求解非线性不适定算子方程的一种Landweber迭代法  

A Landweber iterative method for solving nonlinear ill-posed operator equation

作　　者：王美吉[1] 潘状元[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,哈尔滨150080

出　　处：《哈尔滨商业大学学报（自然科学版）》2013年第5期588-591,共4页Journal of Harbin University of Commerce：Natural Sciences Edition

摘　　要：针对Landweber迭代方法在非线性不适定问题上进行研究.在非线性算子和右端数据皆为近似的前提条件下,基于Frozen Landweber迭代法,提出双扰动的双循环Landweber迭代格式.在一定的条件下,通过证明迭代格式的单调性和收敛性,得出该迭代格式是有效的.This paper studied on the Landweber iterative method on nonlinear ill-posed problem.On the condition of the nonlinear operator and the right end of the data both being approximate,based on Frozen Landweber iterative method,a double circulation Landweber iterative scheme of double perturbation was put forward.Under certain conditions,through improving the monotonicity and convergence of iterative scheme,it was obtained that the iterative scheme was effective.

关 键 词：非线性不适定问题 Landweber迭代法 收敛性 

分 类 号：O241[理学—计算数学]