摘要
在模型具有误差的情况下，讨论了求第一类算子方程解的含闭算子的迭代Ｔｉｋｈｏｎｏｖ正则化方法．运用谱理论建立使正则化逼近解具有最优收敛阶的选取正则参数的方法。
The paper presents an investigation of iterated Tikhonov regularization with closed operators for sloving linear operator equations of the first kind in the presence of modeling and data error. By means of the spectral theory, a parameter selection method that leads to optimal convergence rates is derived. The result of convergence and the rate of convergence toward some least square solution of the equation are given.
出处
《陕西师大学报（自然科学版）》
CSCD
1996年第1期4-8,共5页
Journal of Shaanxi Normal University(Natural Science Edition)
基金
博士后科学基金
国家自然科学基金
关键词
算子方程
TIKHONOV正则化
迭代正则化法
operator equations
iterated Tikhonov regularization
ill posed problems
convergence rates
