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

Authors :: Andrew Burbanks
Murad Banaji
Source :: Banaji, M & Burbanks, A 2013, ' A graph-theoretic condition for irreducibility of a set of cone preserving matrices ', Linear Algebra and its Applications, vol. 438, no. 11, pp. 4103-4113 . https://doi.org/10.1016/j.laa.2013.01.029
Publication Year :: 2013
Publisher :: Elsevier, 2013.
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.<br />A few corrections and clarifications have been made

Language :: English
ISSN :: 00243795
Database :: OpenAIRE
Journal :: Banaji, M & Burbanks, A 2013, ' A graph-theoretic condition for irreducibility of a set of cone preserving matrices ', Linear Algebra and its Applications, vol. 438, no. 11, pp. 4103-4113 . https://doi.org/10.1016/j.laa.2013.01.029
Accession number :: edsair.doi.dedup.....6b3f963d20da3e8b0bab14c9790a7531
Full Text :: https://doi.org/10.1016/j.laa.2013.01.029

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