Semismooth Newton Methods for Operator Equations in Function Spaces

JOURNAL ARTICLE published January 2002 in SIAM Journal on Optimization

Authors: Michael Ulbrich

Nonmonotone Trust-Region Methods for Bound-Constrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems

JOURNAL ARTICLE published January 2001 in SIAM Journal on Optimization

Authors: Michael Ulbrich

Minimal Effort Problems and Their Treatment by Semismooth Newton Methods

JOURNAL ARTICLE published January 2011 in SIAM Journal on Control and Optimization

Authors: Kazufumi Ito | Karl Kunisch

A Semismooth Newton Method with Multidimensional Filter Globalization for $l_1$-Optimization

JOURNAL ARTICLE published January 2014 in SIAM Journal on Optimization

Authors: Andre Milzarek | Michael Ulbrich

A Simplified Approach to Semismooth Newton Methods in Function Space

JOURNAL ARTICLE published January 2008 in SIAM Journal on Optimization

Authors: Anton Schiela

A Semismooth Newton-CG Method for Constrained Parameter Identification in Seismic Tomography

JOURNAL ARTICLE published January 2015 in SIAM Journal on Scientific Computing

Authors: Christian Boehm | Michael Ulbrich

A Stochastic Semismooth Newton Method for Nonsmooth Nonconvex Optimization

JOURNAL ARTICLE published January 2019 in SIAM Journal on Optimization

Research funded by National Basic Research Program of China (2015CB856002) | National Natural Science Foundation of China (11871135,11831002,11421101)

Authors: Andre Milzarek | Xiantao Xiao | Shicong Cen | Zaiwen Wen | Michael Ulbrich

A Semismooth Newton Stochastic Proximal Point Algorithm with Variance Reduction

JOURNAL ARTICLE published 31 March 2024 in SIAM Journal on Optimization

Research funded by Fundamental Research Fund–Shenzhen Research Institute of Big Data (JCYJ-AM20190601) | Shenzhen Science and Technology Program (GXWD20201231105722002-20200901175001001)

Authors: Andre Milzarek | Fabian Schaipp | Michael Ulbrich

Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces

JOURNAL ARTICLE published October 2011 in SIAM Journal on Optimization

Authors: Gábor Kassay | Simeon Reich | Shoham Sabach

Prox-Penalization and Splitting Methods for Constrained Variational Problems

JOURNAL ARTICLE published January 2011 in SIAM Journal on Optimization

Authors: Hédy Attouch | Marc-Olivier Czarnecki | Juan Peypouquet

Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization

JOURNAL ARTICLE published January 2011 in SIAM Journal on Optimization

Authors: J. Carsten Ziems | Stefan Ulbrich

A New Unconstrained Differentiable Merit Function for Box Constrained Variational Inequality Problems and a Damped Gauss--Newton Method

JOURNAL ARTICLE published January 1999 in SIAM Journal on Optimization

Authors: Defeng Sun | Robert S. Womersley

Regularity Properties of a Semismooth Reformulation of Variational Inequalities

JOURNAL ARTICLE published August 1998 in SIAM Journal on Optimization

Authors: Francisco Facchinei | Andreas Fischer | Christian Kanzow

Solving Two-Stage Stochastic Variational Inequalities by a Hybrid Projection Semismooth Newton Algorithm

JOURNAL ARTICLE published 31 August 2023 in SIAM Journal on Scientific Computing

Research funded by Hong Kong Polytechnic University (PolyU15300021)

Authors: Xiaozhou Wang | Xiaojun Chen

State Constrained Control Problems Governed by Variational Inequalities

JOURNAL ARTICLE published September 1987 in SIAM Journal on Control and Optimization

Authors: Zheng-Xu He

A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions

JOURNAL ARTICLE published January 2000 in SIAM Journal on Optimization

Authors: Hou-Duo Qi

Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods

JOURNAL ARTICLE published January 2019 in SIAM Journal on Optimization

Research funded by Deutsche Forschungsgemeinschaft (KA 1296/24-1)

Authors: Christian Kanzow | Daniel Steck

Superlinear Convergence of Affine-Scaling Interior-Point Newton Methods for Infinite-Dimensional Nonlinear Problems with Pointwise Bounds

JOURNAL ARTICLE published January 2000 in SIAM Journal on Control and Optimization

Authors: Michael Ulbrich | Stefan Ulbrich

Semismooth Newton and Augmented Lagrangian Methods for a Simplified Friction Problem

JOURNAL ARTICLE published January 2004 in SIAM Journal on Optimization

Authors: Georg Stadler

On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities

JOURNAL ARTICLE published January 1999 in SIAM Journal on Control and Optimization

Authors: Xiaojun Chen | Yinyu Ye