Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Fábio Margotti"'
Publikováno v:
IMA Journal of Numerical Analysis. 41:2962-2989
In this article we propose a novel strategy for choosing the Lagrange multipliers in the Levenberg-Marquardt method for solving ill-posed problems modeled by nonlinear operators acting between Hilbert spaces. Convergence analysis results are establis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e47eace426e6c7dae1af6af10f40ece1
https://doi.org/10.1093/imanum/draa050
https://doi.org/10.1093/imanum/draa050
Publikováno v:
Inverse Problems in Science and Engineering. 28:796-826
This article is devoted to the study of nonstationary Iterated Tikhonov (nIT) type methods (Hanke M, Groetsch CW. Nonstationary iterated Tikhonov regularization. J Optim Theory Appl. 1998;98(1):37–...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f06430d65413f94daadb01b2a134a11
https://doi.org/10.1080/17415977.2019.1662001
https://doi.org/10.1080/17415977.2019.1662001
Autor:
Fábio Margotti, Eduardo Hafemann
Publikováno v:
Inverse Problems. 38:095001
In this paper we propose the employment of the so-called range-relaxed criteria Boiger et al (2020 IMA J. Numer. Anal. 40 606–627) for choosing the regularization parameters (or equivalently, the Lagrange multipliers) of the Levenberg–Marquardt m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8ccac0f72619017c6e29deb98073330
https://doi.org/10.1088/1361-6420/ac7e68
https://doi.org/10.1088/1361-6420/ac7e68
Autor:
Joel Rabelo, Fábio Margotti
Publikováno v:
Inverse Problems. 36:125013
In this article we propose and study the properties of three distinct algorithms for obtaining stable approximate solutions for systems of ill-posed equations, modeled by linear operators acting between Hilbert spaces. Based on Tikhonov-like methods
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c32d4ddba2e911af13176baef475102
https://doi.org/10.1088/1361-6420/abc66c
https://doi.org/10.1088/1361-6420/abc66c
Autor:
Andreas Rieder, Fábio Margotti
Publikováno v:
Journal of Inverse and Ill-posed Problems. 23:373-392
A version of the nonstationary iterated Tikhonov method was recently introduced to regularize linear inverse problems in Banach spaces [Inverse Problems 28 (2012), Article ID 104011]. In the present work we employ this method as inner iteration of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7273b52cc5eed31bc8380e2c312bae5
https://doi.org/10.1515/jiip-2014-0035
https://doi.org/10.1515/jiip-2014-0035
Publikováno v:
SIAM Journal on Numerical Analysis. 52:1439-1465
In this work we present and analyze a Kaczmarz version of the iterative regularization scheme REGINN-Landweber for nonlinear ill-posed problems in Banach spaces [Q. Jin, Inverse Problems 28 (2012), 065002]. Kaczmarz methods are designed for problems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::196f8a83bc50511bd2782d57fa1cda2a
https://doi.org/10.1137/130923956
https://doi.org/10.1137/130923956
Autor:
Fábio Margotti
Publikováno v:
Inverse Problems. 34:075007
In this paper we investigate convergence and stability properties of an adaptation to Banach spaces of the algorithm REGINN (Rieder 1999 Inverse Problems 15 309–27). This inexact Newton method solves nonlinear inverse problems by means of linearizi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47b8c3f55ce234f38e0a4353762867fd
https://doi.org/10.1088/1361-6420/aac21f
https://doi.org/10.1088/1361-6420/aac21f
Autor:
Fábio Margotti
Publikováno v:
Inverse Problems. 32:125012
Tikhonov regularization is a very useful and widely used method for finding stable solutions of ill-posed problems. A good choice of the penalization functional as well as a careful selection of the topologies of the involved spaces is fundamental to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1722d883a5e65fcd89cb38b782a84053
https://doi.org/10.1088/0266-5611/32/12/125012
https://doi.org/10.1088/0266-5611/32/12/125012