Numerical analysis of generalised max-plus eigenvalue problems.

DOI10.1016/j.cam.2003.08.054zbMath1047.65040OpenAlexW2142500110MaRDI QIDQ1427218

Nicolas Bacaër

Publication date: 14 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.054

zbMATH Keywords

linear programmingerror boundaverage costcompact metric spacedeterministic discrete-time infinite horizon optimisation problemmax-plus eigenvalue problem

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Programming in abstract spaces (90C48)

Cites Work

• An additive eigenvalue problem of physics related to linear programming
• Minimax algebra
• Geodesic rays, Busemann functions and monotone twist maps
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Convergence of numerical methods and parameter dependence of min-plus eigenvalue problems, Frenkel-Kontorova models and homogenization of Hamilton-Jacobi equations
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• Error bounds for rolling horizon policies in discrete-time Markov control processes
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