Author(s)

Yaping Hu, Yujie Wang

College of Science, Tianjin University of Science and Technology, Tianjin, China.

In this paper, a modified Polak-Ribière-Polyak conjugate gradient projection method is proposed for solving large scale nonlinear convex constrained monotone equations based on the projection method of Solodov and Svaiter. The obtained method has low-complexity property and converges globally. Furthermore, this method has also been extended to solve the sparse signal reconstruction in compressive sensing. Numerical experiments illustrate the efficiency of the given method and show that such non-monotone method is suitable for some large scale problems.

Projection Method, Monotone Equations, Conjugate Gradient Method, Compressive Sensing

Hu, Y. and Wang, Y. (2020) An Efficient Projected Gradient Method for Convex Constrained Monotone Equations with Applications in Compressive Sensing. Journal of Applied Mathematics and Physics, 8, 983-998. doi: 10.4236/jamp.2020.86077.