• 论文 •

### 解凸约束非线性单调方程组的无导数谱PRP投影算法

1. 非线性科学与系统结构重点实验室, 重庆三峡学院, 重庆万州 404100
• 收稿日期:2015-02-06 出版日期:2016-04-15 发布日期:2016-05-13
• 基金资助:

东南大学高校基本科研业务费专项资金,重庆市教委科学技术研究项目(KJ1501003),重庆三峡学院重点项目(14ZD-14).

Liu Jinkui. DERIVATIVE-FREE SPECTRAL PRP PROJECTION METHOD FOR SOLVING NONLINEAR MONOTONE EQUATIONS WITH CONVEX CONSTRAINTS[J]. Mathematica Numerica Sinica, 2016, 38(2): 113-124.

### DERIVATIVE-FREE SPECTRAL PRP PROJECTION METHOD FOR SOLVING NONLINEAR MONOTONE EQUATIONS WITH CONVEX CONSTRAINTS

Liu Jinkui

1. Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Gorges University, Wanzhou 404100, Chongqing, China
• Received:2015-02-06 Online:2016-04-15 Published:2016-05-13

In this paper, based on the famous PRP conjugate gradient method, a derivative-free spectral PRP projection method is proposed for solving nonlinear monotone equations with convex constraints. The global convergence of the proposed method is also established with some suitable conditions. Due to the derivative-free feature and lower storage requirement, the proposed method is very suitable to solve large-scale non-smooth nonlinear monotone equations. Numerical experiments show that the proposed method is efficient and robust.

MR(2010)主题分类:

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