A Nonsmooth Newton Method with Path Search and Its Use in Solving $C^{1,1}$ Programs and Semi-Infinite Problems

Stephan Bütikofer; Diethard Klatte

doi:10.1137/090751025

A Nonsmooth Newton Method with Path Search and Its Use in Solving $C^{1,1}$ Programs and Semi-Infinite Problems

SIAM Journal on Optimization ◽

10.1137/090751025 ◽

2010 ◽

Vol 20 (5) ◽

pp. 2381-2412 ◽

Cited By ~ 4

Author(s):

Stephan Bütikofer ◽

Diethard Klatte

Keyword(s):

Newton Method ◽

Nonsmooth Newton Method ◽

Path Search

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Globalizing a nonsmooth Newton method via nonmonotone path search

Mathematical Methods of Operations Research ◽

10.1007/s00186-008-0219-8 ◽

2008 ◽

Vol 68 (2) ◽

pp. 235-256 ◽

Cited By ~ 1

Author(s):

Stephan Bütikofer

Keyword(s):

Newton Method ◽

Nonsmooth Newton Method ◽

Path Search

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SIMULATION OF WEAR BY USE OF A NONSMOOTH NEWTON METHOD—A SPUR GEAR APPLICATION1-2* †

Mechanics of Structures and Machines ◽

10.1081/sme-100104481 ◽

2001 ◽

Vol 29 (2) ◽

pp. 223-238 ◽

Cited By ~ 11

Author(s):

Olle Lundvall ◽

Anders Klarbring

Keyword(s):

Newton Method ◽

Spur Gear ◽

Nonsmooth Newton Method

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Regularized nonsmooth Newton method for multi-class support vector machines

Optimization Methods and Software ◽

10.1080/10556780600834745 ◽

2007 ◽

Vol 22 (1) ◽

pp. 225-236 ◽

Cited By ~ 27

Author(s):

Ping Zhong ◽

Masao Fukushima

Keyword(s):

Support Vector Machines ◽

Newton Method ◽

Support Vector ◽

Nonsmooth Newton Method ◽

Vector Machines

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Erratum: Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/090755291 ◽

2011 ◽

Vol 21 (2) ◽

pp. 615-616

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Global Convergence ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonsmooth Newton Method ◽

Control State

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A Nonsmooth Newton Method for Linear Model-Predictive Control in Tracking Tasks for a Mobile Robot With Obstacle Avoidance

IEEE Control Systems Letters ◽

10.1109/lcsys.2020.2996959 ◽

2020 ◽

Vol 4 (4) ◽

pp. 886-891

Author(s):

Andreas Britzelmeier ◽

Matthias Gerdts

Keyword(s):

Model Predictive Control ◽

Mobile Robot ◽

Linear Model ◽

Obstacle Avoidance ◽

Newton Method ◽

Predictive Control ◽

Tracking Tasks ◽

Nonsmooth Newton Method

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Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/060657546 ◽

2008 ◽

Vol 19 (1) ◽

pp. 326-350 ◽

Cited By ~ 22

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Global Convergence ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonsmooth Newton Method ◽

Control State

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Substructure exploitation of a nonsmooth Newton method for large-scale optimal control problems with full discretization

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.039 ◽

2021 ◽

Author(s):

Blanca Pablos ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Newton Method ◽

Large Scale ◽

Optimal Control Problems ◽

Control Problems ◽

Full Discretization ◽

Nonsmooth Newton Method

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The computation of common Lyapunov functions via Nonsmooth Newton method

2014 International Conference on Mechatronics and Control (ICMC) ◽

10.1109/icmc.2014.7231789 ◽

2014 ◽

Author(s):

Zheng Chen

Keyword(s):

Newton Method ◽

Lyapunov Functions ◽

Nonsmooth Newton Method ◽

Common Lyapunov Functions

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A nonsmooth Newton method for elastoplastic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00321-8 ◽

2002 ◽

Vol 191 (11-12) ◽

pp. 1189-1219 ◽

Cited By ~ 33

Author(s):

Peter W. Christensen

Keyword(s):

Newton Method ◽

Nonsmooth Newton Method

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A nonsmooth Newton method for the design of state feedback stabilizers under structure constraints

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2020.11.010 ◽

2021 ◽

Vol 358 (1) ◽

pp. 800-813

Author(s):

Mohamed Yagoubi ◽

Redouane Chaibi

Keyword(s):

Newton Method ◽

State Feedback ◽

Nonsmooth Newton Method

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