1995 | OriginalPaper | Chapter
Numerical methods for the approximate solution of ill-posed problems on compact sets
Authors : A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola
Published in: Numerical Methods for the Solution of Ill-Posed Problems
Publisher: Springer Netherlands
Included in: Professional Book Archive
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In Chapter 1 we have discussed general questions concerning the construction of regularizing algorithms for solving a wide circle of ill-posed problems. In this Chapter we will consider in some detail the case when we a priori know that the exact solution of the problem belongs to a certain compact set. The idea of this approach was expressed already in 1943 [164].