Updating the Multipliers Associated with Inequality Constraints in an Augmented Lagrangian Multiplier Method

JOURNAL ARTICLE published November 2003 in Journal of Optimization Theory and Applications

Authors: C. P. Avelino | L. N. Vicente

On the Convergence Properties of a Second-Order Augmented Lagrangian Method for Nonlinear Programming Problems with Inequality Constraints

JOURNAL ARTICLE published October 2020 in Journal of Optimization Theory and Applications

Research funded by National Natural Science Foundation of China (11271117) | China Scholarship Council (201306130018)

Authors: Liang Chen | Anping Liao

A new augmented Lagrangian function for inequality constraints in nonlinear programming problems

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

Authors: G. Di Pillo | L. Grippo

Augmented Lagrangian method for distributed optimal control problems with state constraints

JOURNAL ARTICLE published September 1993 in Journal of Optimization Theory and Applications

Authors: M. Bergounioux

Extended convergence results for the method of multipliers for nonstrictly binding inequality constraints

JOURNAL ARTICLE published November 1993 in Journal of Optimization Theory and Applications

Authors: L. Contesse-Becker

Properties of updating methods for the multipliers in augmented Lagrangians

JOURNAL ARTICLE published June 1979 in Journal of Optimization Theory and Applications

Authors: S. T. Glad

A method of multipliers for mathematical programming problems with equality and inequality constraints

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

Authors: S. B. Schuldt

Partially Augmented Lagrangian Method for Matrix Inequality Constraints

JOURNAL ARTICLE published January 2004 in SIAM Journal on Optimization

Authors: Dominikus Noll | Mounir Torki | Pierre Apkarian

Augmented Lagrangian Method with Alternating Constraints for Nonlinear Optimization Problems

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

Authors: Siti Nor Habibah Binti Hassan | Tomohiro Niimi | Nobuo Yamashita

An Augmented Lagrangian Method for Equality Constrained Optimization with Rapid Infeasibility Detection Capabilities

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

Authors: Paul Armand | Ngoc Nguyen Tran

The role of the multipliers in the multiplier method

JOURNAL ARTICLE published October 1985 in Journal of Optimization Theory and Applications

Authors: M. A. Ibiejugba

On the twice differentiable cubic augmented Lagrangian

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

Authors: K. C. Kiwiel

Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher’s Augmented Lagrangian

JOURNAL ARTICLE published 11 April 2024 in Journal of Optimization Theory and Applications

Authors: Florentin Goyens | Armin Eftekhari | Nicolas Boumal

A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints

JOURNAL ARTICLE published 20 December 2022 in Mathematics of Computation

Authors: Xin-Wei Liu | Yu-Hong Dai | Ya-Kui Huang | Jie Sun

A generalized Lagrangian function and multiplier method

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

Authors: H. Nakayama | H. Sayama | Y. Sawaragi

New Augmented Lagrangian-Based Proximal Point Algorithm for Convex Optimization with Equality Constraints

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

Research funded by National Natural Science Foundation of China (11401295) | Natural Science Foundation of Jiangsu Province (BK20141007) | Social Science Foundation of Jiangsu Province (14EUA001) | Major Program of the National Social Science Foundation of China (12&ZD114) | National Social Science Foundation of China (15BGL58)

Authors: Yuan Shen | Hongyong Wang

A Mixed Logarithmic Barrier-Augmented Lagrangian Method for Nonlinear Optimization

JOURNAL ARTICLE published May 2017 in Journal of Optimization Theory and Applications

Authors: Paul Armand | Riadh Omheni

An Augmented Lagrangian Method for Cardinality-Constrained Optimization Problems

JOURNAL ARTICLE published June 2021 in Journal of Optimization Theory and Applications

Authors: Christian Kanzow | Andreas B. Raharja | Alexandra Schwartz

An augmented Lagrangian method for nonconvex composite optimization problems with nonlinear constraints

JOURNAL ARTICLE published 18 November 2023 in Optimization and Engineering

Authors: Dimitri Papadimitriou | Bằng Công Vũ

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