dimension is formulated, which is faster than the previously known algorithms. Analogous results for convex Monge matrices have been published in [M. Gavalec, J. Plavka, Structure of the eigenspace of a Monge matrix in max-plus algebra, Discrete Appl. Math. 156 (2008) 596–606]. © 2008 Elsevier B.V. All rights reserved.
منابع مشابه
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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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 157 شماره
صفحات -
تاریخ انتشار 2009