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

Murad Banaji; Andrew Burbanks

doi:10.1016/j.laa.2013.01.029

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

Murad Banaji, Andrew Burbanks

School of Mathematics & Physics

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Abstract

Givena 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.

Original language	English
Pages (from-to)	4103-4113
Number of pages	11
Journal	Linear Algebra and its Applications
Volume	438
Issue number	11
DOIs	https://doi.org/10.1016/j.laa.2013.01.029
Publication status	Published - 1 Jun 2013

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abstract = "Givena 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.",

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AB - Givena 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.

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JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

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

Abstract

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