Solving inequalities by α‐dense curves. Application to global optimization

DOI10.1108/03684920510605803zbMath1130.90044OpenAlexW2016245481MaRDI QIDQ5695204

J. I. Ubeda, Yves Cherruault, Gaspar Mora

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605803

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Cites Work

• An O(N log N) planar travelling salesman heuristic based on spacefilling curves
• Characterization and generation of \(\alpha\)-dense curves
• Convergence with Hilbert's space filling curve
• An approximation method for the optimization of continuous functions ofnvariables by densifying their domains
• The theoretic calculation time associated to α‐dense curves
• Generation of α‐dense curves and application to global optimization
• The existence of α‐dense curves with minimal length in a metric space
• On the minimal length curve that densifies the square
• Space filling curves and mathematical programming
• Alternative Algorithm for Hilbert's Space-Filling Curve

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