Interplay between preconditioning and regularization for linear ill-posed problems solved by conjugate gradient Application to optical flow estimation
<|reference_start|>Interplay between preconditioning and regularization for linear ill-posed problems solved by conjugate gradient Application to optical flow estimation: This paper investigates the possibilities offered by combining regularization and preconditioning by the same symmetric positive semi-definite operator when solving ill-posed problems. We study the question of the stopping criterion, and the possibility offered by Ritz eigenelements for the a posteriori filtering of the solution and the tuning of Tikhonov's weight. The method is applied as the linear solver for an optical flow estimator and it is coupled with a subspace recycling strategy.<|reference_end|>
@article{chabib2024interplay,
    title={Interplay between preconditioning and regularization for linear
  ill-posed problems solved by conjugate gradient. Application to optical flow
  estimation},
    author={Ahmed Chabib (LaMcube), Jean-Francois Witz (LaMcube), Vincent Magnier
  (LaMcube), Pierre Gosselet (LaMcube)},
    journal={arXiv preprint arXiv:2406.04695},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.04695},
    primaryClass={math.NA cs.NA}
}