γ-条件下的一个变形牛顿法的收敛性  

The Convergence for A Deformed Newton Method Under γ-Condition

作　　者：赵岳清[1] 

机构地区：[1]台州学院数学系,浙江临海317000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2007年第5期558-563,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：浙江省自然科学基金资助项目(M103083)

摘　　要：将已有文献中的一个迭代法推广到Banach空间,得到求解非线性算子方程的一个变形牛顿法,建立了它在γ-条件下的Newton-Kantorovich型的收敛性定理及误差估计,并给出两个例子说明收敛性定理的应用.A modified Newton method to solve the nonlinear operator equation in Banach space was presented. The Newton-Kantorovich convergence theorem and error estimate under γ-condition was established,and two examples were provided to show the application of the theorem as well.

关 键 词：非线性算子方程 变形牛顿迭代 BANACH空间 Newton-Kantorovich定理 Γ-条件 

分 类 号：O241.6[理学—计算数学]