|Publication type:||Conference other|
|Type of review:||Peer review (abstract)|
|Title:||A global Newton method for nonsmooth Lipschitz equations|
|Conference details:||EURO Summer Institute «Optimization Challenges in Engineering: Methods, Software and Applications», Wittenberg, 18 August - 2 September 2006|
|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.|
|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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