Inverse closed ray-nonsingular cones of matrices

DOI10.1016/j.laa.2004.11.025zbMath1066.15021OpenAlexW2002653976MaRDI QIDQ1779262

Chi-Kwong Li, Leiba Rodman

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.025

zbMATH Keywords

ConeRay-nonsingularComplex matrixRay-pattern

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Convex sets and cones of operators (47L07)

Related Items (5)

Forbidden structures for ray nonsingularity among cycle tree matrices without positive cycles ⋮ A forbidden structure of ray nonsingular matrices ⋮ Ray nonsingularity of cycle chain matrices ⋮ Ray nonsingularity of cycle tree matrices ⋮ Convex invertible cones and positive real analytic functions

Cites Work

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• Sign-nonsingular matrices and even cycles in directed graphs
• When the sign pattern of a square matrix determines uniquely the sign pattern of its inverse
• Ray patterns of matrices and nonsingularity
• Convex invertible cones of state space systems.
• Extremal properties of ray-nonsingular matrices
• On digraphs and forbidden configurations of strong sign nonsingular matrices
• From real to complex sign pattern matrices
• Non-existence of 5X5 full ray nonsingular matrices
• Permanents
• Convex invertible cones and the Lyapunov equation

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