摘要
研究了一阶导数满足仿射反变ω-条件下,Newton迭代法在求解非线性算子方程时的半局部收敛性.这种ω-条件包含了仿射反变Lipschitz条件和仿射反变Hlder条件作为特殊情形.此外,得到了相应迭代残余(‖F(xk)‖)的误差估计,并推广了相应结果.
The semi-local convergence properties of Newton′s iteration method for nonlinear operator equations were studied under the hypothesis that the first derivative satisfies affine contravariant ω-condition.This condition includes the affine contravariant Lipschitz condition and the affine contravariant Hlder condition as special cases.Moreover,the estimations of the iterative residual（‖F（xk）‖） were given and the results obtained before were extended.
出处
《浙江师范大学学报（自然科学版）》
CAS
2011年第1期51-54,共4页
Journal of Zhejiang Normal University:Natural Sciences
