Abstract
In this paper, a modified Liu-Storey (LS) conjugate gradient projection algorithm is proposed for solving nonlinear monotone equations based on a hyperplane projection technique. The proposed method is a derivative-free method and can be applied to solving large-scale nonsmooth equations for its lower storage requirement. We can establish its global convergence results under some suitable conditions. Numerical results show that this algorithm is efficient and promising. Mathematics Subject Classification: 65K05, 90C26
Highlights
Considering the square nonlinear system of nonlinear monotone equations g(x) = 0, x ∈ n, (1)Yaping Hu and Zengxin Wei where g : n → n is continuous and monotone, i.e. g(x)−g(y), x−y ≥ 0 for ∀x, y ∈ n
We propose a modified Liu-Storey conjugate gradient projection algorithm for nonlinear monotone equations (1)
We develop a modified LS conjugate gradient projection method for solving nonlinear monotone equations
Summary
School of Science, East China University of Science and Technology Shanghai, 200237, China College of Mathematics and Information Science, Guangxi University Nanning, 530004, China Copyright c 2014 Yaping Hu and Zengxin Wei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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