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

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.


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