期刊论文

Dai, Zhifeng

英文

Mathematics

2227-7390

2020

8

2

168

10.3390/math8020168

Acknowledgments: This work was supported by the National Natural Science Foundation of China, grants 71771030, and 11301041; and the Scientific Research Fund of Hunan Provincial Education Department, grant number 19A007. This research is supported by the NSF of China granted 71771030, 11301041, and fund of Hunan Provincial Education Department granted 19A007. This work was supported by the National Natural Science Foundation of China, grants 71771030, and 11301041; and the Scientific Research Fund of Hunan Provincial Education Department, grant number 19A007. Funding: This research is supported by the NSF of China granted 71771030, 11301041, and fund of Hunan Provincial Education Department granted 19A007.

本校为第一且通讯机构

The goal of this paper is to extend the modified Hestenes-Stiefel method to solve large-scale nonlinear monotone equations. The method is presented by combining the hyperplane projection method (Solodov, M.V.; Svaiter, B.F. A globally convergent inexact Newton method for systems of monotone equations, in: M. Fukushima, L. Qi (Eds.)Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, Kluwer Academic Publishers. 1998, 355-369) and the modified Hestenes-Stiefel method in Dai and Wen (Dai, Z.; Wen, F. Global convergence of ...