Two relaxed inertial forward-backward-forward algorithms for solving monotone inclusions and an application to compressed sensing

被引：3

作者：

Tan, Bing ^{[1
]}

Qin, Xiaolong ^{[2
,3
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China

[2] Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China

[3] Nanjing Ctr Appl Math, Nanjing, Peoples R China

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2025年

关键词：

Inclusion problems; monotone operator; signal recovery; forward-backward-forward method; convergence rate; SPLITTING METHOD; CONVERGENCE; OPERATORS; SUM;

D O I：

10.4153/S0008414X24000889

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two novel algorithms, which incorporate inertial terms and relaxation effects, are introduced to tackle a monotone inclusion problem. The weak and strong convergence of the algorithms are obtained under certain conditions, and the R-linear convergence for the first algorithm is demonstrated if the set-valued operator involved is strongly monotone in real Hilbert spaces. The proposed algorithms are applied to signal recovery problems and demonstrate improved performance compared to existing algorithms in the literature.

引用

页数：22

共 50 条

[41] Inertial Forward-Backward Algorithms with Perturbations: Application to Tikhonov Regularization [J].

Attouch, Hedy ;

Cabot, Alexandre ;

Chbani, Zaki ;

Riahi, Hassan .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 179 (01) :1-36

[42] Strongly convergent inertial forward-backward-forward algorithm without on-line rule for variational inequalities [J].

Yao, Yonghong ;

Adamu, Abubakar ;

Shehu, Yekini .

ACTA MATHEMATICA SCIENTIA, 2024, 44 (02) :551-566

[43] A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators [J].

Cevher, Volkan ;

Bang Cong Vu .

SET-VALUED AND VARIATIONAL ANALYSIS, 2021, 29 (01) :163-174

[44] An inertial projective forward-backward-forward algorithm for constrained convex minimization problems and applica-tion to cardiovascular disease prediction [J].

Cholamjiak, Prasit ;

Cholamjiak, Watcharaporn ;

Kankam, Kunrada .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2025, 37 (03) :347-360

[45] A NEW INERTIAL FORWARD-BACKWARD SPLITTING ALGORITHM FOR SOLVING MONOTONE INCLUSION PROBLEM AND APPLICATIONS [J].

Puttharak, Phopgao ;

Peeyada, Pronpat ;

Cholamjiak, Prasit ;

Cholamjiak, Watcharaporn .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (07) :1659-1671

[46] RELAXED INERTIAL PROJECTIVE FORWARD-BACKWARD SPLITTING ALGORITHMS FOR REGULARIZED LEAST SQUARE PROBLEMS [J].

Cholamjiak, Watcharaporn ;

Dutta, Hemen .

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2024, 77 (04) :496-503

[47] An Inertial Semi-forward-reflected-backward Splitting and Its Application [J].

Zong, Chun Xiang ;

Tang, Yu Chao ;

Zhang, Guo Feng .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (02) :443-464

[48] A generalized viscosity forward-backward splitting scheme with inertial terms for solving monotone inclusion problems and its applications [J].

Ungchittrakool, Kasamsuk ;

Artsawang, Natthaphon .

AIMS MATHEMATICS, 2024, 9 (09) :23632-23650

[49] Strong convergence of a forward-backward splitting method with a new step size for solving monotone inclusions [J].

Duong Viet Thong ;

Cholamjiak, Prasit .

COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (02)

[50] Forward - Backward Hard Thresholding Algorithm for Compressed Sensing [J].

Shalaby, Wafaa A. ;

Saad, Waleed ;

Shokair, Mona ;

Dessouky, Moawad I. .

2017 34TH NATIONAL RADIO SCIENCE CONFERENCE (NRSC), 2017, :142-151

← 1 2 3 4 5 →