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

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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 languageEnglish
Pages (from-to)4103-4113
Number of pages11
JournalLinear Algebra and its Applications
Issue number11
Publication statusPublished - 1 Jun 2013


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ID: 201112