Comparison between Baumann and admissible simplex forms in interval analysis

DOI10.1007/s10898-006-9045-9zbMath1180.65056OpenAlexW2065013830MaRDI QIDQ995937

Jean-Louis Lagouanelle, Frédéric Messine, Pierre Hansen

Publication date: 10 September 2007

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-006-9045-9

zbMATH Keywords

Global optimizationLower boundInterval arithmeticAdmissible simplex formBaumann form

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) General methods in interval analysis (65G40)

Related Items

On interval branch-and-bound for additively separable functions with common variables, (Global) optimization: historical notes and recent developments, An extension of the \(\alpha\mathrm{BB}\)-type underestimation to linear parametric Hessian matrices

Uses Software

• INTOPT_90

Cites Work

• Optimal centered forms
• Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
• Automatic differentiation: techniques and applications
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• Cord-slope form of Taylor's expansion in univariate global optimization
• Rigorous global search: continuous problems
• Improving interval analysis bounds by translations
• A new inclusion function for optimization: kite -- the one-dimensional case
• Interval Methods for Systems of Equations
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