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Characterizations of optimality for continuous convex mathematical programs. Part I. Linear constraints

Published online by Cambridge University Press:  17 February 2009

T. R. Jefferson
Affiliation:
School of Mechanical and Industrial Engineering, University of N.S.W., Kensington, N.S.W. 2033
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Abstract

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Recently we have developed a completely symmetric duality theory for mathematical programming problems involving convex functionals. Here we set our theory within the framework of a Lagrangian formalism which is significantly different to the conventional Lagrangian. This allows various new characterizations of optimality.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979