Zur zentrenmethode in der nichtlinearen optimierung
作者:
Christian Grossmann,
Rüdiger Reinhardt,
期刊:
Mathematische Operationsforschung und Statistik
(Taylor Available online 1972)
卷期:
Volume 3,
issue 6
页码: 419-430
ISSN:0047-6277
年代: 1972
DOI:10.1080/02331887208801098
出版商: Akademie-Verlag
数据来源: Taylor
摘要:
One possible way of solving a constrained optimization problem consists in its transformation into a sequence of unconstrained problems. In this paper is presented the connection between three of this methods; namely the method of centers (Huard), the SUMT (sequential unconstrained minimization technique) without parameters (Fiacco and Mccormick) and the method of barycenters (Lommatzsch). For the metyhod of centers is presented a simple proof of convergence without convexity assumptions, developed from an idea of Huard Further are given relations between some regularity conditions, which were used for this methods.
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