6533b7d5fe1ef96bd1264557
RESEARCH PRODUCT
A Note on the Nonlinear Landweber Iteration
Martin Hankesubject
Nonlinear systemControl and OptimizationPower iterationSignal ProcessingMathematical analysisNoise levelResidualRegularization (mathematics)AnalysisLandweber iterationMultipleComputer Science ApplicationsMathematicsdescription
We reconsider the Landweber iteration for nonlinear ill-posed problems. It is known that this method becomes a regularization method in the case when the iteration is terminated as soon as the residual drops below a certain multiple of the noise level in the data. So far, all known estimates of this factor are greater than two. Here we derive a smaller factor that may be arbitrarily close to one depending on the type of nonlinearity of the underlying operator equation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-07-31 | Numerical Functional Analysis and Optimization |