ON THE CHOICE OF THE REGULARIZATION PARAMETER IN NONLINEAR INVERSE PROBLEMS

被引：24

作者：

Ito, K. ^{[1
]}

Kunisch, K. ^{[2
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90024 USA

[2] Graz Tech Univ, Inst Math, A-8010 Graz, Austria

来源：

SIAM JOURNAL ON OPTIMIZATION | 1992年 / 2卷 / 03期

基金：

美国国家科学基金会;

关键词：

nonlinear least squares; Tikhonov regularization; sensitivity analysis; model functions;

D O I：

10.1137/0802019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on regularization techniques for nonlinear ill-posed inverse problems. Tikhonov regularization and regularization due to the use of norm constraints are analyzed. A model function technique is proposed to iteratively determine an optimal regularization parameter or the parameter characterizing the norm constraint, and to estimate the error in the data if it is not known a priori.

引用

页码：376 / 404

页数：29

共 22 条

[1]

BAUMEISTER J, 1987, STABLE SOLUTIONS INV

[2] OUTPUT LEAST-SQUARES STABILITY IN ELLIPTIC-SYSTEMS [J].