Approximation of the effective hull of a nonconvex multidimensional set given by a nonlinear mapping

DOI10.1134/S1064562418010192OpenAlexW2792382374WikidataQ130120489 ScholiaQ130120489MaRDI QIDQ1643788

Georgy K. Kamenev, Alexander Lotov

Publication date: 20 June 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418010192

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Related Items (2)

Approximation of Multi-Dimensional Edgeworth-Pareto Hull in Non-linear Multi-Objective Problems ⋮ Launch pad method in multiextremal multiobjective optimization problems

Cites Work

• Approximation of completely bounded sets by the deep holes method.
• Interactive decision maps. Approximation and visualization of Pareto frontier
• Effective hull of a set and its approximation
• Iterative method for constructing coverings of the multidimensional unit sphere
• Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy
• Study of convergence rate and efficiency of two-phase methods for approximating the Edgeworth-Pareto hull
• Numerical methods for finding global extrema (Case of a non-uniform mesh)
• Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier

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