On the distinguished eigenvalues of a cone-preserving map

DOI10.1016/0024-3795(90)90372-JzbMath0699.15007MaRDI QIDQ912949

Bit-Shun Tam

Publication date: 1990

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

zbMATH Keywords

eigenvalueeigenvectorspectral radiusalgebraic eigenspacedistinguished eigenvaluesCollatz- Wielandt setscone preserving mapsnonnegative basis

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Positively invariant sets for continuous-time systems with the cone-preserving property ⋮ Cross-positive matrices revisited ⋮ Characterizations of the spectral radius of positive operators ⋮ The Perron generalized eigenspace and the spectral cone of a cone-preserving map ⋮ On the Core of a Cone-Preserving Map ⋮ Invariant ellipsoidal cones ⋮ On the Block Structure and Frobenius Normal Form of Powers of Matrices ⋮ On the Collatz-Wielandt sets associated with a cone-preserving map ⋮ Maximal exponents of polyhedral cones (III) ⋮ Spectral properties of rational matrix functions with nonnegative realizations ⋮ On the invariant faces associated with a cone-preserving map ⋮ Linear equations over cones and Collatz-Wielandt numbers

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