非线性方程组的具有单边初值条件的分裂型单调迭代法

Splitting and Monotone Iterative Methods with Initial Value Condition of One Side for Nonlinear System of Equations

中文关键词:  单调迭代法  区间迭代法  分裂型。

英文关键词:monotone iteraive method  interval iteration method  splitting.

中文摘要:

      本文利用区间迭代法的思想，提出了一种使用单边初值条件的分裂型单调迭代方法，证明了该方法的收敛性，并且具体化到常见的单调迭代法。

英文摘要:

      In this paper, we apply an idea of interval iteration methods,to get a splitting andmonotone iterative methods with initial condition of one side. We prove its convergenceand make a concrete analysis on some common monotone iterative methods.