Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery

In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations. The global convergence of the algorithm was established under suitable assumptions. Numerical examples presented indicate that the algorithm has a very good performance in solving monotone nonlinear equations. Finally, the algorithm is applied to solve signal recovery problems. Keywords: Non-linear equations, Conjugate gradient method, Projection method, Convex constraints, MSC: 65K05, 90C52, 90C56, 52A20