文章基本信息

标题：Regularization parameter selection in discrete ill-posed problems - The use of the U–curve
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作者：Dorota Krawczyk-Stańdo ; Marek Rudnicki
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2007
卷号：17
期号：2
DOI：10.2478/v10006-007-0014-3
出版社：De Gruyter Open
摘要：To obtain smooth solutions to ill-posed problems, the standard Tikhonov regularization method is most often used. For the practical choice of the regularization parameter α we can then employ the well-known L-curve criterion, based on the L-curve which is a plot of the norm of the regularized solution versus the norm of the corresponding residual for all valid regularization parameters. This paper proposes a new criterion for choosing the regularization parameter α, based on the so-called U-curve. A comparison of the two methods made on numerical examples is additionally included
关键词：ill-posed problems; Tikhonov regularization; regularization parameter; L-curve; U-curve