[책][B] Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces
M Ulbrich - 2011 - SIAM
This book provides a comprehensive treatment of a very successful class of methods for
solving optimization problems with PDE and inequality constraints as well as variational …
solving optimization problems with PDE and inequality constraints as well as variational …
On the global convergence of a filter--SQP algorithm
A mechanism for proving global convergence in SQP--filter methods for nonlinear
programming (NLP) is described. Such methods are characterized by their use of …
programming (NLP) is described. Such methods are characterized by their use of …
Semismooth Newton methods for operator equations in function spaces
M Ulbrich - SIAM Journal on Optimization, 2002 - SIAM
We develop a semismoothness concept for nonsmooth superposition operators in function
spaces. The considered class of operators includes nonlinear complementarity problem …
spaces. The considered class of operators includes nonlinear complementarity problem …
Optimality conditions and a smoothing trust region newton method for nonlipschitz optimization
Regularized minimization problems with nonconvex, nonsmooth, perhaps non-Lipschitz
penalty functions have attracted considerable attention in recent years, owing to their wide …
penalty functions have attracted considerable attention in recent years, owing to their wide …
Nonmonotone trust-region methods for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems
M Ulbrich - SIAM Journal on Optimization, 2001 - SIAM
We develop and analyze a class of trust-region methods for bound-constrained semismooth
systems of equations. The algorithm is based on a simply constrained differentiable …
systems of equations. The algorithm is based on a simply constrained differentiable …
[PDF][PDF] Nonsmooth Newton-like methods for variational inequalities and constrained optimization problems in function spaces
M Ulbrich - Habilitation, Technical University of Munich, Munich, 2002 - researchgate.net
A central theme of applied mathematics is the design of accurate mathematical models for a
variety of technical, financial, medical, and many other applications, and the development of …
variety of technical, financial, medical, and many other applications, and the development of …
Inexact semismooth Newton methods for large-scale complementarity problems
C Kanzow - Optimization Methods and Software, 2004 - Taylor & Francis
The semismooth Newton method is a nonsmooth Newton-type method applied to a suitable
reformulation of the complementarity problem as a nonlinear and nonsmooth system of …
reformulation of the complementarity problem as a nonlinear and nonsmooth system of …
Quadratic convergence analysis of a nonmonotone Levenberg–Marquardt type method for the weighted nonlinear complementarity problem
J Tang, J Zhou - Computational Optimization and Applications, 2021 - Springer
In this paper we consider the weighted nonlinear complementarity problem (denoted by
wNCP) which contains a wide class of optimization problems. We introduce a family of new …
wNCP) which contains a wide class of optimization problems. We introduce a family of new …
Active-set projected trust-region algorithm for box-constrained nonsmooth equations
L Qi, XJ Tong, DH Li - Journal of Optimization Theory and Applications, 2004 - Springer
In this paper, by means of an active-set strategy, we present a trust-region method for
solving box-constrained nonsmooth equations. Nice properties of the proposed method …
solving box-constrained nonsmooth equations. Nice properties of the proposed method …