求解非线性方程组的一种改进的ABS算法

A Modified ABS——type Algorithm for Solving Nonlinear System of Equations

给出了非线性方程组分量方程的一种非线性度量 ,根据这种度量 ,提出了求解非线性方程组的一种改进的 ABS算法 ,用该算法将较少的计算量用于非线性程度较低的分量方程 ,将较多的计算量用于非线性程度较高的方程。初步的数值试验结果表明 ,与原来的非线性 ABS算法相比 ,大多数情况下 。

Considering solving nonlinear system of equations. A measure of the nonlinearity of a component equation of the nonlinear system is proposed, According to this measure, a modified ABS——type algorithm is presented. It spends less computation cost in the component equations with lower nonlinearity and more computation cost in those with higher nonlinearity. Preliminary numerical experiments showed that there is some improvements comparing with the original nonlinear ABS algorithm.