- Title
- General lagrange-type functions in constrained global optimization part II : Exact auxiliary functions
- Creator
- Evtushenko, Yu G.; Rubinov, Alex; Zhadan, V. G.
- Date
- 2001
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/55518
- Identifier
- vital:275
- Identifier
-
https://doi.org/10.1080/10556780108805837
- Identifier
- ISSN:1055-6788
- Abstract
- This paper is a continuation of [13]. For each constrained optimization problem we consider certain unconstrained problems, which are constructed by means of auxiliary (Lagrange-type) functions. We study only exact auxiliary functions, it means that the set of their global minimizers coincides with the solution set of the primal constrained optimization problem. Sufficient conditions for the exactness of an auxiliary function are given. These conditions are obtained without assumption that the Lagrange function has a saddle point. Some examples of exact auxiliary functions are given. © 2001 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint, a member of the Taylor & Francis Group.
- Publisher
- Taylor & Francis Ltd.
- Relation
- Optimization Methods and Software Vol. 16, no. 1-4 (2001), p. 231-256
- Rights
- Copyright Taylor & Francis
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; Auxiliary function; Constrained optimization; Convolution function; Exact auxiliary function; Generalized polar function; Convolution; Estimation; Functions; Global optimisation; Problem solving
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