On the numerical characterization of the reachability cone for an essentially nonnegative matrix

DOI10.1016/j.laa.2008.10.028zbMath1165.15021OpenAlexW2171138583MaRDI QIDQ999812

Dimitrios Noutsos, Michael J. Tsatsomeros

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.10.028

zbMATH Keywords

algorithmnumerical examplespower methodPerron-Frobeniuslinear differential systemessentially nonnegative matrixexponentially nonnegative matrixreachability cone

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Jordan chains of \(h\)-cyclic matrices ⋮ Matrix roots of imprimitive irreducible nonnegative matrices ⋮ Nonnegative and eventually positive matrices ⋮ Matrix roots of eventually positive matrices

Cites Work

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• A note on positively invariant cones
• A derivative-coderivative inclusion in second-order nonsmooth analysis
• The reachability cones of essentially nonnegative matrices
• Reachability and Holdability of Nonnegative States
• Matrix Analysis
• Boundary results for positively invariant cones and their reachability cones
• Cone reachability for linear differential systems

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