Abstract
In this chapter we discuss schemes of constructing iterative approximations for the wide range of non-linear mappings originating from the non-linear ill-posed problems, as well as the regularizing algorithms based on such approximations. The traditional variational technique of constructing approximations (see Chapter 3) though being applicable to non-linear case, does not directly lead to numerically implementable RA. This occurs due to additional approximations (usually the iterative ones) which are necessary to calculate values of operatorsR a (orRĪ“).
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Ā© 1994 Springer Science+Business Media Dordrecht
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Bakushinsky, A., Goncharsky, A. (1994). Iterative algorithms for solving non-linear ill-posed problems with monotonic operators. Principle of iterative regularization. In: Ill-Posed Problems: Theory and Applications. Mathematics and Its Applications, vol 301. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1026-6_5
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DOI: https://doi.org/10.1007/978-94-011-1026-6_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4447-9
Online ISBN: 978-94-011-1026-6
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