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解凸约束非线性单调方程组的无导数谱PRP投影算法

本站小编 Free考研考试/2021-12-27

刘金魁
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).


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

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







摘要



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本文在著名PRP共轭梯度算法的基础上研究了一种无导数谱PRP投影算法,并证明了算法在求解带有凸约束条件的非线性单调方程组问题的全局收敛性.由于无导数和储存量小的特性,它更适应于求解大规模非光滑的非线性单调方程组问题.数值试验表明,新算法对给定的测试问题是有效的和稳定的.
MR(2010)主题分类:
65K05
90K56

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