The characterizations of irreducible matrices with proper supereigenvectors

DOI10.1080/03081087.2014.959517zbMath1315.15010OpenAlexW2139653611MaRDI QIDQ4981984

Hui-li Wang, Xue-ping Wang

Publication date: 23 March 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2014.959517

zbMATH Keywords

eigenvaluedigraphHamiltonian cyclemax-plus algebrasystem of inequalitiesproper supereigenvectorcomplete matrixmax-algebraic eigenproblem

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20) Max-plus and related algebras (15A80)

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Cites Work

• Generators, extremals and bases of max cones
• On visualization scaling, subeigenvectors and Kleene stars in max algebra
• A characterization of the minimum cycle mean in a digraph
• Max-linear Systems: Theory and Algorithms
• Recognizing Weakly Stable Matrices