The \(\alpha\)-scalar diagonal stability of block matrices

DOI10.1016/j.laa.2005.10.008zbMath1107.15014OpenAlexW2042659496MaRDI QIDQ819783

Magdalena Wanat

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.008

zbMATH Keywords

Hadamard productpositive definite matrix\(P\)-matrix\(\alpha\)-scalar diagonal stability\(P^{\alpha}\)-matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

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On diagonal common quadratic Lyapunov functions for sets of homogeneous cooperative systems ⋮ On common \(\alpha\)-scalar Lyapunov solutions ⋮ An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions ⋮ On a theorem of Redheffer concerning diagonal stability ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ A characterisation of common diagonal stability over cones

Cites Work

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• A characterization of Lyapunov diagonal stability using Hadamard products
• Positive diagonal solutions to the Lyapunov equations
• P^alpha-matrices and Lyapunov scalar stability