dc.contributor.author |
Cezaro, Adriano de |
|
dc.contributor.author |
Baumeister, Johann |
|
dc.contributor.author |
Leitão, Antônio |
|
dc.date.accessioned |
2011-08-16T12:45:31Z |
|
dc.date.available |
2011-08-16T12:45:31Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
CEZARO, Adriano de; BAUMEISTER, Johann; LEITÃO, Antonio. Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations. Inverse Problems and Imaging, v. 5, n. 1, p. 1-17, 2011. Disponível em:<http://www.mtm.ufsc.br/~aleitao/public/reprints/pap2011-bcl-IPI.pdf>. Acesso em: 15 ago. 2011. |
pt_BR |
dc.identifier.issn |
1930-8337 |
|
dc.identifier.uri |
http://repositorio.furg.br/handle/1/854 |
|
dc.description.abstract |
We investigate iterated Tikhonov methods coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization method. In the case of noisy data we propose a modi_cation, the so called loping iterated Tikhonov-Kaczmarz method, where a sequence of relaxation parameters is introduced and a di_erent stopping rule is used. Convergence analysis for this method is also provided. |
pt_BR |
dc.language.iso |
eng |
pt_BR |
dc.rights |
open access |
pt_BR |
dc.subject |
Nonlinear systems |
pt_BR |
dc.subject |
Ill-posed equations |
pt_BR |
dc.subject |
Regularization |
pt_BR |
dc.subject |
Iterated Tikhonov method |
pt_BR |
dc.subject |
Kaczmarz method |
pt_BR |
dc.title |
Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations |
pt_BR |
dc.type |
article |
pt_BR |
dc.identifier.doi |
10.3934/ipi.2011.5 |
pt_BR |