Generation of α‐dense curves and application to global optimization

DOI10.1108/03684920010308871zbMath0978.90090OpenAlexW1971581635MaRDI QIDQ4503184

Yves Cherruault, Abdelkader Ziadi

Publication date: 15 January 2002

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920010308871

zbMATH Keywords

global optimizationcyberneticsbiocybernetics\(\alpha\)-dense curves

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

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Cites Work

• Unnamed Item
• Alienor-Gabriel global optimization of a function of several variables
• Approximation of a several variables function by a one variable function and application to global optimization
• Global optimization in biology and medicine
• Characterization and generation of \(\alpha\)-dense curves
• A New Method for Global Optimisation (Alienor)
• On a reducing space‐filling transformation: application to global optimization
• Generation of α‐dense curves in a cube of IRⁿ
• A Sequential Method Seeking the Global Maximum of a Function