Publicações
Publicações em revistas e jornais
[10] Fábio Margotti. Linear functional strategy and the approximate inverse for nonlinear ill-posed problems. Numerical Functional Analysis and Optimization, 44:10, 1060-1093, 2023.
[9] R. Filippozzi, E. Hafemann, J. Rabelo, F. Margotti. A. Leitão. A range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt Kaczmarz method for solving systems of nonlinear ill-posed equations: Application to EIT-CEM with real data. Journal of Inverse and Ill-Posed Problems, 31(2):267-292, 2023.
[8] Fábio Margotti, Eduardo Hafemann. Range-relaxed strategy applied to the Levenberg-Marquardt method with uniformly convex penalization term in Banach spaces. Inverse Problems, 38 (2022) 095001 (35pp).
[7] Antonio Leitão, Fábio Margotti, Benar Svaiter. Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method. IMA Journal of Numerical Analysis, 41(4):2962–2989, 2021.
[6] Fábio Margotti, Joel Rabelo. Tikhonov-like methods with inexact minimization for solving linear ill-posed problems. Inverse Problems 2020, 36 125013.
[5] Majela Pentón, Fábio Margotti and Antonio Leitão. On the choice of Lagrange multipliers in the iterated Tikhonov method for linear ill-posed equations in Banach spaces. Inverse Problems in Science & Engineering, 28(6):796-826, 2020.
[4] Fábio Margotti. Inexact Newton regularization combined with gradient methods in Banach spaces. Inverse Problems, 34(7):075007, 26pp, 2018.
[3] Fábio Margotti. Mixed gradient-Tikhonov methods for solving nonlinear ill-posed problems in Banach spaces. Inverse Problems, 32(12):125012, 25pp, 2016.
[2] Fábio Margotti and Andreas Rieder. An inexact Newton regularization in Banach spaces based on the nonstationary iterated Tikhonov method. J. Inverse and Ill-posed Probl., 23(4):373-392, 2015.
[1] Fábio Margotti, Andreas Rieder and Antonio Leitão. A Kaczmarz version of the REGINN-Landweber iteration for ill-posed problems in Banach spaces. SIAM J. Numer. Anal., 52(3):1439-1465, 2014.
Artigos submetidos para publicação
[1] Marco Pauleti, Fábio Margotti and Andreas Rieder. Inexact Newton regularizations with uniformly convex stability terms: A unified convergence analysis. 2025. Submitted
Livros
[1] Fábio Margotti, Eduardo Hafemann e Lucas Marcilio Santana. Implementação computacional da tomografia por impedância elétrica. Ed. do IMPA, Rio de Janeiro, 2023. ISBN: 978-85-244-0534-1 (print), 978-85-244-0535-8 (ebook).
Capítulos de livros
[2] Alexander Denker, Fabio Margotti, Jianfeng Ning, Kim Knudsen, Derick Nganyu Tanyu, Bangti Jin, Andreas Hauptmann, Peter Maass, Deep learning based reconstruction methods for electrical impedance tomography. In Machine Learning Solutions for Inverse Problems: Part A, Chapter 3. Editor(s): A. Hauptmann, B. Jin, C.-B. Schönlieb, Handbook of Numerical Analysis, Elsevier, Volume 26, 2025, Pages 127-175, ISSN 1570-8659, ISBN 9780443417894.
[1] Majela Pentón, Fábio Margotti and Antonio Leitão. (2018) On nonstationary iterated Tikhonov methods for ill-posed equations in Banach spaces. In: Hofmann B., Leitão A., Zubelli J. (eds). New Trends in Parameter Identification for Mathematical Models. Trends in Mathematics. Birkhäuser, Cham.
Teses e dissertações
Fábio Margotti, On Inexact Newton Methods for Inverse Problems in Banach Spaces, KIT-2015 (Tese de Doutorado. Orientador: Prof. Dr. Andreas Rieder. Em inglês).
Fábio Margotti, Métodos Tipo Newton Inexatos para Problemas Inversos, UFSC-2011 (Dissertação de Mestrado. Orientador: Prof. Dr. Antonio C. G. Leitão).