Global optimization requires global information

DOI10.1023/A:1022612511618zbMath0907.90250OpenAlexW1525928598MaRDI QIDQ1264973

K. Appert

Publication date: 11 February 1999

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

Full work available at URL: https://doi.org/10.1023/a:1022612511618

zbMATH Keywords

global optimizationconvergencedeterministic algorithmsstochastic algorithms

Mathematics Subject Classification ID

Nonlinear programming (90C30) Combinatorial optimization (90C27)

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Uses Software

• BRENT

Cites Work

• Unnamed Item
• Optimization by Simulated Annealing
• Global optimization and stochastic differential equations
• Multidimensional bisection applied to global optimisation
• Global optimization of univariate Lipschitz functions. II: New algorithms and computational comparison
• On using estimates of Lipschitz constants in global optimization
• Lipschitzian optimization without the Lipschitz constant
• A deterministic algorithm for global optimization
• An algorithm for finding the global maximum of a multimodal, multivariate function
• Diffusions for Global Optimization
• Cooling Schedules for Optimal Annealing
• Minimization by Random Search Techniques
• An algorithm for finding the absolute extremum of a function
• A Sequential Method Seeking the Global Maximum of a Function