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A General Method for the Initial Values for Two-Sided Iteration
作者姓名:Huang Decai  Yang Wannian
作者单位:Huang Decai;Yang Wannian
摘    要: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.

关 键 词:non-linear  equations  iteration  metheds  partial  order

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].Storage & Process,1994(1):117-122.
Authors:Huang Decai  Yang Wannian
Institution: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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