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A Note on Douglas-Rachford Splitting Method for Convex Minimization
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[1]Kang Beibei,Dong Yunda,Wang Yali.A Note on Douglas-Rachford Splitting Method for Convex Minimization[J].Journal of Zhengzhou University (Engineering Science),2017,38(04):94-96.[doi:10.13705/j.issn.1671-6833.2017.01.023]
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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 38 Number of periods: 2017 04 Page number: 94-96 Column: Public date: 2017-07-18
Title:
A Note on Douglas-Rachford Splitting Method for Convex Minimization
Author(s):
Kang Beibei;  Dong Yunda;  Wang Yali
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001
Keywords:
CLC:
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DOI:
10.13705/j.issn.1671-6833.2017.01.023
Abstract:
In a real infinite-dimensional Hilbert space,Douglas-Rachford splitting method for convex minimization was studied.Iff and g in the objective function were closed,proper convex,and the f’s gradient was Lipschitz continuous,then the method’s weak convergence was analyzed.Our analysis allowed the corresponding proximal parameters to vary from iteration to iteration and their upper bound relied on Lipschitz constant off’s gradient.
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