A Note on the Alternating Direction Method of Multipliers

JOURNAL ARTICLE published October 2012 in Journal of Optimization Theory and Applications

Authors: Deren Han | Xiaoming Yuan

Sufficient optimality criteria in nonlinear programming for generalized equality-inequality constraints

JOURNAL ARTICLE published August 1977 in Journal of Optimization Theory and Applications

Authors: C. Singh

Pontryagin's principle for problems with isoperimetric constraints and problems with inequality terminal constraints: Comment

JOURNAL ARTICLE published June 1978 in Journal of Optimization Theory and Applications

Authors: B. A. Forster | N. V. Long

On a characterization of convergence for the Hestenes method of multipliers

JOURNAL ARTICLE published June 1977 in Journal of Optimization Theory and Applications

Authors: D. Sciutti

A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions II: Extended Exactness

JOURNAL ARTICLE published March 2018 in Journal of Optimization Theory and Applications

Authors: M. V. Dolgopolik

Additional necessary conditions for optimal control with state-variable inequality constraints

JOURNAL ARTICLE published October 1982 in Journal of Optimization Theory and Applications

Authors: E. Kreindler

A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions I: Parametric Exactness

JOURNAL ARTICLE published March 2018 in Journal of Optimization Theory and Applications

Authors: M. V. Dolgopolik

Implicit augmented Lagrangian and generalized optimization

JOURNAL ARTICLE published 2024 in Journal of Applied and Numerical Optimization

On the combination of the multiplier method of Hestenes and Powell with Newton’s method

JOURNAL ARTICLE published February 1975 in Journal of Optimization Theory and Applications

Authors: R. D. Rupp

Towards an efficient augmented Lagrangian method for convex quadratic programming

JOURNAL ARTICLE published July 2020 in Computational Optimization and Applications

Research funded by Fundação de Amparo à Pesquisa do Estado de São Paulo (2015/02528-8,2017/18308-2) | Fundação de Amparo à Pesquisa do Estado de São Paulo (2018/24293-0)

Authors: Luís Felipe Bueno | Gabriel Haeser | Luiz-Rafael Santos

An Augmented Lagrangian method for quasi-equilibrium problems

JOURNAL ARTICLE published July 2020 in Computational Optimization and Applications

Research funded by FAPESP (2013/05475-7,2017/18308-2) | Conicyt-Chile (11180320)

Authors: L. F. Bueno | G. Haeser | F. Lara | F. N. Rojas

A Dynamic Alternating Direction of Multipliers for Nonconvex Minimization with Nonlinear Functional Equality Constraints

JOURNAL ARTICLE published June 2022 in Journal of Optimization Theory and Applications

Research funded by ISF (1844-16 and 2619-20) | DFG (800240)

Authors: Eyal Cohen | Nadav Hallak | Marc Teboulle

An augmented Lagrangian method for optimization problems with structured geometric constraints

JOURNAL ARTICLE published May 2023 in Mathematical Programming

Research funded by Deutsche Forschungsgemeinschaft (KA 1296/24-2,KA 1296/24-2,WA 3636/4-2)

Authors: Xiaoxi Jia | Christian Kanzow | Patrick Mehlitz | Gerd Wachsmuth

An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures

JOURNAL ARTICLE published June 2012 in Computational Optimization and Applications

Authors: Min Tao | Xiaoming Yuan

An Adaptive Alternating Direction Method of Multipliers

JOURNAL ARTICLE published December 2022 in Journal of Optimization Theory and Applications

Research funded by Ministerio de Ciencia, Innovación y Universidades (PGC2018-097960- B-C22) | Generalitat Valenciana (AICO/2021/165) | Simons Foundation (854186)

Authors: Sedi Bartz | Rubén Campoy | Hung M. Phan

Convergence Properties of a Second Order Augmented Lagrangian Method for Mathematical Programs with Complementarity Constraints

JOURNAL ARTICLE published January 2018 in SIAM Journal on Optimization

Research funded by Fundação de Amparo à Pesquisa do Estado de São Paulo (2013/07375-0,2013/05475-7) | Conselho Nacional de Desenvolvimento Científico e Tecnológico (303013/2013-3,306986/2016-7,302915/2016-8)

Authors: Roberto Andreani | Leonardo D. Secchin | Paulo J. S. Silva

Lagrangian duality of concave minimization subject to linear constraints and an additional facial reverse convex constraint

JOURNAL ARTICLE published December 1996 in Journal of Optimization Theory and Applications

Authors: J. Fülöp

An Economic Power Dispatch Algorithm with Valve-Point Effect Consideration Based on Augmented Lagrangian Relaxation and Alternating Direction Method of Multipliers

POSTED CONTENT published

Authors: Jianhua CHEN | Yao ZHANG

Implementation of Augmented Lagrangian Methods for Equilibrium Problems

JOURNAL ARTICLE published March 2016 in Journal of Optimization Theory and Applications

Authors: Mostafa Nasri | Luiz Carlos Matioli | Euda Mara Da Silva Ferreira | Adilson da Silveira

Consensus-based Distributed Augmented Lagrangian Method for Nonconvex Optimization with Coupled Constraints

PROCEEDINGS ARTICLE published 25 November 2022 in 2022 China Automation Congress (CAC)

Authors: Yanxu Su