A global Newton method for nonsmooth Lipschitz equations

Bütikofer, Stephan

Publication type:	Conference other
Type of review:	Peer review (abstract)
Title:	A global Newton method for nonsmooth Lipschitz equations
Authors:	Bütikofer, Stephan
et. al:	No
Conference details:	EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006
Issue Date:	30-Aug-2006
Language:	English
Subjects:	Nonsmooth Newton method; Global convergence
Subject (DDC):	510: Mathematics
Abstract:	We give a framework for the globalization of a nonsmooth Newton method 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 a 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 end with illustrating our ideas at some interesting examples.
URI:	https://digitalcollection.zhaw.ch/handle/11475/18269
Fulltext version:	Published version
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. (2006, August 30). A global Newton method for nonsmooth Lipschitz equations. EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006.

Bütikofer, S. (2006) ‘A global Newton method for nonsmooth Lipschitz equations’, in EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006.

S. Bütikofer, “A global Newton method for nonsmooth Lipschitz equations,” in EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006, Aug. 2006.

BÜTIKOFER, Stephan, 2006. A global Newton method for nonsmooth Lipschitz equations. In: EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006. Conference presentation. 30 August 2006

Bütikofer, Stephan. 2006. “A Global Newton Method for Nonsmooth Lipschitz Equations.” Conference presentation. In EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006.

Bütikofer, Stephan. “A Global Newton Method for Nonsmooth Lipschitz Equations.” EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006, 2006.