A class of parameter choice rules for stationary iterated weighted Tikhonov regularization scheme
| Autor: | G. D. Reddy |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Applied Mathematics 020206 networking & telecommunications 02 engineering and technology Regularization (mathematics) Tikhonov regularization Computational Mathematics 020901 industrial engineering & automation Rate of convergence Iterated function 0202 electrical engineering electronic engineering information engineering Applied mathematics A priori and a posteriori Mathematics |
| Zdroj: | Applied Mathematics and Computation. 347:464-476 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.11.015 |
| Popis: | Regularization procedure involves the regularization parameter that plays a crucial role in the convergence analysis of the regularization scheme. Recently, Reddy (2017) has proposed two a posteriori parameter choice rules to choose the regularization parameter in the weighted Tikhonov regularization scheme. The primary purpose of this article is to introduce a class of parameter choice rules to choose the regularization parameter in the stationary iterated weighted Tikhonov (SIWT) regularization scheme and derive the optimal rate of convergence O ( δ j ( α + 1 ) 1 + j ( α + 1 ) ) for a stationary iterated method based on these proposed rules. The numerical experiments support our theoretical results. |
| Databáze: | OpenAIRE |
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