An algorithm for constrained global optimization of multivariate polynomials using the Bernstein form and John optimality conditions

DOI10.1007/s12597-009-0009-yzbMath1192.90146OpenAlexW2026531193MaRDI QIDQ980524

M. Arounassalame, Paluri S. V. Nataraj

Publication date: 29 June 2010

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12597-009-0009-y

zbMATH Keywords

interval analysispolynomial optimization

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26)

Related Items (2)

Global optimization of mixed-integer nonlinear (polynomial) programming problems: The Bernstein polynomial approach ⋮ An improved Bernstein global optimization algorithm for MINLP problems with application in process industry

Uses Software

• Matlab
• SeDuMi
• INTLAB
• GloptiPoly
• INTOPT_90
• GlobSol

Cites Work

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• Handbook of test problems in local and global optimization
• Rigorous global search: continuous problems
• Bounds for Lagrange multipliers and optimal points
• A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations
• On the selection of subdivision directions in interval branch-and-bound methods for global optimization
• Derivative-free filter simulated annealing method for constrained continuous global optimization
• An improved interval global optimization algorithm using higher-order inclusion function forms
• Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
• GloptiPoly
• Global Optimization and Constraint Satisfaction

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