Global optimization: Fractal approach and non-redundant parallelism

DOI10.1023/A:1024652720089zbMath1035.90086OpenAlexW1535218163MaRDI QIDQ1402541

Roman G. Strongin, Yaroslav D. Sergeyev

Publication date: 28 August 2003

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

Full work available at URL: https://doi.org/10.1023/a:1024652720089

zbMATH Keywords

Global optimizationParallel computationsFractal approach

Mathematics Subject Classification ID

Nonlinear programming (90C30) Parallel algorithms in computer science (68W10)

Related Items (13)

Parallel global optimization on GPU ⋮ Global optimization method with dual Lipschitz constant estimates for problems with non-convex constraints ⋮ On \texttt{MATLAB} experience in accelerating \texttt{DIRECT-GLce} algorithm for constrained global optimization through dynamic data structures and parallelization ⋮ Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics ⋮ Global search perspectives for multiobjective optimization ⋮ Linear and quadratic programming approaches for the general graph partitioning problem ⋮ Continuous global optimization through the generation of parametric curves ⋮ Solving a set of global optimization problems by the parallel technique with uniform convergence ⋮ GOSH: derivative-free global optimization using multi-dimensional space-filling curves ⋮ On the search of the shape parameter in radial basis functions using univariate global optimization methods ⋮ Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Hölder constants ⋮ The scalability analysis of a parallel tree search algorithm ⋮ Numerical computations and mathematical modelling with infinite and infinitesimal numbers

Uses Software

• Global Optimization Toolbox For Maple

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