Trust region methods are a class of numerical methods for optimization. Unlike line search
type methods where a line search is carried out in each iteration, trust region methods …

Iterative methods for optimization can be classified into two categories: line search methods
and trust region methods. In this paper we give a review on trust region algorithms for …

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 …

We introduce some new path-following methods for the solution of the linear
complementarity problem. We call these methods noninterior continuation methods since, in …

This paper studies projected Barzilai-Borwein (PBB) methods for large-scale box-
constrained quadratic programming. Recent work on this method has modified the PBB …

In this paper we present a new algorithm for the solution of nonlinear complementarity
problems. The algorithm is based on a semismooth equation reformulation of the …

This paper presents an unconstrained stress updating algorithm for a critical state plastic
model of clay soil, where the loading/unloading estimations and the consideration of the …

An active set algorithm (ASA) for box constrained optimization is developed. The algorithm
consists of a nonmonotone gradient projection step, an unconstrained optimization step, and …

Dieses Buch bietet eine umfassende und aktuelle Darstellung des Themenbereichs"
Numerische Lösung unrestringierter Optimierungsaufgaben mit differenzierbarer …

The technique of nonmonotone line search has received many successful applications and
extensions in nonlinear optimization. This paper provides some basic analyses of the …