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- Title
On TSVD regularization for a Broyden-type algorithm.
- Authors
Smirnova, Alexandra
- Abstract
An applied inverse problem in the form of a nonlinear operator equation on a pair of two Hilbert spaces is considered. In the lack of stability, a version of Broyden’s method regularized by truncated singular value decomposition (TSVD) is proposed in order to suppress the potential noise propagation and to reduce the cost associated with storage and inversion of the Fréchet derivative operator. An attractive feature of this study is that it does not rely on any restrictions on the nonlinearity of the operator and/or on the spectrum of the Fréchet derivative. For the numerical analysis of the proposed algorithm, a parameter identification problem in epidemiology is investigated.
- Subjects
NONLINEAR operator equations; HILBERT space; MATHEMATICAL regularization; EPIDEMIOLOGY; PARAMETER identification
- Publication
Journal of Inverse & Ill-Posed Problems, 2018, Vol 26, Issue 4, p551
- ISSN
0928-0219
- Publication type
Article
- DOI
10.1515/jiip-2017-0086