A Proximal Augmented Lagrangian Method for Linearly Constrained Nonconvex Composite Optimization Problems

JOURNAL ARTICLE published 26 April 2023 in Journal of Optimization Theory and Applications

Research funded by ONR (00014-18-1-2077) | AFOSR (FA9550-22-1-0088) | Conselho Nacional de Desenvolvimento Científico e Tecnológico (312559/2019-4)

Authors: Jefferson G. Melo | Renato D. C. Monteiro | Hairong Wang

Parameter Estimation with the Augmented Lagrangian Method for a Parabolic Equation

JOURNAL ARTICLE published February 2005 in Journal of Optimization Theory and Applications

Authors: T. K. Nilssen | X. C. Tai

Analysis of Fully Preconditioned Alternating Direction Method of Multipliers with Relaxation in Hilbert Spaces

JOURNAL ARTICLE published October 2019 in Journal of Optimization Theory and Applications

Research funded by National Natural Science Foundation of China (11701563)

Authors: Hongpeng Sun

Augmented Lagrangian algorithms for linear programming

JOURNAL ARTICLE published December 1992 in Journal of Optimization Theory and Applications

Authors: O. Güler

Solving discretized degenerate optimal control problems with state constraints

JOURNAL ARTICLE published May 2010 in Optimal Control Applications and Methods

Authors: Catarina P. Avelino

Convergence Properties of Modified and Partially-Augmented Lagrangian Methods for Mathematical Programs with Complementarity Constraints

JOURNAL ARTICLE published June 2010 in Journal of Optimization Theory and Applications

Authors: H. Z. Luo | X. L. Sun | Y. F. Xu

Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants

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

Research funded by Российский  Фонд  Фундаментальных  Исследований  (19-51-12003 NNIO_a,20-01-00106) | CNPq (303913/2019-3) | FAPERJ (E-26/202.540/2019)

Authors: A. F. Izmailov | M. V. Solodov

Augmented Lagrangian Homotopy Method for the Regularization of Total Variation Denoising Problems

JOURNAL ARTICLE published 17 July 2007 in Journal of Optimization Theory and Applications

Authors: L. A. Melara | A. J. Kearsley | R. A. Tapia

Convergence of the Augmented Lagrangian Method for Nonlinear Optimization Problems over Second-Order Cones

JOURNAL ARTICLE published December 2008 in Journal of Optimization Theory and Applications

Authors: Y. J. Liu | L. W. Zhang

A robust secant method for optimization problems with inequality constraints

JOURNAL ARTICLE published April 1981 in Journal of Optimization Theory and Applications

Authors: E. Polak | D. Q. Mayne

Convergence Results of an Augmented Lagrangian Method Using the Exponential Penalty Function

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

Authors: Nélida Echebest | María Daniela Sánchez | María Laura Schuverdt

Augmented Lagrangian Duality for Composite Optimization Problems

JOURNAL ARTICLE published June 2015 in Journal of Optimization Theory and Applications

Authors: Chao Kan | Wen Song

Convergence Analysis of the Generalized Alternating Direction Method of Multipliers with Logarithmic–Quadratic Proximal Regularization

JOURNAL ARTICLE published January 2015 in Journal of Optimization Theory and Applications

Authors: Min Li | Xinxin Li | Xiaoming Yuan

Using the KKT matrix in an augmented Lagrangian SQP method for sparse constrained optimization

JOURNAL ARTICLE published April 1995 in Journal of Optimization Theory and Applications

Authors: M. C. Bartholomew-Biggs | M. De F. G. Hernandez

An Augmented Lagrangian Method Exploiting an Active-Set Strategy and Second-Order Information

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

Authors: Andrea Cristofari | Gianni Di Pillo | Giampaolo Liuzzi | Stefano Lucidi

Sufficient conditions for the existence of multipliers and Lagrangian duality in abstract optimization problems

JOURNAL ARTICLE published July 1994 in Journal of Optimization Theory and Applications

Authors: E. V. Tamminen

Augmented Lagrangians which are quadratic in the multiplier

JOURNAL ARTICLE published May 1980 in Journal of Optimization Theory and Applications

Authors: P. T. Boggs | J. W. Tolle

The augmented lagrangian method for equality and inequality constraints in hilbert spaces

JOURNAL ARTICLE published January 1990 in Mathematical Programming

Authors: K. Ito | K. Kunisch

Recursive quadratic programming algorithm that uses an exact augmented Lagrangian function

JOURNAL ARTICLE published November 1990 in Journal of Optimization Theory and Applications

Authors: S. Lucidi

Quadratic multiplier method convergence

JOURNAL ARTICLE published September 1976 in Journal of Optimization Theory and Applications

Authors: R. D. Rupp