@article{b0ce4b37025245dc9b2efcf09eee7666,
title = "Another hybrid approach for solving monotone operator equations and application to signal processing",
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 = "compressive sensing, global convergence, gradient method, l-norm minimization, projection method, signal reconstruction",
author = "Poom Kumam and Abubakar, {Auwal Bala} and Ibrahim, {Abdulkarim Hassan} and Kura, {Hamza Umar} and Bancha Panyanak and Nuttapol Pakkaranang",
note = "Funding Information: The authors would like to thanks the referees and editor for reading this paper carefully, providing valuable suggestions and comments, and pointing out a minor errors in the original version of this paper. The second author acknowledges with thanks the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. The fifth author was supported by Chiang Mai University and the NSRF via the Program Management Unit for Human Resources and Institutional Development, Research and Innovation (grant number B05F640183). The sixth author was partially financial supported by Phetchabun Rajabhat University (grant number 4110647). Moreover, this project is funded by National Research Council of Thailand (NRCT) under Research Grants for Talented Mid-Career Researchers (Contract No. N41A640089). Funding Information: The authors would like to thanks the referees and editor for reading this paper carefully, providing valuable suggestions and comments, and pointing out a minor errors in the original version of this paper. The second author acknowledges with thanks the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. The fifth author was supported by Chiang Mai University and the NSRF via the Program Management Unit for Human Resources and Institutional Development, Research and Innovation (grant number B05F640183). The sixth author was partially financial supported by Phetchabun Rajabhat University (grant number 4110647). Moreover, this project is funded by National Research Council of Thailand (NRCT) under Research Grants for Talented Mid‐Career Researchers (Contract No. N41A640089). Publisher Copyright: {\textcopyright} 2022 John Wiley & Sons, Ltd.",
year = "2022",
month = aug,
doi = "10.1002/mma.8285",
language = "English",
volume = "45",
pages = "7897--7922",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "John Wiley and Sons Ltd",
number = "12",
}