摘要
研究了Landweber迭代的有限维逼近,基于差异原则的修正,提出了一种停止规则以选择迭代的终止指数.揭示出此规则的严格论述,并得出了收敛性和收敛速度.另给出几个数值例子以阐明此规则的适用性.
In this paper finite-dimensional approximation of Landweber iteration is studied and a stopping rule based on modifying the discrepancy principle is proposed to choose the termination index of iteration. The rigorous study on our rule is presented and the convergence and rates of convergence are obtained. Numerical examples are given to illustrate the applicability of our rule.
出处
《复旦学报(自然科学版)》
CAS
CSCD
北大核心
1998年第5期635-643,共9页
Journal of Fudan University:Natural Science