A FAMILY OF CONJUGATE GRADIENT PROJECTION METHOD FOR NONLINEAR MONOTONE EQUATIONS WITH APPLICATIONS TO COMPRESSIVE SENSING

Auwal Bala Abubakar; Poom Kumam; Aliyu Muhammed Awwal

A FAMILY OF CONJUGATE GRADIENT PROJECTION METHOD FOR NONLINEAR MONOTONE EQUATIONS WITH APPLICATIONS TO COMPRESSIVE SENSING

Authors

Auwal Bala Abubakar Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria
Poom Kumam KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
Aliyu Muhammed Awwal Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria

Keywords:

Non-linear equations, Monotone equation, Projection method, Compressive sensing

Abstract

In this work, we propose a family of conjugate gradient projection method for nonlinear monotone equations with convex constraints. Under some appropriate assumptions, the global convergence of the method is established. Numerical examples reported shows that the method is competitive and eﬃcient for solving monotone nonlinear equations. Furthermore, we apply the proposed algorithm to solve the sparse signal reconstruction problem in compressive sensing.

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Published

2020-12-31

How to Cite

Abubakar, A. B., Kumam, P., & Awwal, A. M. (2020). A FAMILY OF CONJUGATE GRADIENT PROJECTION METHOD FOR NONLINEAR MONOTONE EQUATIONS WITH APPLICATIONS TO COMPRESSIVE SENSING. Bangmod International Journal of Mathematical and Computational Science, 5, 37–57. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/43