Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators

被引：2

作者：

Yang, HQ ^{[1
]}

Hou, ZY

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China

[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

nonlinear operator equation; monotone operator; convergence rate;

D O I：

10.1007/BF02879043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators are investigated, and conditions that guarantee convergence rates like O(delta 1/2), O(delta 2/3), and O(delta n/n+1) are given, where delta denotes the noise level of the data perturbation.

引用

页码：252 / 259

页数：8

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