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求双侧迭代初始值的一般方法
引用本文:黄德才 杨万年. 求双侧迭代初始值的一般方法[J]. 重庆大学学报(自然科学版), 1994, 17(1): 117-122
作者姓名:黄德才 杨万年
作者单位:重庆大学系统工程及应用数学系
摘    要:给出了一个求双侧迭代初始值的一般方法,并提供了一个以此方法进行的数值计算实例。

关 键 词:非线性方程 迭代法 偏序

A General Method for the Initial Values for Two-Sided Iteration
Huang Decai,Yang Wannian. A General Method for the Initial Values for Two-Sided Iteration[J]. Journal of Chongqing University(Natural Science Edition), 1994, 17(1): 117-122
Authors:Huang Decai  Yang Wannian
Affiliation:Huang Decai;Yang Wannian
Abstract:In the study on finding a group of inital values for solving operator equation x=G(x)by the two-sided iterative method,some stronger conditions forG(x)have been demandedand some new parameters have to be introduced since 1978,But,as it will be proved in this paper,Itis unnecessary to use any new parameters and other stronger conditions to get a group of initial val-ues of two-sided iterative, as those initial values can be obtained by means of an auxiliary iterativebeginning with operator G(x)itself. The numerical example in this paper illustraves that the methodproposed in this paper is a general method.
Keywords:non-linear equations  iteration metheds  partial order
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