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Optimization Methods and Software Volume 31, 2016 - Issue 1
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Original Articles

Adaptive augmented Lagrangian methods: algorithms and practical numerical experience

Frank E. CurtisDepartment of Industrial and Systems Engineering, Lehigh University, Bethlehem, PA, USACorrespondence[email protected]
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,
Nicholas I.M. GouldSTFC-Rutherford Appleton Laboratory, Numerical Analysis Group, R18, Chilton, OX11 0QX, UKView further author information
,
Hao JiangDepartment of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USAView further author information
&
Daniel P. RobinsonDepartment of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USAView further author information
Pages 157-186 | Received 21 Aug 2014, Accepted 08 Jul 2015, Published online: 24 Aug 2015

Citations (10)

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E. G. Birgin & J. M. Martínez. (2020) Complexity and performance of an Augmented Lagrangian algorithm. Optimization Methods and Software 35:5, pages 885-920.
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Articles from other publishers (9)

Julián A. Norato, Hollis A. Smith, Joshua D. Deaton & Raymond M. Kolonay. (2022) A maximum-rectifier-function approach to stress-constrained topology optimization. Structural and Multidisciplinary Optimization 65:10.
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Jéssica A. Delgado, Edméa C. Baptista, Antonio R. Balbo, Edilaine M. Soler, Diego N. Silva, André C.P. Martins & Leonardo Nepomuceno. (2022) A primal–dual penalty-interior-point method for solving the reactive optimal power flow problem with discrete control variables. International Journal of Electrical Power & Energy Systems 138, pages 107917.
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Qihang Lin, Runchao Ma & Yangyang Xu. (2022) Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization. Computational Optimization and Applications 82:1, pages 175-224.
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Davood Hajinezhad & Mingyi Hong. (2019) Perturbed proximal primal–dual algorithm for nonconvex nonsmooth optimization. Mathematical Programming 176:1-2, pages 207-245.
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Chen Ming, Xu Changxin & Chen Hongquan. (2017) Development of Evaluation System of Coastline Resource in Dafeng. Polish Maritime Research 24:s2, pages 181-187.
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Ming Chen & Changxin Xu. (2017) Study on the application of immune evolutionary algorithm. Study on the application of immune evolutionary algorithm.
Ming Chen & Changxin Xu. (2017) Study on optimal utilization model based on the Lagrangian function. Study on optimal utilization model based on the Lagrangian function.
Hao Zhang & Qin Ni. (2017) A New Augmented Lagrangian Method for Equality Constrained Optimization with Simple Unconstrained Subproblem. Discrete Dynamics in Nature and Society 2017, pages 1-9.
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Hassan Mohy-ud-Din & Daniel P. Robinson. (2015) A Solver for Nonconvex Bound-Constrained Quadratic Optimization. SIAM Journal on Optimization 25:4, pages 2385-2407.
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