Generation of α‐dense curves in a cube of IRn

DOI10.1108/EUM0000000004524zbMath0933.65067MaRDI QIDQ4269905

Yves Cherruault, Abdelkader Ziadi

Publication date: 30 March 2000

Published in: Kybernetes (Search for Journal in Brave)

zbMATH Keywords

global optimizationcurve generation\(\alpha\)-dense curvesbio-cybernetics

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (15)

Approximation of the solution for a class of first order p.d.e. by Adomian method ⋮ Optimization and optimal control for life sciences ⋮ A new method for calculating multiple integrals ⋮ Reducing transformation and global optimization ⋮ Global optimization via α‐dense curves ⋮ Global optimization: the Alienor mixed method with Piyavskii‐Shubert technique ⋮ The Alienor method coupled to the Brent algorithm ⋮ A new reducing transformation for global optimization (with Alienor method) ⋮ 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 ⋮ Optimisation of two variables function with linear inequalities constraints – Contraction of the feasible region ⋮ Global optimization: A new variant of the Alienor method ⋮ On the minimal length curve that densifies the square ⋮ Functional equations generating space-densifying curves ⋮ Generation of α‐dense curves and application to global optimization

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
• Global optimization in biology and medicine
• A New Method for Global Optimisation (Alienor)

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