Globalizing a nonsmooth Newton method via path search, invited presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008

Bütikofer, Stephan

Publication type:	Lecture
Title:	Globalizing a nonsmooth Newton method via path search, invited presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008
Authors:	Bütikofer, Stephan
et. al:	No
Issue Date:	9-Apr-2008
Language:	English
Subjects:	Nonsmooth Newton method; Global convergence; Local Lipschitz function
Subject (DDC):	510: Mathematics
Abstract:	We give a framework for the globalization of a nonsmooth Newton method for solving Lipschitz equations introduced by B. Kummer. We start with recalling Kummer's approach to convergence analysis of this method and state his results for local convergence. In a second part we give a globalized version of this method. In our approach we use first a monotone path-search idea to control the descent. After elaborating the single steps, we analyze and discuss the proof of global convergence resp. of local superlinear or quadratic convergence of the algorithm. We sketch also a nonmonotone version of the algorithm. In the last part we discuss and illustrate the details of the general algorithm (e.g the computation of a Newton step and the construction of a path) for our applications and present results from numerical tests for (generalized) semi-infinite optimization and complementarity problems.
URI:	https://digitalcollection.zhaw.ch/handle/11475/18263
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Data Analysis and Process Design (IDP)
Appears in collections:	Publikationen School of Engineering

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Bütikofer, S. (2008). Globalizing a nonsmooth Newton method via path search, invited presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008.

Bütikofer, S. (2008) Globalizing a nonsmooth Newton method via path search, invited presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008.

S. Bütikofer, Globalizing a nonsmooth Newton method via path search, invited presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008. 2008.

BÜTIKOFER, Stephan, 2008. Globalizing a nonsmooth Newton method via path search, invited presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008

Bütikofer, Stephan. 2008. Globalizing a Nonsmooth Newton Method via Path Search, Invited Presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008.

Bütikofer, Stephan. Globalizing a Nonsmooth Newton Method via Path Search, Invited Presentation at University of Graz : SFB Colloquium, Graz, 9 April 2008. 2008.