Optimization of the norm of a vector-valued DC function and applications

Authors
Blanquero, R Carrizosa, E
Citation
R. Blanquero et E. Carrizosa, Optimization of the norm of a vector-valued DC function and applications, J OPTIM TH, 107(2), 2000, pp. 245-260
Citations number
21
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
107
Issue
2
Year of publication
2000
Pages
245 - 260
Database
ISI
SICI code
0022-3239(200011)107:2<245:OOTNOA>2.0.ZU;2-T
Abstract
In this paper, we show that a DC representation can be obtained explicitly for the composition of a gauge with a DC mapping, so that the optimization of certain functions involving terms of this kind can be made by using stan dard DC optimization techniques. Applications to facility location theory a nd multiple-criteria decision making are presented.