Hull-volume with applications to convergence analysis

DOI10.1007/s10957-011-9959-3zbMath1256.90041OpenAlexW2014363511MaRDI QIDQ438780

Adam B. Levy

Publication date: 31 July 2012

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-011-9959-3

zbMATH Keywords

convergence analysispolytopeconvex hullsimplexnumerical optimizationhull-volume estimates

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Combinatorial optimization (90C27)

Uses Software

• fminsearch

Cites Work

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• An analytical expression and an algorithm for the volume of a convex polyhedron in \(R^ n\).
• A new view on some characterizations of simplices
• Self-Correcting Geometry in Model-Based Algorithms for Derivative-Free Unconstrained Optimization
• Polytope Volume Computation
• Computing Volumes of Polyhedra
• Finding simplicial subdivisions of polytopes
• Two Algorithms for Determining Volumes of Convex Polyhedra
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Convergence of the Nelder--Mead Simplex Method to a Nonstationary Point
• Lectures on Polytopes
• Convex Analysis

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