Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization problems. They have similarities to penaltyâ€¦Â (More)

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2015

2015

- Nikolaos Chatzipanagiotis, Darinka Dentcheva, Michael M. Zavlanos
- Math. Program.
- 2015

We propose a novel distributed method for convex optimization problems with a certain separability structure. The method is basedâ€¦Â (More)

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2011

Highly Cited

2011

- Stanley H. Chan, Ramsin Khoshabeh, Kristofor B. Gibson, Philip E. Gill, Truong Q. Nguyen
- IEEE Transactions on Image Processing
- 2011

This paper presents a fast algorithm for restoring video sequences. The proposed algorithm, as opposed to existing methods, doesâ€¦Â (More)

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2011

Highly Cited

2011

- Manya V. Afonso, José M. Bioucas-Dias, MÃ¡rio A. T. Figueiredo
- IEEE Transactions on Image Processing
- 2011

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where aâ€¦Â (More)

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2010

Highly Cited

2010

- Xin-Yuan Zhao, Defeng Sun, Kim-Chuan Toh
- SIAM Journal on Optimization
- 2010

We consider a Newton-CG augmented Lagrangian method for solving semidefinite programming (SDP) problems from the perspective ofâ€¦Â (More)

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2010

Highly Cited

2010

- Zaiwen Wen, Donald Goldfarb, Wotao Yin
- Math. Program. Comput.
- 2010

We present an alternating direction method based on an augmented Lagrangian framework for solving semidefinite programming (SDPâ€¦Â (More)

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2010

Highly Cited

2010

- Chunlin Wu, Xue-Cheng Tai
- SIAM J. Imaging Sciences
- 2010

In image processing, the Rudin-Osher-Fatemi (ROF) model [L. Rudin, S. Osher, and E. Fatemi, Physica D, 60(1992), pp. 259â€“268â€¦Â (More)

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2009

2009

- Ryota Tomioka, Masashi Sugiyama
- IEEE Signal Processing Letters
- 2009

We propose an efficient algorithm for sparse signal reconstruction problems. The proposed algorithm is an augmented Lagrangianâ€¦Â (More)

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2008

2008

- Ernesto G. Birgin, JosÃ© Mario MartÃnez
- Optimization Methods and Software
- 2008

Optimization methods that employ the classical Powell-Hestenes-Rockafellar Augmented Lagrangian are useful tools for solvingâ€¦Â (More)

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2004

2004

- Dominikus Noll, Mounir Torki, Pierre Apkarian
- SIAM Journal on Optimization
- 2004

We discuss a partially augmented Lagrangian method for optimization programs with matrix inequality constraints. A globalâ€¦Â (More)

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2002

Highly Cited

2002

- Robert Michael Lewis, Virginia Torczon
- SIAM Journal on Optimization
- 2002

We give a pattern search method for nonlinearly constrained optimization that is an adaption of a bound constrained augmentedâ€¦Â (More)

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