Toland-singer formula cannot distinguish a global minimizer from a choice of stationary points

Toland-singer formula cannot distinguish a global minimizer from a choice of stationary points

Necessary and sufficient optimality conditions are developed for specific classes of constrained and unconstrained global optimization problems. In particular conditions are developed applicable to the unconstrained minimization of the difference and quotient of convex functions for specific special...

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Veröffentlicht in:Numerical functional analysis and optimization 1999-01, Vol.20 (1-2), p.99-119
Hauptverfasser: Rubinov, A. M., Glover, B. M.
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of variations and optimal control
convex functions
Exact sciences and technology
excess functions
Global optimization
Mathematical analysis
Mathematics
Sciences and techniques of general use
subdifFeren-tials
support sets
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Beschreibung
Zusammenfassung:Necessary and sufficient optimality conditions are developed for specific classes of constrained and unconstrained global optimization problems. In particular conditions are developed applicable to the unconstrained minimization of the difference and quotient of convex functions for specific special cases. The conditions are developed using the concept of an excess function. Duality results are also presented.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630569908816883