The existence of α‐dense curves with minimal length in a metric space

DOI10.1108/03684920010312803zbMath0978.90091OpenAlexW2065325616MaRDI QIDQ4503190

Gaspar Mora, 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/10.1108/03684920010312803

zbMATH Keywords

global optimizationdense curves

Mathematics Subject Classification ID

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

Related Items (7)

A new method for calculating multiple integrals ⋮ Reducing transformation and global optimization ⋮ Solving inequalities by α‐dense curves. Application to global optimization ⋮ Generating $\alpha $-dense curves in non-convex sets to solve a class of non-smooth constrained global optimization ⋮ A new extension of Piyavskii's method to Hölder functions of several variables ⋮ Approximation of multiple integrals by simple integrals involving periodic functions ⋮ Optimization by space‐densifying curves as a natural generalization of the Alienor method

Cites Work

• 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
• 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
• On the minimal length curve that densifies the square

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