Morozov's discrepancy principle and Tikhonov-type functionals

被引：94

作者：

Bonesky, Thomas ^{[1
]}

机构：

[1] Univ Bremen, D-28334 Bremen, Germany

来源：

INVERSE PROBLEMS | 2009年 / 25卷 / 01期

关键词：

LINEAR INVERSE PROBLEMS; ILL-POSED PROBLEMS; SPARSITY CONSTRAINTS; CONVERGENCE-RATES; BANACH-SPACES; REGULARIZATION; CONVEX;

D O I：

10.1088/0266-5611/25/1/015015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the well-known discrepancy principle of Morozov. We show that the principle can be used as an a posteriori choice rule for determining the regularization parameter of Tikhonov regularization considering more general penalty terms than the classical quadratic one. We show regularization properties as well as convergence rates.

引用

页数：11

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[Anonymous], 2000, MATH ITS APPL

[3]

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