On the complexity of detecting positive eigenvectors of nonlinear cone maps

DOI10.2140/involve.2019.12.141zbMath1420.47021arXiv1811.08658OpenAlexW3122413162MaRDI QIDQ1639628

Lewis White, Bas Lemmens

Publication date: 13 June 2018

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08658

zbMATH Keywords

Hilbert's metricillumination problempositive eigenvectorsnonlinear maps on cones

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• Equivalence of communication and projective boundedness properties for monotone and homogeneous functions
• The two-sex multiethnic stable population model
• Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations
• Nonlinear Perron–Frobenius Theory
• Hilbert’s projective metric and iterated nonlinear maps
• Iterated nonlinear maps and Hilbert’s projective metric. II
• The Asymptotic Theory of Stochastic Games
• The Perron-Frobenius theorem for homogeneous, monotone functions
• An operator approach to zero-sum repeated games

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