# zbMATH — the first resource for mathematics

## Leitão, Antonio

Compute Distance To:
 Author ID: leitao.antonio Published as: Leit\H ao, A.; Leitao, A.; Leitao, Antonio; Leitão, A.; Leitão, Antonio; Leitão, Antonio C. G.; Leitão, António External Links: MGP · Wikidata
 Documents Indexed: 49 Publications since 1996, including 5 Books
all top 5

#### Co-Authors

 8 single-authored 8 De Cezaro, Adriano 6 Baumeister, Johann 5 Scherzer, Otmar 4 Haltmeier, Markus 4 Kindermann, Stefan 4 Zubelli, Jorge P. 3 Markowich, Peter Alexander 3 Marques Alves, Maicon 2 Agnelli, Juan Pablo 2 Bleyer, Ismael Rodrigo 2 Egger, Herbert 2 Engl, Heinz W. 2 Margotti, Fábio 2 Tai, Xuecheng 1 Ascher, Uri M. 1 Baptista Pereira, Francisco 1 Burger, Martin 1 Doel, K.van den 1 Frühauf, Florian 1 Hofmann, Bernd 1 Kaltenbacher, Barbara 1 Kowar, Richard 1 Kügler, Philipp 1 Machado, Matilde P. 1 Machado, Penousal 1 Resmerita, Elena 1 Rieder, Andreas 1 Silva, Gilson N. 1 Svaiter, Benar Fux
all top 5

#### Serials

 10 Inverse Problems 5 Inverse Problems and Imaging 4 Numerical Functional Analysis and Optimization 3 Publicações Matemáticas do IMPA 2 SIAM Journal on Numerical Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Matemática Contemporânea 2 Cubo 2 Inverse Problems in Science and Engineering 1 Applicable Analysis 1 Applied Mathematics and Computation 1 Numerische Mathematik 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Journal of Scientific Computing 1 Journal of Global Optimization 1 Computational and Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Milan Journal of Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Advances in Applied Mathematics and Mechanics 1 Trends in Mathematics
all top 5

#### Fields

 36 Numerical analysis (65-XX) 23 Operator theory (47-XX) 21 Partial differential equations (35-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

