@article{91e3fffa10404a8da9809d5129e0f3b8,
title = "On the new spectral conjugate gradient-type method for monotone nonlinear equations and signal recovery",
abstract = "We present a new approach for constructing a spectral conjugate gradient-type method for solving nonlinear equations. The proposed method uses an approximate optimal step size together with the memoryless Broyden–Fletcher–Goldfarb–Shanno (BFGS) formula to generate a new choice of the spectral conjugate gradient-type direction that satisfies the sufficient descent condition without line search requirement. The global convergence of the method is achieved under some mild assumptions. Numerical experiments on both nonlinear monotone equations and signal reconstruction problems reveal the efficiency of the new approach.",
keywords = "global convergence, gradient-type method, nonlinear equations, signal recovery",
author = "Abubakar, {Auwal Bala} and Hassan Mohammad and Poom Kumam and Rano, {Sadiya Ali} and Ibrahim, {Abdulkarim Hassan} and Kiri, {Aliyu Ibrahim}",
note = "Funding Information: The authors acknowledge the financial support provided by the Center of Excellence in Theoretical and Computational Science (TaCS‐CoE), KMUTT. Also, the (first) author (Dr. Auwal Bala Abubakar) would like to thank the Postdoctoral Fellowship from King Mongkut's University of Technology Thonburi (KMUTT), Thailand. Moreover, this project is funded by the National Research Council of Thailand (NRCT) under Research Grants for Talented Mid‐Career Researchers (Contract no. N41A640089). Also, the first author acknowledge with thanks the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. Funding Information: This research was supported by the Center of Excellence in Theoretical and Computational Science (TaCS‐CoE), KMUTT. Funding information Publisher Copyright: {\textcopyright} 2022 John Wiley & Sons, Ltd.",
year = "2022",
doi = "10.1002/mma.8479",
language = "English",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "John Wiley and Sons Ltd",
}