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Numerical methods for the approximate solution of ill-posed problems on compact sets

  • A. N. Tikhonov
  • A. V. Goncharsky
  • V. V. Stepanov
  • A. G. Yagola
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 328)

Abstract

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].

Keywords

Exact Solution Approximate Solution Uniform Convergence Convex Combination Bounded Variation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • A. N. Tikhonov
    • 1
  • A. V. Goncharsky
    • 1
  • V. V. Stepanov
    • 1
  • A. G. Yagola
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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