LAGRANGE THEORY OF DISCRETE-CONTINUOUS NONLINEAR OPTIMIZATION

Jahn J, Knossalla M (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of Nonlinear and Variational Analysis

Book Volume: 2

Pages Range: 317-342

Journal Issue: 3

DOI: 10.23952/jnva.2.2018.3.07

Abstract

This paper presents a new Lagrange theory of discrete-continuous conic optimization in an infinite dimensional setting. The following questions are answered for discrete-continuous optimization problems: how to define a Lagrange functional, how Karush-Kuhn-Tucker conditions look like, and which duality results can be obtained? This approach is based on new separation theorems for discrete sets, which are also given in this paper. The developed theory is finally applied to problems of discrete-continuous semidefinite and copositive optimization.

Authors with CRIS profile

Johannes Jahn Naturwissenschaftliche Fakultät Martin Knossalla Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Jahn, J., & Knossalla, M. (2018). LAGRANGE THEORY OF DISCRETE-CONTINUOUS NONLINEAR OPTIMIZATION. Journal of Nonlinear and Variational Analysis, 2(3), 317-342. https://dx.doi.org/10.23952/jnva.2.2018.3.07

MLA:

Jahn, Johannes, and Martin Knossalla. "LAGRANGE THEORY OF DISCRETE-CONTINUOUS NONLINEAR OPTIMIZATION." Journal of Nonlinear and Variational Analysis 2.3 (2018): 317-342.

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