弱一阶可微条件下Chebyshev迭代法的收敛性  

Convergence of Chebyshev method under mild differentiability conditions of the first derivative

作　　者：凌永辉[1] 潘云兰[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2009年第4期406-410,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省教育厅科研项目(20060492)

摘　　要：摘要:研究了在弱一阶可微条件下,一种变形的Chebyshev迭代法在求解非线性算子方程时的半局部收敛性.这种弱的一阶可微条件包含了常用的Lipschitz条件和H lder条件作为特殊情形,故所得收敛结果具有一般性.同时亦得到相应的误差估界及解的唯一性域等结果.The semilocal convergence properties of a variant of Chebyshev iteration method for nonlinear operator equations were studied under the hypothesis that the first derivative satisfied some mild differentiability conditions.These conditions included the usual Lipschitz condition and the Hlder condition as special cases.The results on the error estimate and the field of uniqueness of the solution were also given.

关 键 词：非线性算子方程 Chebyshev迭代法 半局部收敛性 解的唯一性 

分 类 号：O241[理学—计算数学]