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Orbits of Geometric Descent

Published online by Cambridge University Press:  20 November 2018

A. Daniilidis ,
D. Drusvyatskiy  and
A. S. Lewis
A. Daniilidis
Affiliation:
DIM-CMM, Universidad de Chile, Blanco Encalada 2120, piso 5, Santiago, Chile. e-mail: arisd@dim.uchile.cl
D. Drusvyatskiy
Affiliation:
Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON N2L 3G1 and Department of Mathematics, University of Washington, Seattle, WA 98195, USA. e-mail: ddrusv@uw.edu
A. S. Lewis
Affiliation:
School of Operations Research and Information Engineering, Cornell University, Ithaca, New York, USA. e-mail: adrian.lewis@cornell.edu
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Abstract

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We prove that quasiconvex functions always admit descent trajectories bypassing all nonminimizing critical points.

Keywords

34A6049J99differential inclusionquasiconvex functionself-contracted curvesweeping process
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 1 , 01 March 2015 , pp. 44 - 50
Copyright
Copyright © Canadian Mathematical Society 2015

References

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