Upper and lower bounds for the iterates of order-preserving homogeneous maps on cones

DOI10.1016/j.laa.2012.09.023zbMath1297.47057arXiv1205.7003OpenAlexW2963877927MaRDI QIDQ389564

Philip Chodrow, Brian Lins, Cole Franks

Publication date: 21 January 2014

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

Full work available at URL: https://arxiv.org/abs/1205.7003

zbMATH Keywords

upper boundslower boundsconesDenjoy-Wolff theoremsorder-preserving homogenous mapsweak upper bounds

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (2)

A unified approach to nonlinear Perron-Frobenius theory ⋮ Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces

Cites Work

• The Hilbert metric and Gromov hyperbolicity.
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• The cycle time vector of D-A-D functions
• The diagonal equivalence of a nonnegative matrix to a stochastic matrix
• Uniqueness of the fixed point of nonexpansive semidifferentiable maps
• TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES
• Nonlinear Perron–Frobenius Theory
• A Denjoy–Wolff theorem for Hilbert metric nonexpansive maps on polyhedral domains
• Iterated nonlinear maps and Hilbert’s projective metric. II
• The dynamics of contractions
• Extension of order-preserving maps on a cone
• The Perron-Frobenius theorem for homogeneous, monotone functions
• Reduction of a Matrix with Positive Elements to a Doubly Stochastic Matrix

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