非线性方程组的非单调技术共轭梯度路径法(英文)  

Nonmonotone conjugate gradient path method for nonlinear equations

作　　者：鲍吉锋[1] 朱德通[2] 

机构地区：[1]上海师范大学数理信息学院,上海200234 [2]上海师范大学商学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2008年第2期117-123,共7页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Shanghai Leading Academic Discipline Project(T0401)

摘　　要：提出一种结合非单调技术解非线性方程组的共轭梯度路径法.在合理的假设条件下,证明了算法的整体收敛性和局部超线性收敛速率,数值结果表明了算法的有效性.This paper proposes a nomnonotone conjugate gradient path method for solving nonlinear equations. The global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions. Numerical results are reported to show the effectiveness of the algorithm.

关 键 词：非单调技术 非线性方程组 共轭梯度法 

分 类 号：O221.2[理学—运筹学与控制论]