A convergent simplicial algorithm with \(\omega \)-subdivision and \(\omega \)-bisection strategies

DOI10.1007/s10898-011-9746-6zbMath1268.90053OpenAlexW2058863922MaRDI QIDQ427360

Paul E. K. Buckland, Takahito Kuno

Publication date: 13 June 2012

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9746-6

zbMATH Keywords

global optimizationbranch-and-boundconvex maximizationsimplicial algorithmsubdivision strategy

Mathematics Subject Classification ID

Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Nonconvex programming, global optimization (90C26)

Related Items (2)

A generalization of \(\omega \)-subdivision ensuring convergence of the simplicial algorithm ⋮ A modified simplicial algorithm for convex maximization based on an extension of \(\omega \)-subdivision

Uses Software

• Octave

Cites Work

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• A simplified convergence proof for the cone partitioning algorithm
• Finiteness of conical algorithms with \(\omega\)-subdivisions
• Introduction to global optimization
• A simplicial branch-and-bound algorithm conscious of special structures in concave minimization problems
• An algorithm for nonconvex programming problems
• An Algorithm for Separable Nonconvex Programming Problems
• Convex analysis and global optimization
• On convergence of the simplicial branch-and-bound algorithm based on \(\omega\)-subdivisions
• Finiteness result for the simplicial branch-and-bound algorithm based on \(\omega\)-subdivisions
• On the convergence of cone splitting algorithms with \(\omega\)-subdivisions

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