A note on the sufficient initial condition ensuring the convergence of directly extended 3-block ADMM for special semidefinite programming-Reference-Cited by-同舟云学术

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A note on the sufficient initial condition ensuring the convergence of directly extended 3-block ADMM for special semidefinite programming

Published:2018-07-02 Issue:10 Volume:67 Page:1729-1743
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Chang Xiaokai¹²,Liu Sanyang²,Zhao Pengjun³

Affiliation:

1. College of Science, Lanzhou University of Technology, Lanzhou, Gansu, People's Republic of China

2. School of Mathematics and Statistics, Xidian University, Xi'an, People's Republic of China

3. School of Mathematics and Computer Application, Shanglue University, Shanglue, People's Republic of China

Funder

National Natural Science Foundation of China

Publisher

Informa UK Limited

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2018.1490956

Reference18 articles.

1. The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

2. A Convergent 3-Block Semi-Proximal ADMM for Convex Minimization Problems with One Strongly Convex Block

3. On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function

4. Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming

5. Computing the nearest correlation matrix--a problem from finance

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2. The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation;Journal of Function Spaces;2020-04-09

3. A generalization of linearized alternating direction method of multipliers for solving two-block separable convex programming;Journal of Computational and Applied Mathematics;2019-09

4. The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles;Open Mathematics;2019-08-28

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