期刊
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
卷 15, 期 3, 页码 279-289出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/cmam-2015-0008
关键词
Regularization; Linear Ill-Posed Operator Equations; Error Estimates; Convergence Rates; Sparsity; Variational Source Condition
资金
- German Research Foundation (DFG) [FL 832/1-1, HO 1454/8-2]
- DAAD [56266051]
- Ministry of Science of the Republic of Croatia
Based on the powerful tool of variational inequalities, in recent papers convergence rates results on l(1)-regularization for ill-posed inverse problems have been formulated in infinite dimensional spaces under the condition that the sparsity assumption slightly fails, but the solution is still in l(1). In the present paper, we improve those convergence rates results and apply them to the Cesaro operator equation in l(2) and to specific denoising problems. Moreover, we formulate in this context relationships between Nashed's types of ill-posedness and mapping properties like compactness and strict singularity.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据