Multipliers and general Lagrangians

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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