From `standard' to `nonstandard’ Krylov subspace methods for regularisation

• Date: 25. 4. 2024
• Time: 14:00 - 15:30
• Address:
  Sokolovská 83, Praha
• Room: K1
• Speaker: Silvia Gazzola

This talk is about some so-called `hybrid projection methods’, i.e., regularisation methods that combine iterative regularisation methods (such as Krylov subspace methods) and variational regularisation methods. Hybrid projection methods based on some standard Krylov subspace methods (such as LSQR , LSMR, and GMRES ) and standard Tikhonov regularisation are well-established for linear inverse problems. The emphasis of this talk will be on novel hybrid projection methods that (1) exploit flexible Krylov subspace methods coupled with some generic p-norm regularization, or (2) exploit inexact Krylov subspace methods to handle separable nonlinear inverse problems.