非线性方程组的扰动牛顿方法

Disturbed Newton methods for nonlinear equations

提出一种求解非线性方程组F(x)=0的扰动牛顿方法.该方法被证明具有超线性和二次收敛性.同时还给出该方法的一个全局版本.数值结果表明该方法是有效的.

A new class of disturbed Newton methods is proposed for solving the system of nonlinear equations F(x)=0.The proposed methods are proved to possess the superlinear and quadratic convergence.A global version of the methods is also given.Perliminary numerical results show that the proposed global algorithm is promising.