- Title
- Multipliers and general Lagrangians
- Creator
- Penot, Jean Paul; Rubinov, Alex
- Date
- 2005
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/54045
- Identifier
- vital:705
- Identifier
-
https://doi.org/10.1080/02331930500138536
- Identifier
- ISSN:0233-1934
- Abstract
- We combine a Lagrangian approach inspired by convex and quasiconvex dualities with a penalization approach to mathematical programming. We use the ideas of abstract convexity. We focus our attention on the set of multipliers. We look for an interpretation of multipliers as elements of generalized subdifferentials of the performance function associated with a dualizing parameterization of the given problem. © 2005 Taylor & Francis Group Ltd.; C1
- Publisher
- Taylor & Francis
- Relation
- Optimization Vol. 54, no. 4-5 (2005), p. 443-467
- Rights
- Copyright Taylor & Francis
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0802 Computation Theory and Mathematics; Dualizing parameterization; Lagrangian; Mathematical programming; Multiplier; Penalization; Performance function
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