On regularization methods for inverse problems of dynamic type
| Autor: | Antonio Leitão, Stefan Kindermann |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Control and Optimization
010102 general mathematics Numerical Analysis (math.NA) Inverse problem Type (model theory) 01 natural sciences Regularization (mathematics) Computer Science Applications Linear quadratic optimal control 010101 applied mathematics Dynamic programming 65J20 47A52 65J22 Signal Processing Convergence (routing) FOS: Mathematics Applied mathematics Mathematics - Numerical Analysis 0101 mathematics Analysis Mathematics |
| Popis: | In this paper we consider new regularization methods for linear inverse problems of dynamic type. These methods are based on dynamic programming techniques for linear quadratic optimal control problems. Two different approaches are followed: a continuous and a discrete one. We prove regularization properties and also obtain rates of convergence for the methods derived from both approaches. A numerical example concerning the dynamic EIT problem is used to illustrate the theoretical results. 24 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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