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求解互补问题的Newton方法的半局部收敛性
引用本文:王征宇,沈祖和.求解互补问题的Newton方法的半局部收敛性[J].高等学校计算数学学报,2004,26(4):371-377.
作者姓名:王征宇  沈祖和
作者单位:南京大学计算机软件新技术国家重点实验室,南京,210093/南京大学数学系,南京,210093;南京大学数学系,南京,210093
摘    要:A semilocal convergence theorem is given for Newton method solving complementarity problems, which is identical in form to the standard Kantorovich theorem. All the convergence condition can be verified computationally.

关 键 词:Newton方法  局部收敛性  互补问题  求解

SEMILOCAL CONVERGENCE OF NEWTON METHOD FOR COMPLEMENTARITY PROBLEMS
Wang Zhengyu.SEMILOCAL CONVERGENCE OF NEWTON METHOD FOR COMPLEMENTARITY PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities,2004,26(4):371-377.
Authors:Wang Zhengyu
Abstract:A semilocal convergence theorem is given for Newton method solving complementarity problems, which is identical in form to the standard Kantorovich theorem. All the convergence condition can be verified computationally.
Keywords:complementarity problems  Newton iteration  semilocal convergence  Kantorovich theorem  
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