On the minimal length curve that densifies the square

DOI10.1108/03684929910300277zbMath0945.65066OpenAlexW2079265280MaRDI QIDQ4950512

Gaspar Mora, Yves Cherruault

Publication date: 4 April 2000

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684929910300277

zbMATH Keywords

global optimizationdensification of the squareminimal length curve

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (6)

A new method for calculating multiple integrals ⋮ Solving inequalities by α‐dense curves. Application to global optimization ⋮ A global optimization method for a large number of variables (variant of Alienor method) ⋮ Optimization by space‐densifying curves as a natural generalization of the Alienor method ⋮ α‐dense curves and global optimization ⋮ The existence of α‐dense curves with minimal length in a metric space

Uses Software

• Global Optimization Toolbox For Maple

Cites Work

• Unnamed Item
• 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
• The theoretic calculation time associated to α‐dense curves
• Generation of α‐dense curves in a cube of IRⁿ

This page was built for publication: On the minimal length curve that densifies the square