Parameterized Douglas-Rachford dynamical system for monotone inclusion problems
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Bibliographic record
Abstract
Douglas-Rachford splitting method with resolvent operator is a renowned algorithm to solve monotone inclusion problem involving sum of two monotone operators.In this paper, we investigate a Douglas-Rachford-based dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators.Our main aim is to use parametrized resolvent instead of classical resolvent as the Douglas-Rachford operator in the framework of preconditioning.The convergence of the orbit is demonstrated.We also add a Tikhonov regularized term (both inner and outer regularization) to obtain strong convergence of the induced orbit.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.004 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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