A derivative-free descent method in set optimization

Based on a vectorization result in set optimization with respect to the set less order relation, this paper shows how to relate two nonempty sets on a computer. This result is developed for generalized convex sets and polyhedral sets in finite dimensional spaces. Using this approach a numerical meth...

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Bibliographic Details
Published in:	Computational optimization and applications Vol. 60; no. 2; pp. 393 - 411
Main Author:	Jahn, Johannes
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.03.2015 Springer Nature B.V
Subjects:	Analysis Computation Computational geometry Computer science Computer simulation Convex and Discrete Geometry Descent Management Science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Numerical analysis Operations Research Operations Research/Decision Theory Optimization Set theory Statistics Studies Vector processing (computers) 90C29 Set less order relation 06A06 Vectorization 90C56 Set optimization
ISSN:	0926-6003, 1573-2894
Online Access:	Get full text
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