{ "id": "2012.11000", "version": "v1", "published": "2020-12-20T19:12:16.000Z", "updated": "2020-12-20T19:12:16.000Z", "title": "Iterative regularization methods for a discrete inverse problem in MRI", "authors": [ "A. Leitao", "J. Zubelli" ], "comment": "11 pages", "journal": "CUBO, A Mathematical Journal 10 (2008), no. 2, 137-146", "categories": [ "math.NA", "cs.NA" ], "abstract": "We propose and investigate efficient numerical methods for inverse problems related to Magnetic Resonance Imaging (MRI). Our goal is to extend the recent convergence results for the Landweber-Kaczmarz method obtained in [Haltmeier, Leitao, Scherzer 2007], in order to derive a convergent iterative regularization method for an inverse problem in MRI.", "revisions": [ { "version": "v1", "updated": "2020-12-20T19:12:16.000Z" } ], "analyses": { "subjects": [ "65J20", "47A52" ], "keywords": [ "discrete inverse problem", "convergent iterative regularization method", "convergence results", "landweber-kaczmarz method", "efficient numerical methods" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }