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非线性方程组的分裂型单调迭代法的收敛阶
引用本文:陈晓红,彭宏.非线性方程组的分裂型单调迭代法的收敛阶[J].四川师范大学学报(自然科学版),1997,20(2):21-27.
作者姓名:陈晓红  彭宏
作者单位:[1]成都市职工大学 [2]华南理工大学
摘    要:本文研究了最近发展的非线性方程组的分裂型单调迭代法的收敛阶,获得了单调序列Q-超线性收敛的结果,完善了分裂型单调迭代方法的理论。

关 键 词:非线性方程组  分裂型  单调迭代法  收敛阶

CONVERGENCE ORDER OF MONOTONE ITERATIVE METHODS OF SPLITTING TYPE FOR A SYSTEM OF NONLINEAR EQUATIONS
Chen,Xiaohong.CONVERGENCE ORDER OF MONOTONE ITERATIVE METHODS OF SPLITTING TYPE FOR A SYSTEM OF NONLINEAR EQUATIONS[J].Journal of Sichuan Normal University(Natural Science),1997,20(2):21-27.
Authors:Chen  Xiaohong
Abstract:This paper stadies the convergence order of monotone iterative methods of splitting type for a system of nonlinear equations. A Q linear overconvergence theorem for the monotone iterative seguence of splitling type is proved. The result perfects the theory of monotone iterative methods of splitting type for nonlinear equations.
Keywords:System of nonlinear equations  Monotone iterative method of splitting type  Convergence order
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