On common invariant cones for families of matrices

DOI10.1016/j.laa.2009.10.004zbMath1188.15028arXiv0903.0444OpenAlexW2011979536MaRDI QIDQ846320

Hakan Seyalioglu, Leiba Rodman, Ilya M. Spitkovskij

Publication date: 9 February 2010

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

Full work available at URL: https://arxiv.org/abs/0903.0444

zbMATH Keywords

similarity transformationinvariant conesdiagonalizable matricescommon invariant conesdominant eigenvectorVandergraft matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items (8)

Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ Unnamed Item ⋮ On asymptotic properties of matrix semigroups with an invariant cone ⋮ An antinorm theory for sets of matrices: bounds and approximations to the lower spectral radius ⋮ Invariant multicones for families of matrices ⋮ When do several linear operators share an invariant cone? ⋮ A constructive approach to robust chaos using invariant manifolds and expanding cones ⋮ Rigorous bounds on Lyapunov exponents of linked twist maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Perron generalized eigenspace and the spectral cone of a cone-preserving map
• On matrices with common invariant cones with applications in neural and gene networks
• An Algebraic Approach to the Construction of Polyhedral Invariant Cones
• On the Core of a Cone-Preserving Map
• Computationally Efficient Approximations of the Joint Spectral Radius
• Spectral Properties of Matrices which have Invariant Cones
• Linear Transformations with Invariant Cones
• A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case

This page was built for publication: On common invariant cones for families of matrices