A graph-theoretic condition for irreducibility of a set of cone preserving matrices

Banaji, Murad ORCID: https://orcid.org/0000-0002-4983-0377 and Burbanks, Andrew (2013) A graph-theoretic condition for irreducibility of a set of cone preserving matrices. Linear Algebra and its Applications, 438 (11) . pp. 4103-4113. ISSN 0024-3795 [Article] (doi:10.1016/j.laa.2013.01.029)

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Abstract

Given a closed, convex and pointed cone K in R^n , we present a result which infers K-irreducibility of sets of K-quasipositive matrices from strong connectedness of certain bipartite digraphs. The matrix-sets are defined via products, and the main result is relevant to applications in biology and chemistry. Several examples are presented.

Item Type: Article
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 20581
Depositing User: Murad Banaji
Date Deposited: 23 Sep 2016 10:12
Last Modified: 10 Jun 2021 05:49
URI: https://eprints.mdx.ac.uk/id/eprint/20581

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