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The use of robust methods to solve ill-posed problems

โœ Scribed by V.Ya. Arsenin; A.V. Kryanev; M.V. Tsupko-Sitnikov


Publisher
Elsevier Science
Year
1989
Weight
480 KB
Volume
29
Category
Article
ISSN
0041-5553

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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