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

Article

Banaji, M. and Burbanks, A. 2013. A graph-theoretic condition for irreducibility of a set of cone preserving matrices. Linear Algebra and its Applications. 438 (11), pp. 4103-4113. https://doi.org/10.1016/j.laa.2013.01.029
TypeArticle
TitleA graph-theoretic condition for irreducibility of a set of cone preserving matrices
AuthorsBanaji, M. and Burbanks, A.
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.

PublisherElsevier
JournalLinear Algebra and its Applications
ISSN0024-3795
Publication dates
Print05 Mar 2013
Publication process dates
Deposited23 Sep 2016
Accepted14 Jan 2013
Output statusPublished
Accepted author manuscript
Digital Object Identifier (DOI)https://doi.org/10.1016/j.laa.2013.01.029
LanguageEnglish
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Accepted author manuscript
1112.1653v2.pdf

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