Global optimization: A new variant of the Alienor method

DOI10.1016/S0898-1221(01)85006-9zbMath0980.90069OpenAlexW2089612031MaRDI QIDQ5948692

Gaspar Mora, Abdelkader Ziadi, Yves Cherruault

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)85006-9

zbMATH Keywords

global optimizationAlienor methodreducing transformationspace filling curves

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26)

Related Items (18)

Reducing transformation and global optimization ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 global optimization method for a large number of variables (variant of Alienor method) ⋮ Pharmacokinetic parameters identification using the combined Alienor/Adomian methods ⋮ Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods ⋮ Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods ⋮ Combined Adomian/Alienor methods for solving adaptive control problems in chemotherapy ⋮ Generating $\alpha $-dense curves in non-convex sets to solve a class of non-smooth constrained global optimization ⋮ Continuous global optimization through the generation of parametric curves ⋮ A deterministic method for continuous global optimization using a dense curve ⋮ A new extension of Piyavskii's method to Hölder functions of several variables ⋮ Parameter identification of an HIV model by the combined Adomian/Alienor method ⋮ Novel global optimization algorithm with a space-filling curve and integral function ⋮ Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods

Uses Software

• BRENT

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
• Characterization and generation of \(\alpha\)-dense curves
• Generation of α‐dense curves in a cube of IRⁿ
• A Sequential Method Seeking the Global Maximum of a Function
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• Unnamed Item
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