A Family of Conjugate Gradient Projection Method for Nonlinear Monotone Equations with Applications to Compressive Sensing

Authors

Keywords:

non-linear equations, nonotone 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.

Author Biographies

Aliyu Ibrahim Kiri, Bayero University

Senior Lecturer at Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria.

Auwal Bala Abubakar, Bayero University

Lecturer I in the Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University Kano, Nigeria.

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Published

2022-05-31

How to Cite

Kiri, A. I., & Abubakar, A. B. (2022). A Family of Conjugate Gradient Projection Method for Nonlinear Monotone Equations with Applications to Compressive Sensing. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 1(1), 47–65. Retrieved from https://bangmodjmcs.com/index.php/ncao/article/view/76

Issue

Vol. 1 No. 1 (2022): January - June, 2022

Section

Articles

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Copyright (c) 2022 Aliyu Ibrahim Kiri, Auwal Bala Abubakar

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