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] Fábio Margotti, Marco Pauleti and Andreas Rieder. Inexact Newton regularizations with uniformly convex stability terms: A unified convergence analysis. 2023. 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

[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).