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。
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.
关键词
单调迭代法
分裂型
非线性方程组
monotone iteraive method,interval iteration method,splitting.