求解非线性方程组的一个预测──校正迭代格式

A Prediction-correction Iterative Scheme for Solving Numerically Nonlinear Equation Systems

提出了一个求解非线性方程组的一个预测───校正迭代格式，讨论了算法的收敛性，数值实例表明，该方法收敛速度接近二次收敛，且具有较大的收敛区域，尤其对高变元问题具有实际应用价值。

In this paper,a prediction- correction(P- C)iterative scheme forsolving numerically nonlinear equation systems is proposed and the convergence of the pre- sented algorithm is discussed.The numerical examples show that the presented P-C algo- rithm has relatively large convergent vegion and approximately quadrialic convergent rate.Especially,the scheme is more practical as the number of variables is large.