An Inexact Augmented Lagrangian Method for Second-Order Cone Programming with Applications

Ling Liang; Defeng Sun; Kim-Chuan Toh

doi:10.1137/20m1374262

An Inexact Augmented Lagrangian Method for Second-Order Cone Programming with Applications

SIAM Journal on Optimization ◽

10.1137/20m1374262 ◽

2021 ◽

Vol 31 (3) ◽

pp. 1748-1773

Author(s):

Ling Liang ◽

Defeng Sun ◽

Kim-Chuan Toh

Keyword(s):

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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Augmented Lagrangian method for second-order cone programs under second-order sufficiency

Journal of Global Optimization ◽

10.1007/s10898-021-01068-1 ◽

2021 ◽

Author(s):

Nguyen T. V. Hang ◽

Boris S. Mordukhovich ◽

M. Ebrahim Sarabi

Keyword(s):

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Second Order ◽

Second Order Cone

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Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems

Nonlinear Analysis ◽

10.1016/j.na.2006.07.022 ◽

2007 ◽

Vol 67 (5) ◽

pp. 1359-1373 ◽

Cited By ~ 17

Author(s):

Yong-Jin Liu ◽

Li-Wei Zhang

Keyword(s):

Convergence Analysis ◽

Augmented Lagrangian ◽

Optimization Problems ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Second Order ◽

Second Order Cone

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A Robust Adaptive Beamforming Algorithm Using Decomposition and Iterative Second-order Cone Programming

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2012.00146 ◽

2013 ◽

Vol 34 (9) ◽

pp. 2051-2057

Author(s):

Wei Jin ◽

Wei-min Jia ◽

Min-li Yao ◽

Xiang Zou

Keyword(s):

Adaptive Beamforming ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Robust Adaptive Beamforming ◽

Second Order Cone ◽

Robust Adaptive ◽

Beamforming Algorithm

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A rigorous numerical formulation for upper bound analysis of reinforced soils using second order cone programming

Geotextiles and Geomembranes ◽

10.1016/j.geotexmem.2021.05.002 ◽

2021 ◽

Author(s):

Shuai Yuan

Keyword(s):

Upper Bound ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Reinforced Soils ◽

Upper Bound Analysis ◽

Second Order Cone ◽

Numerical Formulation ◽

Bound Analysis

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Learning the optimal kernel for Fisher discriminant analysis via second order cone programming

European Journal of Operational Research ◽

10.1016/j.ejor.2009.09.020 ◽

2010 ◽

Vol 203 (3) ◽

pp. 692-697 ◽

Cited By ~ 12

Author(s):

Reshma Khemchandani ◽

Jayadeva ◽

Suresh Chandra

Keyword(s):

Discriminant Analysis ◽

Second Order ◽

Fisher Discriminant Analysis ◽

Cone Programming ◽

Second Order Cone Programming ◽

Fisher Discriminant ◽

Second Order Cone ◽

Optimal Kernel

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Second-order cone programming approaches to static shakedown analysis in steel plasticity

Optimization Methods and Software ◽

10.1080/1055678042000216003 ◽

2005 ◽

Vol 20 (1) ◽

pp. 25-52 ◽

Cited By ~ 48

Author(s):

C. D. Bisbos ◽

A. Makrodimopoulos ◽

P. M. Pardalos

Keyword(s):

Second Order ◽

Shakedown Analysis ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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Deformable surface stereo tracking-by-detection using Second Order Cone Programming.

2008 19th International Conference on Pattern Recognition ◽

10.1109/icpr.2008.4761199 ◽

2008 ◽

Cited By ~ 2

Author(s):

Shuhan Shen ◽

Yinqiang Zheng ◽

Yuncai Liu

Keyword(s):

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Deformable Surface ◽

Second Order Cone ◽

Tracking By Detection

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A pivoting procedure for a class of second-order cone programming

Optimization Methods and Software ◽

10.1080/10556780500094697 ◽

2006 ◽

Vol 21 (2) ◽

pp. 295-315 ◽

Cited By ~ 9

Author(s):

Masakazu Muramatsu

Keyword(s):

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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Rebuttal to: Comments on ‘Rigid plastic model of incremental sheet deformation using second-order cone programming’ [1]

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2828 ◽

2010 ◽

pp. n/a-n/a

Author(s):

A. Raithatha ◽

S. R. Duncan

Keyword(s):

Second Order ◽

Rigid Plastic ◽

Cone Programming ◽

Second Order Cone Programming ◽

Plastic Model ◽

Second Order Cone ◽

Sheet Deformation

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Naive constant rank-type constraint qualifications for multifold second-order cone programming and semidefinite programming

Optimization Letters ◽

10.1007/s11590-021-01737-w ◽

2021 ◽

Author(s):

R. Andreani ◽

G. Haeser ◽

L. M. Mito ◽

H. Ramírez ◽

D. O. Santos ◽

...

Keyword(s):

Semidefinite Programming ◽

Constraint Qualifications ◽

Second Order ◽

Constant Rank ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone ◽

Type Constraint

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