非线性方程组的分裂型单调迭代法的收敛阶

CONVERGENCE ORDER OF MONOTONE ITERATIVE METHODS OF SPLITTING TYPE FOR A SYSTEM OF NONLINEAR EQUATIONS

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，获得了单调序列的Ｑ——超线性收敛的结果。

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.