A parallel Tseng's splitting method for solving common variational inclusion applied to signal recovery problems

被引：13

作者：

Suparatulatorn, Raweerote ^{[1
,2
]}

Cholamjiak, Watcharaporn ^{[3
]}

Gibali, Aviv ^{[4
,5
]}

Mouktonglang, Thanasak ^{[1
,2
]}

机构：

[1] Chiang Mai Univ, Adv Res Ctr Computat Simulat, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[3] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[4] ORT Braude Coll, Dept Math, IL-2161002 Karmiel, Israel

[5] Univ Haifa, Ctr Math & Sci Computat, IL-3498838 Haifa, Israel

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Common variational inclusion problem; Inertial proximal algorithm; Tseng's splitting algorithm; Compressed sensing; Communications technology; Information and communication technology; THRESHOLDING ALGORITHM; CONVERGENCE;

D O I：

10.1186/s13662-021-03647-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng's splitting algorithm, and more, for solving the common variational inclusion problem in real Hilbert spaces. We establish a strong convergence theorem of the algorithm under standard and suitable assumptions and illustrate the applicability and advantages of the new scheme for signal recovering problem arising in compressed sensing.

引用

页数：19

共 27 条

[1]

Bauschke HH, 2011, CMS BOOKS MATH, P1, DOI 10.1007/978-1-4419-9467-7

[2] A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems [J].