- Title
- Extended Lagrange and penalty functions in optimization
- Creator
- Rubinov, Alex; Yang, Xiao; Glover, Barney
- Date
- 2001
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/59780
- Identifier
- vital:770
- Identifier
-
https://doi.org/10.1023/A:1011938519299
- Abstract
- We consider nonlinear Lagrange and penalty functions for optimization problems with a single constraint. The convolution of the objective function and the constraint is accomplished by an increasing positively homogeneous of the first degree function. We study necessary and also sufficient conditions for the validity of the zero duality gap property for both Lagrange and penalty functions and for the exact penalization. We also study the so-called regular weak separation functions.
- Publisher
- Springer
- Relation
- Journal of Optimization Theory and Applications Vol. 111, no. 2 (Nov 2001), p. 381-405
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0802 Computation Theory and Mathematics; Optimisation; Nonlinear Lagrange
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