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Regularisation by non-standard Krylov methods

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RNT - Rich and Nonlinear Tomography - a multidisciplinary approach

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Goldsmiths 1, Lecture Theatre, Department of Materials Science & Metallurgy Unilever Lecture Theatre, Department of Chemistry, Lensfield Road, Cambridge BNY Mellon Centre, 160 Queen Victoria St, London, EC4V 4LA

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