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Type: Artigo de periódico
Title: The effect of the nonlinearity on GCV applied to Conjugate Gradients in Computerized Tomography
Author: Santos, RJ
De Pierro, AR
Abstract: We study the effect of the nonlinear dependence of the iterate x(k) of Conjugate Gradients method (CG) from the data b in the GCV procedure to stop the iterations. We compare two versions of using GCV to stop CG. In one version we compute the GCV function with the iterate x(k) depending linearly from the data b and the other one depending nonlinearly. We have tested the two versions in a large scale problem: positron emission tomography (PET). Our results suggest the necessity of considering the nonlinearity for the GCV function to obtain a reasonable stopping criterion.
Subject: Generalized Cross Validation
Conjugate Gradients
Country: Brasil
Editor: Soc Brasileira Matematica Aplicada & Computacional
Rights: aberto
Date Issue: 2006
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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