Banach空间中Jarratt迭代收敛性的注  

A Note on Convergence Theorem for the Jarratt Iteration in Banach Space

作　　者：林荣斐[1] 赵岳清[1] 

机构地区：[1]台州学院数学系,浙江临海317000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2006年第4期413-418,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：浙江省自然科学基金资助项目(M103083)

摘　　要：研究Banach空间中解非线性算子方程避免求逆的Jarratt迭代Newton-Kantorovich型收敛性,给出迭代收敛的误差估计,并用数值例子说明其应用.所得结果是对已有结果的改进和推广.The Newton-Kantorovich convergence theorem of inverse-free Jarratt method in Banach space,which is used to solve the nonlinear operator equation, were investigated, The error estimate was given out, and some examples was provided to show the application of the theorem. The results presented in this paper extended and improved the known results in the literature.

关 键 词：BANACH空间 非线性算子方程 Jarratt迭代 收敛性 

分 类 号：O241.6[理学—计算数学]