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- research-articleJanuary 2019
The Perron--Frobenius Theorem for Multihomogeneous Mappings
SIAM Journal on Matrix Analysis and Applications (SIMAX), Volume 40, Issue 3Pages 1179–1205https://doi.org/10.1137/18M1165037The Perron--Frobenius theory for nonnegative matrices has been generalized to order-preserving homogeneous mappings on a cone and more recently to nonnegative multilinear forms. We unify both approaches by introducing the concept of order-preserving ...
- articleJune 2010
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
SIAM Journal on Numerical Analysis (SINUM), Volume 48, Issue 3Pages 857–881https://doi.org/10.1137/090765894We introduce hybridization and postprocessing techniques for the Raviart-Thomas approximation of second-order elliptic eigenvalue problems. Hybridization reduces the Raviart-Thomas approximation to a condensed eigenproblem. The condensed eigenproblem is ...
- articleFebruary 2003
From max-plus algebra to nonexpansive mappings: a nonlinear theory for discrete event systems
Theoretical Computer Science (TCSC), Volume 293, Issue 1Pages 141–167https://doi.org/10.1016/S0304-3975(02)00235-9Discrete event systems provide a useful abstraction for modelling a wide variety of systems: digital circuits, communication networks, manufacturing plants, etc. Their dynamics--stability, equilibrium states, cyclical behaviour, asymptotic average ...