A Descent Dai-Liao Projection Method for Convex Constrained Nonlinear Monotone Equations with Applications

Auwal Bala Abubakar, Poom Kumam, Aliyu Muhammed Awwal

Abstract

In this article, we propose a descent Dai-Liao projection method to solve nonlinear monotone equations with convex constraints.  Under some suitable conditions, we prove the global convergence of the method. Numerical experiments presented shows that the method is efficient and promising compared to existing method for solving monotone nonlinear equations. Finally, the proposed method was applied to solve the sparse signal reconstruction problem in compressive sensing.