摘要
提出了求解非线性方程组ｆｉ（ｘ）＝０，ｉ＝１，２，…ｎ的一种改进的ＡＢＳ算法，用该算法只花费较少的计算量于非线性程度较低的分量方程，而将较多的计算量分配给非线性程度较高的方程。初步的数值试验表明，多数情况下这种方法比原来的非线性ＡＢＳ算法收敛快。
A modified ABS-type algorithm is proposed for solving nonlinear system of equations f_k(x)=0,k=1,2,…,n.It spends less computation cost in the compo- nent equations with lower nonlinearity and more computation cost in those with higher nonlinearity.Preliminary numerical experiments show that there is some im- provement comparing with the original nonlinear ABS algorithm.
基金
中国科学院决策、信息系统开放实验室资助项目
关键词
非线性方程组
非线性ABS
nonlinear system of equations
nonlinear ABS algorithm
nonlinearity
search vector
minor iterate
convergence precision nonlinear Huang algorithm
