Holder continuity of the steepest descent direction for multiobjective optimization

Autor:	Svaiter, Benar Fux
Rok vydání:	2018
Předmět:	Mathematics - Optimization and Control 90C29 90C30
Druh dokumentu:	Working Paper
Popis:	The aim of this manuscript is to characterize the continuity properties of the multiobjective steepest descent direction for smooth objective functions. We will show that this direction is Holder continuous with optimal exponent 1/2. In particular, this direction fails to be Lipschitz continuous even for polynomial objectives.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.01402 Zobrazit plný text záznamu View this record from Arxiv