On Augmented Lagrangian Methods with General Lower-Level Constraints

By Roberto Andreani, Ernesto G. Birgin, Jose Mario Martínez, María Laura Schuverdt. SIAM Journal on Optimization, 2007

480 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/973944f4c72271e0c68c91a6c5072f088a0e9d50

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Joel A. E. Andersson

In Computational Theory and Mathematics

1. Joel A. E. Andersson
2. C. E. Echagüe
3. Roberto Andreani
4. María Laura Schuverdt

In Numerical Analysis

1. Joel A. E. Andersson
2. C. E. Echagüe
3. Roberto Andreani
4. María Laura Schuverdt

Citations in the corpus

• Constant-Rank Condition and Second-Order Constraint Qualification (2010, methodology): “In [25], an augmented Lagrangian method with convergence under a weaker constraint qualification (CPLD) was defined.”
• A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations (2011, unknown): “Following solution of the nonlinear program, the l̂i and p̂i are rounded to the nearest integer.”
• A General-Purpose Software Framework for Dynamic Optimization (Een algemene softwareomgeving voor dynamische optimalisatie) (2013, methodology): “The open-source ALGENCAN solver [29] is a matrix-free augmented Lagrangian type method.”