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Cezaro, Adriano de; Leitão, Antônio
(2012)
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Cezaro, Adriano de; Baumeister, Johann; Leitão, Antônio
(2011)
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 ...
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Cezaro, Adriano de; Leitão, Antônio; Tai, Xue-Cheng
(2009)
We propose a regularization method for solving ill-posed problems, under the assumption that the solutions are piecewise constant functions with unknown level sets and unknown level values. A level set framework is established ...
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Cezaro, Adriano de; Leitão, Antônio; Tai, Xue-Cheng
(2009)
We analyze a multiple level-set method for solving inverse problems with piecewise constant solutions. This method corresponds to an iterated Tikhonov method for a particular Tikhonov functional Gα based on TV–H1 penalization. ...
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Cezaro, Adriano de; Leitão, Antônio; Tai, Xue-Cheng
(2013)
We investigate level-set-type methods for solving ill-posed problems with discontinuous (piecewise constant) coefficients. The goal is to identify the level sets as well as the level values of an unknown parameter function ...
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Cezaro, Adriano de; Haltmeier, Markus; Leitão, Antônio; Scherzer, Otmar
(2008)
We investigate modified steepest-descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent ...
