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author:

Zeng, Y.-H. (Zeng, Y.-H..) [1] | Peng, Z. (Peng, Z..) [2] | Yang, Y.-F. (Yang, Y.-F..) [3]

Indexed by:

Scopus

Abstract:

In this paper, a hybrid splitting method is proposed for solving a smoothing Tikhonov regularization problem. At each iteration, the proposed method solves three subproblems. First of all, two subproblems are solved in a parallel fashion, and the multiplier associated to these two block variables is updated in a rapid sequence. Then the third subproblem is solved in the sense of an alternative fashion with the former two subproblems. Finally, the multiplier associated to the last two block variables is updated. Global convergence of the proposed method is proven under some suitable conditions. Some numerical experiments on the discrete ill-posed problems (DIPPs) show the validity and efficiency of the proposed hybrid splitting method. © 2016 Zeng et al.

Keyword:

Alternative direction method of multipliers; Augmented lagrangian method; Parallel splitting method; Tikhonov regularization

Community:

  • [ 1 ] [Zeng, Y.-H.]College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China
  • [ 2 ] [Zeng, Y.-H.]College of Mathematics and Computational Science, Hunan First Normal University, Changsha, 410205, China
  • [ 3 ] [Peng, Z.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China
  • [ 4 ] [Yang, Y.-F.]College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China

Reprint 's Address:

  • [Yang, Y.-F.]College of Mathematics and Econometrics, Hunan UniversityChina

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Source :

Journal of Inequalities and Applications

ISSN: 1025-5834

Year: 2016

Issue: 1

Volume: 2016

0 . 7 9 1

JCR@2016

1 . 5 0 0

JCR@2023

ESI HC Threshold:76

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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