CAJ | 학술논문

主要研究了非线性算子不可导情形下Newton迭代型的收敛性.通过将不可导算子F分解为可导部分H和不可导部分G,借助Hern(a)ndez采用的修正迭代公式,分析了Newton型迭代的收敛性.相比Hern(a)ndez的结果,本定理所需条件较弱,并且具有较好的误差估计公式.
주요연구료비선성산자불가도정형하Newton질대형적수렴성.통과장불가도산자F분해위가도부분H화불가도부분G,차조Hern(a)ndez채용적수정질대공식,분석료Newton형질대적수렴성.상비Hern(a)ndez적결과,본정리소수조건교약,병차구유교호적오차고계공식.
Convergence of Newton-like iteration for the non-differentiable operator is considered. Dividing the non-differentiable operator F into two parts: the differentiable part H and the non-differentiable part G, making use of the modified iteration formula used by Hernndez, the convergence of the iteration is analyzed. Compared with the result of Hernndez's, the theorem needs milder condition and draw the better conclusion for error estimate.