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A Modified Asymptotical Regularization of Nonlinear Ill-Posed Problems.
- Source :
-
Mathematics (2227-7390) . May2019, Vol. 7 Issue 5, p419. 1p. - Publication Year :
- 2019
-
Abstract
- In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work. The convergence analysis is proved under the tangential cone condition, a modified discrepancy principle, i.e., the stopping time T is a solution of ∥ F (x δ (T)) − y δ ∥ = τ δ + for some δ + > δ , and an appropriate source condition. We yield the optimal rate of convergence. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 136754519
- Full Text :
- https://doi.org/10.3390/math7050419