New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems

This work presents a new three-term projection algorithm for solving nonlinear monotone equations. The paper is aimed at constructing an efficient and competitive algorithm for finding approximate solutions of nonlinear monotone equations. This is based on a new choice of the conjugate gradient dire...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:International journal of computer mathematics Ročník 100; číslo 10; s. 1992 - 2013
Hlavní autori: Abubakar, Auwal Bala, Kumam, Poom, Liu, Jinkui, Mohammad, Hassan, Tammer, Christiane
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Abingdon Taylor & Francis 03.10.2023
Taylor & Francis Ltd
Predmet:
Algorithms
conjugate gradient
Conjugate gradient method
Nonlinear equations
projection map
Recovery
Signal reconstruction
signal recovery
ISSN:0020-7160, 1029-0265
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:This work presents a new three-term projection algorithm for solving nonlinear monotone equations. The paper is aimed at constructing an efficient and competitive algorithm for finding approximate solutions of nonlinear monotone equations. This is based on a new choice of the conjugate gradient direction which satisfies the sufficient descent condition. The convergence of the algorithm is shown under Lipschitz continuity and monotonicity of the involved operator. Numerical experiments presented in the paper show that the algorithm needs a less number of iterations in comparison with existing algorithms. Furthermore, the proposed algorithm is applied to solve signal recovery problems.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2023.2239947