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SUMMARY:Iteratively Reweighted FGMRES and FLSQR for sparse reconstruction 
 - Silvia Gazzola
DTSTART:20200715T130000Z
DTEND:20200715T140000Z
UID:TALK148783@talks.cam.ac.uk
CONTACT:J.W.Stevens
DESCRIPTION:Krylov subspace methods are powerful iterative solvers for lar
 ge-scale linear inverse problems\, such as those arising in image deblurri
 ng and computed tomography. In this talk I will present two new algorithms
  to efficiently solve L2-Lp regularized problems that enforce sparsity in 
 the solution. The proposed approach is based on building a sequence of qua
 dratic problems approximating the original L2-Lp objective function\, and 
 partially solving them using flexible Krylov-Tikhonov methods. These algor
 ithms are built upon a solid theoretical justification for converge\, and 
 have the advantage of building a single (flexible) approximation (Krylov) 
 Subspace that encodes regularization through variable ``preconditioning''.
  The performance of the algorithms will be shown through a variety of nume
 rical examples. This is a joint work with Julianne Chung (Virginia Tech)\,
  James Nagy (Emory University) and Malena Sabate Landman (University of Ba
 th).
LOCATION:Virtual Zoom meeting
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