Search Results - nonlinear constrained programming augmented Lagrangian

Some Properties of the Augmented Lagrangian in Cone Constrained Optimization

Authors: Shapiro, Alexander Sun, Jie

Source: Mathematics of Operations Research, 2004 Aug 01. 29(3), 479-491.

Access URL: https://www.jstor.org/stable/30035662

Convergence to Second-Order Stationary Points of a Primal-Dual Algorithm Model for Nonlinear Programming

Authors: Di Pillo, Gianni Lucidi, Stefano Palagi, Laura

Source: Mathematics of Operations Research, 2005 Nov 01. 30(4), 897-915.

Access URL: https://www.jstor.org/stable/25151693

A Unified Augmented Lagrangian Approach to Duality and Exact Penalization

Authors: Huang, X. X. Yang, X. Q.

Source: Mathematics of Operations Research, 2003 Aug 01. 28(3), 533-552.

Access URL: https://www.jstor.org/stable/4126984

Critical Review of the Percentage of Cumulative Oil Production with Sequential Quadratic Programming Technique for Gas Lifted Wells.

Authors: Ihua-Maduenyi, Isaac Eze Yelebe, Zekieni Robert Igbani, Sunday

Source: MUST Journal of Research & Development; 2025, Vol. 6 Issue 3, p366-386, 21p

Subject Terms: PETROLEUM engineering, PETROLEUM production, QUADRATIC programming, MATHEMATICAL programming, NET present value, MATHEMATICAL optimization

Nonlinear constrained optimal control problem: a PSO-GA-based discrete augmented Lagrangian approach.

Authors: Rahim, M. Khalid, Haris Khoukhi, Amar

Source: International Journal of Advanced Manufacturing Technology. Sep2012, Vol. 62 Issue 1-4, p183-203. 21p. 1 Color Photograph, 4 Diagrams, 18 Graphs.

Subject Terms: *NONLINEAR programming, *OPTIMAL control theory, *LAGRANGE multiplier, *PARTICLE swarm optimization, *GENETIC algorithms, *SIMULATION methods & models, *PROBLEM solving

Perturbation Method and Regularization of the Lagrange Principle in Nonlinear Constrained Optimization Problems.

Authors: Sumin, M. I.

Source: Computational Mathematics & Mathematical Physics; Dec2024, Vol. 64 Issue 12, p2823-2844, 22p

Subject Terms: MATHEMATICAL forms, CONSTRAINED optimization, COMPUTATIONAL mathematics, LAGRANGE multiplier, SUBGRADIENT methods

Canonical duality for solving general nonconvex constrained problems

Authors: V. Latorre D. Y. Gao

Source: Optimization Letters. 10:1763-1779

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, Global optimization, nonlinear constrained programming augmented Lagrangian

Access URL: https://researchonline.federation.edu.au/vital/access/services/Download/vital:11144/SOURCE1
http://arxiv.org/abs/1310.2014
https://dblp.uni-trier.de/db/journals/ol/ol10.html#LatorreG16
https://link.springer.com/article/10.1007/s11590-015-0860-0
https://hdl.handle.net/11573/668918
https://hdl.handle.net/11695/118068
https://doi.org/10.1007/s11590-015-0860-0

Convergence of Successive Approximation Methods with Parameter Target Sets

Authors: Levy, Adam B.

Source: Mathematics of Operations Research, 2005 Aug 01. 30(3), 765-784.

Access URL: https://www.jstor.org/stable/25151682

A primal-dual algorithm for nonlinear programming exploiting negative curvature directions

Authors: DI PILLO, Gianni Giampaolo Liuzzi LUCIDI, Stefano

Source: Numerical algebra, control and optimization
1 (2011): 509–528. doi:10.3934/naco.2011.1.509
info:cnr-pdr/source/autori:Di Pillo, G. ; Liuzzi, G. ; Lucidi, S./titolo:A primal-dual algorithm for nonlinear programming exploiting negative curvature directions/doi:10.3934%2Fnaco.2011.1.509/rivista:Numerical algebra, control and optimization (Print)/anno:2011/pagina_da:509/pagina_a:528/intervallo_pagine:509–528/volume:1

Subject Terms: exact augmented lagrangian, nonlinear programming algorithms, primal-dual algorithms, second order stationary point, nonlinear constrained programming, 0211 other engineering and technologies, 02 engineering and technology

File Description: application/pdf

Access URL: https://core.ac.uk/display/54411738
https://www.aimsciences.org/article/doi/10.3934/naco.2011.1.509
https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=6576
https://doi.org/10.3934/naco.2011.1.509
https://hdl.handle.net/20.500.14243/28393
https://hdl.handle.net/11573/413585
https://doi.org/10.3934/naco.2011.1.509

Penalty Lagrangian Methods Via a Quasi-Newton Approach

Authors: Han, Shih-Ping

Source: Mathematics of Operations Research, 1979 Aug 01. 4(3), 291-302.

Access URL: https://www.jstor.org/stable/3689582

Iteration Complexity of a Proximal Augmented Lagrangian Method for Solving Nonconvex Composite Optimization Problems with Nonlinear Convex Constraints.

Authors: Kong, Weiwei Melo, Jefferson G. Monteiro, Renato D. C.

Source: Mathematics of Operations Research. May2023, Vol. 48 Issue 2, p1066-1094. 29p.

Subject Terms: *OFFICES, NONLINEAR equations, LAGRANGE multiplier, AIR forces, NONCONVEX programming

Conjugate Gradient Multiplier Method for Nonlinear Programming Problem

Authors: Hayatoshi SAYAMA Kenji KUWAHARA Yoshimasa KAMEYAMA et al.

Source: Transactions of the Society of Instrument and Control Engineers. 1983, 19(3):200

Local convergence of an augmented Lagrangian method for matrix inequality constrained programming.

Authors: Noll, Dominikus¹ (AUTHOR) noll@mip.ups-tlse.fr

Source: Optimization Methods & Software. Oct2007, Vol. 22 Issue 5, p777-802. 26p. 1 Chart.

Subject Terms: *LAGRANGE equations, *MATRIX inequalities, *IMPLICIT functions, *MATHEMATICAL inequalities, *MATRICES (Mathematics)

Primal-Dual Path-Following Methods For Nonlinear Programming

Authors: Su, Fangyao

Subject Terms: Mathematics, Augmented Lagrangian method, Barrier methods, Interior methods, Nonlinear optimization, Path-following methods, Primal-dual methods

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/9wv1z3qw
https://escholarship.org/content/qt9wv1z3qw/qt9wv1z3qw.pdf

Sequential equality-constrained optimization for nonlinear programming.

Authors: Birgin, E. Bueno, L. Martínez, J.

Source: Computational Optimization & Applications. Dec2016, Vol. 65 Issue 3, p699-721. 23p.

Subject Terms: *MATHEMATICAL optimization, *STOCHASTIC convergence, MATHEMATICAL variables, QUADRATIC programming, LAGRANGIAN functions

SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

Authors: Gill, Philip E. Murray, Walter Saunders, Michael A.

Source: SIAM Review, 2005 Mar 01. 47(1), 99-131.

Access URL: https://www.jstor.org/stable/20453604

The Alternating Direction Search Pattern Method for Solving Constrained Nonlinear Optimization Problems

Authors: Aifen Feng Xiaogai Chang Youlin Shang et al.

Source: Mathematics, Vol 11, Iss 8, p 1863 (2023)

Subject Terms: nonlinear programming, nonlinear complementarity function, alternating direction search pattern method, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/11/8/1863; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/bfceb48ecb7e4078982798fe1816248e

Interior Methods for Nonlinear Optimization

Authors: Gill, Philip E. Wright, Margaret H.

Source: SIAM Review, 2002 Dec 01. 44(4), 525-597.

Access URL: https://www.jstor.org/stable/4148314

Properties of Updating Methods for the Multipliers in Augmented Lagrangians

Authors: Glad, Torkel, 1947

Source: Journal of Optimization Theory and Applications. 28(2):135-156

Subject Terms: Nonlinear programming, Constrained optimization, Augmented Lagrangians, Quasi-Newton methods, Rate of convergence, Penalty functions, Lagrange multipliers

File Description: print

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-102121

An Empirical Quantile Estimation Approach for Chance-Constrained Nonlinear Optimization Problems.

Authors: Luo, Fengqiao Larson, Jeffrey

Source: Journal of Optimization Theory & Applications; Oct2024, Vol. 203 Issue 1, p767-809, 43p

Subject Terms: DIFFERENTIABLE functions, NONLINEAR equations, SMOOTHNESS of functions, EMPIRICAL research, LITERATURE