Nonexpansiveness of a linearized augmented Lagrangian operator for hierarchical convex optimization

Inverse Problems ◽

10.1088/1361-6420/33/4/044003 ◽

2017 ◽

Vol 33 (4) ◽

pp. 044003 ◽

Author(s):

Masao Yamagishi ◽

Isao Yamada

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Lagrangian Operator

Download Full-text

Adaptive inexact fast augmented Lagrangian methods for constrained convex optimization

Optimization Letters ◽

10.1007/s11590-016-1024-6 ◽

2016 ◽

Vol 11 (3) ◽

pp. 609-626 ◽

Author(s):

Andrei Patrascu ◽

Ion Necoara ◽

Quoc Tran-Dinh

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Augmented Lagrangian Methods ◽

Constrained Convex Optimization ◽

Lagrangian Methods

Download Full-text

Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00299-5 ◽

2000 ◽

Vol 41 (5-6) ◽

pp. 591-616 ◽

Author(s):

Kazufumi Ito ◽

Karl Kunisch

Keyword(s):

Convex Optimization ◽

Hilbert Spaces ◽

Augmented Lagrangian ◽

Nonsmooth Convex Optimization ◽

Augmented Lagrangian Methods ◽

Lagrangian Methods

Download Full-text

An inexact proximal augmented Lagrangian framework with arbitrary linearly convergent inner solver for composite convex optimization

Mathematical Programming Computation ◽

10.1007/s12532-021-00205-x ◽

2021 ◽

Author(s):

Fei Li ◽

Zheng Qu

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Lagrangian Framework ◽

Inexact Proximal

Download Full-text

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

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0991-1 ◽

2016 ◽

Vol 171 (1) ◽

pp. 251-261 ◽

Author(s):

Yuan Shen ◽

Hongyong Wang

Keyword(s):

Convex Optimization ◽

Proximal Point Algorithm ◽

Augmented Lagrangian ◽

Equality Constraints ◽

Download Full-text

A sharp augmented Lagrangian-based method in constrained non-convex optimization

Optimization Methods and Software ◽

10.1080/10556788.2018.1496431 ◽

2018 ◽

Vol 34 (3) ◽

pp. 462-488 ◽

Author(s):

A. M. Bagirov ◽

G. Ozturk ◽

R. Kasimbeyli

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian

Download Full-text

On Convergence of an Augmented Lagrangian Decomposition Method for Sparse Convex Optimization

Mathematics of Operations Research ◽

10.1287/moor.20.3.634 ◽

1995 ◽

Vol 20 (3) ◽

pp. 634-656 ◽

Author(s):

Andrzej Ruszczyński

Keyword(s):

Convex Optimization ◽

Decomposition Method ◽

Augmented Lagrangian ◽

Lagrangian Decomposition

Download Full-text

Cluster-based distributed augmented Lagrangian algorithm for a class of constrained convex optimization problems

10.1016/j.automatica.2021.109608 ◽

2021 ◽

Vol 129 ◽

pp. 109608

Author(s):

Hossein Moradian ◽

Solmaz S. Kia

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Optimization Problems ◽

Convex Optimization Problems ◽

Constrained Convex Optimization

Download Full-text

On the rate analysis of inexact augmented Lagrangian schemes for convex optimization problems with misspecified constraints

2016 American Control Conference (ACC) ◽

10.1109/acc.2016.7526119 ◽

2016 ◽

Author(s):

H. Ahmadi ◽

N. S. Aybat ◽

U. V. Shanbhag

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Optimization Problems ◽

Convex Optimization Problems ◽

Download Full-text

4. Augmented Lagrangian Methods for Nonsmooth, Convex Optimization

Lagrange Multiplier Approach to Variational Problems and Applications ◽

10.1137/1.9780898718614.ch4 ◽

2008 ◽

pp. 87-128

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Nonsmooth Convex Optimization ◽

Augmented Lagrangian Methods ◽

Lagrangian Methods

Download Full-text

Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2014.10.743 ◽

2014 ◽

Vol 10 (3) ◽

pp. 743-759 ◽

Author(s):

Yuan Shen ◽

◽

Wenxing Zhang ◽

Bingsheng He ◽

◽

...

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Linear Constraints ◽

Proximal Point ◽

Proximal Point Algorithms

Download Full-text