A Strictly Contractive Peaceman-Rachford Splitting Method with Logarithmic-Quadratic Proximal Regularization for Convex Programming

Mathematics of Operations Research ◽

10.1287/moor.2014.0698 ◽

2015 ◽

Vol 40 (4) ◽

pp. 842-858 ◽

Author(s):

Min Li ◽

Xiaoming Yuan

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Proximal Regularization

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Generalized Peaceman-Rachford splitting method for separable convex programming with applications to image processing

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-015-0922-6 ◽

2015 ◽

Vol 51 (1-2) ◽

pp. 605-622 ◽

Author(s):

Min Sun ◽

Jing Liu

Keyword(s):

Image Processing ◽

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

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Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-Block Separable Convex Programming

Splitting Methods in Communication, Imaging, Science, and Engineering - Scientific Computation ◽

10.1007/978-3-319-41589-5_6 ◽

2016 ◽

pp. 195-235 ◽

Author(s):

Bingsheng He ◽

Han Liu ◽

Juwei Lu ◽

Xiaoming Yuan

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

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Convergence Analysis of Douglas--Rachford Splitting Method for “Strongly + Weakly” Convex Programming

SIAM Journal on Numerical Analysis ◽

10.1137/16m1078604 ◽

2017 ◽

Vol 55 (4) ◽

pp. 1549-1577 ◽

Author(s):

Ke Guo ◽

Deren Han ◽

Xiaoming Yuan

Keyword(s):

Convergence Analysis ◽

Convex Programming ◽

Splitting Method ◽

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A splitting method for separable convex programming

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt060 ◽

2014 ◽

Vol 35 (1) ◽

pp. 394-426 ◽

Author(s):

B. He ◽

M. Tao ◽

X. Yuan

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

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The augmented Lagrangian method with full Jacobian decomposition and logarithmic-quadratic proximal regularization for multiple-block separable convex programming

SMAI Journal of Computational Mathematics ◽

10.5802/smai-jcm.30 ◽

2018 ◽

Vol 4 ◽

pp. 81-120

Author(s):

Min Li ◽

Xiaoming Yuan

Keyword(s):

Convex Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Separable Convex Programming ◽

Proximal Regularization ◽

Jacobian Decomposition

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A proximal splitting method for separable convex programming and its application to compressive sensing

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.009.02.05 ◽

2016 ◽

Vol 09 (02) ◽

pp. 392-403 ◽

Author(s):

Hongchun Sun ◽

Min Sun ◽

Houchun Zhou

Keyword(s):

Compressive Sensing ◽

Convex Programming ◽

Splitting Method ◽

Proximal Splitting Method ◽

Separable Convex Programming

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An indefinite proximal Peaceman–Rachford splitting method with substitution procedure for convex programming

Computational and Applied Mathematics ◽

10.1007/s40314-019-0949-7 ◽

2019 ◽

Vol 38 (4) ◽

Author(s):

Zhao Deng ◽

Sanyang Liu

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Substitution Procedure

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Mixing proximal regularization, penalization and parallel decomposition in convex programming

Lecture Notes in Economics and Mathematical Systems - Advances in Optimization ◽

10.1007/978-3-642-51682-5_7 ◽

1992 ◽

pp. 85-99

Author(s):

P. Tossings

Keyword(s):

Convex Programming ◽

Parallel Decomposition ◽

Proximal Regularization

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An ADM-based splitting method for separable convex programming

Computational Optimization and Applications ◽

10.1007/s10589-012-9510-y ◽

2012 ◽

Vol 54 (2) ◽

pp. 343-369 ◽

Author(s):

Deren Han ◽

Xiaoming Yuan ◽

Wenxing Zhang ◽

Xingju Cai

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

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A modified strictly contractive peaceman-rachford splitting method for multi-block separable convex programming

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2017052 ◽

2018 ◽

Vol 14 (1) ◽

pp. 397-412

Author(s):

Su-Hong Jiang ◽

◽

Min Li

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

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