An elementary proof of the quadratic envelope characterization of zero-derivative points

An elementary proof of the quadratic envelope characterization of zero-derivative points

This note presents a simple and self-contained proof of Zlobec’s theorem (J Glob Optim 46:155–161, 2010 ) on quadratic envelope characterization of zero-derivative points for smooth functions in several variables with a Lipschitz derivative. Our proof does not require any knowledge about convexifiab...

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Veröffentlicht in:Optimization letters 2018-07, Vol.12 (5), p.1155-1156
1. Verfasser: Jukić, Dragan
Format: Artikel
Sprache:eng
Schlagworte:
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Short Communication
Simulation
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Zusammenfassung:This note presents a simple and self-contained proof of Zlobec’s theorem (J Glob Optim 46:155–161, 2010 ) on quadratic envelope characterization of zero-derivative points for smooth functions in several variables with a Lipschitz derivative. Our proof does not require any knowledge about convexifiable functions.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-017-1174-1