On the accurate identification of active constraints

F Facchinei, A Fischer, C Kanzow - SIAM Journal on Optimization, 1998 - SIAM
We consider nonlinear programs with inequality constraints, and we focus on the problem of
identifying those constraints which will be active at an isolated local solution. The correct …

[LIBRO][B] Numerische Verfahren zur Lösung unrestringierter Optimierungsaufgaben

C Geiger, C Kanzow - 2013 - books.google.com
Dieses Buch bietet eine umfassende und aktuelle Darstellung des Themenbereichs"
Numerische Lösung unrestringierter Optimierungsaufgaben mit differenzierbarer …

On the superlinear local convergence of a filter-SQP method

S Ulbrich - Mathematical Programming, 2004 - Springer
Transition to superlinear local convergence is shown for a modified version of the trust-
region filter-SQP method for nonlinear programming introduced by Fletcher, Leyffer, and …

An active set Newton algorithm for large-scale nonlinear programs with box constraints

F Facchinei, J Júdice, J Soares - SIAM Journal on Optimization, 1998 - SIAM
A new algorithm for large-scale nonlinear programs with box constraints is introduced. The
algorithm is based on an efficient identification technique of the active set at the solution and …

An augmented Lagrangian function with improved exactness properties

G Di Pillo, S Lucidi - SIAM Journal on Optimization, 2002 - SIAM
In this paper we introduce a new exact augmented Lagrangian function for the solution of
general nonlinear programming problems. For this Lagrangian function a complete …

A sequential quadratic programming algorithm with an additional equality constrained phase

JL Morales, J Nocedal, Y Wu - IMA Journal of Numerical …, 2012 - academic.oup.com
A sequential quadratic programming (SQP) method is presented that aims to overcome
some of the drawbacks of contemporary SQP methods. It avoids the difficulties associated …

A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization

HD Qi, L Qi - SIAM Journal on Optimization, 2000 - SIAM
In this paper, we propose a new QP-free method, which ensures the feasibility of all iterates,
for inequality constrained optimization. The method is based on a nonsmooth equation …

A two-stage active-set algorithm for bound-constrained optimization

A Cristofari, M De Santis, S Lucidi, F Rinaldi - Journal of Optimization …, 2017 - Springer
In this paper, we describe a two-stage method for solving optimization problems with bound
constraints. It combines the active-set estimate described in Facchinei and Lucidi (J Optim …

A truncated Newton algorithm for large scale box constrained optimization

F Facchinei, S Lucidi, L Palagi - SIAM Journal on Optimization, 2002 - SIAM
A method for the solution of minimization problems with simple bounds is presented. Global
convergence of a general scheme requiring the approximate solution of a single linear …

A sequential quadratic optimization algorithm with rapid infeasibility detection

JV Burke, FE Curtis, H Wang - SIAM Journal on Optimization, 2014 - SIAM
We present a sequential quadratic optimization (SQO) algorithm for nonlinear constrained
optimization. The method attains all of the strong global and fast local convergence …