Another hybrid approach for solving monotone operator equations and application to signal processing

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

Innovative Materials, Manufacturing and Construction (Strategic Research Themes)

Publication Details

Author list: Poom Kumam, Auwal Bala Abubakar, Abdulkarim Hassan Ibrahim, Hamza Umar Kura,Bancha Panyanak
Nuttapol Pakkaranang

Publisher: Wiley

Publication year: 2022

Journal: Mathematical Methods in the Applied Sciences (0170-4214)

Volume number: 45

Issue number: 12

Start page: 7897

End page: 7922

Number of pages: 26

ISSN: 0170-4214

eISSN: 1099-1476

URL: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85128411521&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/72903

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

This paper presents a hybrid conjugate gradient (CG) approach for solving nonlinear equations and signal reconstruction. The CG parameter of the approach is a convex combination of the Dai-Yuan (DY)-like and Hestenes-Stiefel (HS)-like parameters. Independent of any line search, the search direction is descent and bounded. Under some reasonable assumptions, the global convergence of the hybrid approach is proved. Numerical experiments on some benchmark test problems show that the proposed approach is efficient compared with some existing algorithms. Finally, the proposed approach is applied in signal reconstruction.

Keywords

No matching items found.