一阶Hlder条件下带参数的修正型Euler-Halley迭代族的局部收敛性  

CONVERGENCE OF THE FAMILY OF THE DEFORMED EULER-HALLEY ITERATIONS WITH PARAMETERS UNDER THE HOLDER CONDITION OF THE DERIVATIVE

作　　者：罗先发[1] 叶新涛[2] 

机构地区：[1]东南大学数学系,南京210096 [2]南京晓庄学院数学系,南京210038

出　　处：《高等学校计算数学学报》2005年第2期185-192,共8页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(10271025).

摘　　要：The convergence problem of the family of the deformed Euler-Halley iterations with parameters for solving nonlinear operator equations in Banach spaces are studied. Under the assumption that the derivative of an operator satisfies the Hoelder condition， the local convergence of order 1 + p of the family of the deformed Euler-Halley iterations are established.The convergence problem of the family of the deformed Euler-Halley iterations with parameters for solving nonlinear operator equations in Banach spaces are studied. Under the assumption that the derivative of an operator satisfies the Holder condition, the local convergence of order 1 +p of the family of the deformed Euler-Halley iterations are established.

关 键 词：Hoelder条件 Euler-Halley迭带族 局部收敛性 非线性算子函数 复动力系绞 

分 类 号：O19[理学—数学] O242.23[理学—基础数学]