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A modified Newton–Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations
- Source :
- Journal of Complexity. 24:228-240
- Publication Year :
- 2008
- Publisher :
- Elsevier BV, 2008.
-
Abstract
- Recently, a new iterative method, called Newton–Lavrentiev regularization (NLR) method, was considered by George (2006) for regularizing a nonlinear ill-posed Hammerstein-type operator equation in Hilbert spaces. In this paper we introduce a modified form of the NLR method and derive order optimal error bounds by choosing the regularization parameter according to the adaptive scheme considered by Pereverzev and Schock (2005).
- Subjects :
- Statistics and Probability
Well-posed problem
Numerical Analysis
Control and Optimization
Algebra and Number Theory
Iterative method
Applied Mathematics
General Mathematics
Mathematical analysis
Hilbert space
Regularization perspectives on support vector machines
Adaptive choice
Regularization (mathematics)
Nonlinear system
symbols.namesake
symbols
Nonlinear ill-posed equations
Newton-Lavrentiev regularization
Hammerstein equation
Mathematics
Subjects
Details
- ISSN :
- 0885064X
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Journal of Complexity
- Accession number :
- edsair.doi.dedup.....54143b50ff923115703f6161c7327d13