We study the superoptimal Frobenius operators in the two-level circulant algebra. We consider two specific viewpoints: ( 1) the regularizing properties in imaging and ( 2) the computational effort in connection with the preconditioned conjugate gradient method. Some numerical experiments illustrating the effectiveness of the proposed technique are given and discussed.

Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring

SERRA CAPIZZANO, STEFANO
2005

Abstract

We study the superoptimal Frobenius operators in the two-level circulant algebra. We consider two specific viewpoints: ( 1) the regularizing properties in imaging and ( 2) the computational effort in connection with the preconditioned conjugate gradient method. Some numerical experiments illustrating the effectiveness of the proposed technique are given and discussed.
two-level Toeplitz and circulant matrices; preconditioning; regularization
Di Benedetto, F.; Estatico, C.; SERRA CAPIZZANO, Stefano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/1494930
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