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On optimal methods for solving ill-posed problems with an approximately specified operator, and error estimates for the methods

โœ Scribed by V.P. Tanana


Publisher
Elsevier Science
Year
1977
Weight
478 KB
Volume
17
Category
Article
ISSN
0041-5553

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An Optimal Stopping Rule for the v-Metho
โœ M. Hanke; H.W. Engl ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 639 KB

We design an order-optimal stopping rule for the \(\nu\)-method for solving ill-posed problems with noisy data. The construction of the \(\nu\)-method is based on a sequence of Jacobi polynomials, and the stopping rule is based on a sequence of related Christoffel functions. The motivation for our s