Set-Semidefinite Optimization

Eichfelder G, Jahn J (2008)


Publication Type: Journal article

Publication year: 2008

Journal

Publisher: Heldermann Verlag

Book Volume: 15

Pages Range: 767-801

Journal Issue: 4

Abstract

In this paper set-semidefinite optimization is introduced as a new field of vector optimization in infinite dimensions covering semidefinite and copositive programming. This unified approach is based on a special ordering cone, the so-called K-semidefinite cone for which properties are given in detail. Optimality conditions in the KKT form and duality results including the linear case are presented for K-semidefinite optimization problems. A penalty approach is developed for the treatment of the special constraint arising in K-semidefinite optimization problems. © Heldermann Verlag.

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How to cite

APA:

Eichfelder, G., & Jahn, J. (2008). Set-Semidefinite Optimization. Journal of Convex Analysis, 15(4), 767-801.

MLA:

Eichfelder, Gabriele, and Johannes Jahn. "Set-Semidefinite Optimization." Journal of Convex Analysis 15.4 (2008): 767-801.

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