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Under-relaxed Quasi-Newton acceleration for an inverse fixed-point problem coming from Positron-Emission Tomography

Tiara Martini (tiaramartini***at***gmail.com)
Louise Reips (l.reips***at***ufsc.br)
J. M. Martínez (martinez***at***ime.unicamp.br)

Abstract: Quasi-Newton acceleration is an interesting tool to improve the performance of numerical methods based on the fixed-point paradigm. In this work the quasi-Newton technique will be applied to an inverse problem that comes from Positron Emission Tomography, whose fixed-point counterpart has been introduced recently. It will be shown that the improvement caused by the quasi-Newton acceleration procedure is very impressive.

Keywords: Positron Emission Tomography, Fixed-point methods, Quasi-Newton acceleration.

Category 1: Applications -- Science and Engineering

Citation: Journal of Inverse and Ill-posed Problems, 26(6), pp. 755-770. Retrieved 3 Dec. 2018, from doi:10.1515/jiip-2016-0058


Entry Submitted: 09/21/2016
Entry Accepted: 09/21/2016
Entry Last Modified: 12/03/2018

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