A graph-theoretic condition for irreducibility of a set of cone preserving matrices (2013)

First Author: Banaji M

Attributed to:  Stability and order preservation in chemical reaction networks funded by EPSRC

Abstract

Given a closed, convex and pointed cone K in Rn, 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. © 2013 Elsevier Inc. All rights reserved.

Bibliographic Information

Digital Object Identifier: http://dx.doi.org/10.1016/j.laa.2013.01.029

Publication URI: http://dx.doi.org/10.1016/j.laa.2013.01.029

Type: Journal Article/Review

Volume: 438

Parent Publication: Linear Algebra and its Applications

Issue: 11