{"title":"Techniques for a priori Choice of Regularizing Parameters in Tikhonov Regularization","authors":"M. Iqbal","doi":"10.12988/imf.2006.06023","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a new strategy for a priori choice of regularization parameters in Tikhonov’s regularization, based on the conditional stability estimate for illposed inverse problems. We show that it can be applied to a wide class of inverse problems. The convergence rate of the regularized solutions is also proved.","PeriodicalId":44573,"journal":{"name":"International Journal of Applied Mathematics & Statistics","volume":"13 1","pages":"15-33"},"PeriodicalIF":0.3000,"publicationDate":"2005-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics & Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2006.06023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we propose a new strategy for a priori choice of regularization parameters in Tikhonov’s regularization, based on the conditional stability estimate for illposed inverse problems. We show that it can be applied to a wide class of inverse problems. The convergence rate of the regularized solutions is also proved.