Banach空间中的正则Landweber迭代法  

On the Regular Landweber Iteration for Nonlinear Ill-posed Problems in Banach Spaces

作　　者：李景[1,2] 刘振海[1] 

机构地区：[1]中南大学数学科学与计算数学学院,湖南长沙410075 [2]长沙理工大学数学与计算科学学院,湖南长沙410076

出　　处：《湖南大学学报（自然科学版）》2009年第7期89-92,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10671211)

摘　　要：利用一致凸一致光滑的Banach空间的几何性质,研究了Banach空间中线性和非线性算子的正则Landweber迭代法.假定所测的右端数据具有扰动的情况下,得出了此正则Landweber迭代法的收敛性.Using the geometrical properties of uniformly convex and uniformly smooth Banach spaces, we have discussed the regularized Landweber iteration for linear and nonlinear ill-posed problems in Banach spaces. The data involved are assumed to be known approximately, and we have obtained the convergence of regular solutions.

关 键 词：正则化 不适定 迭代法 收敛性 

分 类 号：O171[理学—数学]