Non differentiable symmetric duality

Author:

Mond Bertram,Schechter Murray

Abstract

In this paper we construct dual pairs of problems, of both the Wolfe and Mond-Weir types, in which the objective contains a a support function and is therefore not differentiable. A special case which appears repeatedly in the literature is that in which the support function is the square root of a positive semidefinite quadratic form. This and other special cases can be readily generated from our result.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. Symmetric dual nondifferentiable programs

2. Generalized concavity and duality with a square root term;Chandra;Mathematische Operationsforschung und Statistic Series optimization,1975

3. Quasidifferential Calculus

4. More on subgradient duality

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