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

作　　者：杨家岭[1] 曹德欣[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221116

出　　处：《郑州大学学报（理学版）》2015年第3期1-6,共6页Journal of Zhengzhou University:Natural Science Edition

基　　金：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

摘　　要：对一类奇异非线性方程组,运用Moore-Penrose广义逆建立牛顿迭代法,分析了其局部收敛性、半局部收敛性以及收敛半径的估计,数值例子也表明了算法的有效性.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 convergence 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 

分 类 号：O241[理学—计算数学]