郑州大学学报（理学版）Issue(3)：1-6,6.DOI:10.3969/j.issn.1671-6841.2015.03.001
关于解一类奇异非线性方程组的牛顿法的收敛性
Convergence Property of Newton’ s Method for Solving a Class of Singular Nonlinear Equations
摘要
Abstract
Moore-Penrose inverse was used to construct Newton’ s method for solving a class of singular nonlinear equations. The local and semilocal convergence were established, and the radius of conver-gence ball was also obtained. The validity of the algorithm was indicated by a numerical example.关键词
奇异非线性方程组/牛顿法/Moore-Penrose逆/半局部收敛Key words
singular nonlinear equations/Newton’ s method/Moore-Penrose inverse/semilocal conver-gence分类
数理科学引用本文复制引用
杨家岭,曹德欣..关于解一类奇异非线性方程组的牛顿法的收敛性[J].郑州大学学报（理学版）,2015,(3):1-6,6.基金项目
国家自然科学基金资助项目,编号70901073 （）
中央高校基本科研业务费专项资金资助项目,编号JGK101676 （）
