The Perron--Frobenius Theorem for Multihomogeneous Mappings

DOI10.1137/18M1165037MaRDI QIDQ5237905

Gautier, Antoine, Matthias Hein, Francesco Tudisco

Publication date: 25 October 2019

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05034

zbMATH Keywords

Hilbert projective metricPerron-Frobenius theoremnonlinear eigenvalueCollatz-Wielandt principlenonlinear power methodnonlinear singular value

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Positive matrices and their generalizations; cones of matrices (15B48) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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