39 Publications have been cited 275 times in 162 Documents Cited by Year
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
2007
On the value function for nonautonomous optimal control problems with infinite horizon. Zbl 1114.49027
Baumeister, J.; Leitão, A.; Silva, G. N.
2007
A Mann iterative regularization method for elliptic Cauchy problems. Zbl 0998.65114
Engl, H. W.; Leitão, A.
2001
On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations. Zbl 1157.65032
De Cezaro, A.; Haltmeier, M.; Leitão, A.; Scherzer, O.
2008
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators. Zbl 1092.65046
Frühauf, F.; Scherzer, O.; Leitão, A.
2005
On the relation between constraint regularization, level sets, and shape optimization. Zbl 1030.65062
Leitão, A.; Scherzer, O.
2003
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
2001
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
2010
A Kaczmarz version of the REGINN-Landweber iteration for ill-posed problems in Banach spaces. Zbl 1320.65087
Margotti, Fábio; Rieder, Andreas; Leitão, Antonio
2014
On multiple level-set regularization methods for inverse problems. Zbl 1169.65045
DeCezaro, A.; Leitão, A.; Tai, X-C
2009
Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations. Zbl 1221.65133
De Cezaro, Adriano; Baumeister, Johann; Leitão, Antonio
2011
An iterative method for solving elliptic Cauchy problems. Zbl 0969.65087
Leitão, A.
2000
Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems. Zbl 1203.65087
Doel, K.van den; Ascher, U. M.; Leitão, A.
2010
Mean value iterations for nonlinear elliptic Cauchy problems. Zbl 1081.65104
Kügler, P.; Leitão, A.
2003
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations. Zbl 1344.65052
Leitão, A.; Svaiter, B. F.
2016
Convergence rates for Kaczmarz-type regularization methods. Zbl 1292.65057
Kindermann, Stefan; Leitão, Antonio
2014
Level-set approaches of $$L_2$$-type for recovering shape and contrast in ill-posed problems. Zbl 1257.65029
De Cezaro, A.; Leitão, A.
2012
On regularization methods of EM-Kaczmarz type. Zbl 1181.65150
Haltmeier, M.; Leitão, A.; Resmerita, E.
2009
On level set type methods for elliptic Cauchy problems. Zbl 1126.35086
Leitão, A.; Marques Alves, M.
2007
On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems. Zbl 1302.65147
De Cezaro, Adriano; Leitão, Antonio; Tai, Xue-Cheng
2013
On inverse doping profile problems for the stationary voltage-current map. Zbl 1099.35173
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
2006
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
2004
Nonlinear regularization methods for ill-posed problems with piecewise constant or strongly varying solutions. Zbl 1186.65126
Egger, H.; Leitão, A.
2009
On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces. Zbl 1256.35198
Leitão, A.; Marques Alves, M.
2012
On regularization methods for inverse problems of dynamic type. Zbl 1090.65082
Kindermann, S.; Leitão, A.
2006
Topics in inverse problems. Paper from the 25th Brazilian mathematics colloquium – colóquio Brasileiro de matemática, Rio de Janeiro, Brazil, July 24–29, 2005. Zbl 1087.35094
Baumeister, Johann; Leitão, Antonio
2005
On the identification of piecewise constant coefficients in optical diffusion tomography by level set. Zbl 1358.49031
Agnelli, J. P.; De Cezaro, A.; Leitão, A.; Marques Alves, M.
2017
Semiconductors and Dirichlet-to-Neumann maps. Zbl 1182.35233
Leitão, Antonio
2006
On nonstationary iterated Tikhonov methods for ill-posed equations in Banach spaces. Zbl 06976718
Machado, M. P.; Margotti, Fábio; Leitão, Antonio
2018
New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Zbl 1392.65007
Hofmann, Bernd (ed.); Leitão, Antonio (ed.); Zubelli, Jorge P. (ed.)
2018
Level-set approaches of $$L_2$$-type for recovering shape and contrast in ill-posed problems. Zbl 06245924
De Cezaro, A.; Leitão, A.
2013
Efficient reconstruction methods for nonlinear elliptic Cauchy problems with piecewise constant solutions. Zbl 1262.65063
Egger, Herbert; Leitao, Antonio
2009
On Tikhonov functionals penalized by Bregman distances. Zbl 1190.65093
Bleyer, I. R.; Leitão, A.
2009
Inverse problems for semiconductors: models and methods. Zbl 1115.82039
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
2007
On regularization methods based on dynamic programming techniques. Zbl 1129.65040
Kindermann, S.; Leitão, A.
2007
Optimal exploitation of renewable resource stocks: necessary conditions. Zbl 1073.49032
Baumeister, J.; Leitão, A.
2004
Mean value methods for solving the heat equation backwards in time. Zbl 1041.35088
Leitão, A.
2002
An iteration method for elliptic Cauchy problems and connections with the Backus-Gilbert method. Zbl 0871.35006
Leitão, Antonio C. G.
1996
On nonstationary iterated Tikhonov methods for ill-posed equations in Banach spaces. Zbl 06976718
Machado, M. P.; Margotti, Fábio; Leitão, Antonio
2018
New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Zbl 1392.65007
Hofmann, Bernd (ed.); Leitão, Antonio (ed.); Zubelli, Jorge P. (ed.)
2018
On the identification of piecewise constant coefficients in optical diffusion tomography by level set. Zbl 1358.49031
Agnelli, J. P.; De Cezaro, A.; Leitão, A.; Marques Alves, M.
2017
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations. Zbl 1344.65052
Leitão, A.; Svaiter, B. F.
2016
A Kaczmarz version of the REGINN-Landweber iteration for ill-posed problems in Banach spaces. Zbl 1320.65087
Margotti, Fábio; Rieder, Andreas; Leitão, Antonio
2014
Convergence rates for Kaczmarz-type regularization methods. Zbl 1292.65057
Kindermann, Stefan; Leitão, Antonio
2014
On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems. Zbl 1302.65147
De Cezaro, Adriano; Leitão, Antonio; Tai, Xue-Cheng
2013
Level-set approaches of $$L_2$$-type for recovering shape and contrast in ill-posed problems. Zbl 06245924
De Cezaro, A.; Leitão, A.
2013
Level-set approaches of $$L_2$$-type for recovering shape and contrast in ill-posed problems. Zbl 1257.65029
De Cezaro, A.; Leitão, A.
2012
On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces. Zbl 1256.35198
Leitão, A.; Marques Alves, M.
2012
Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations. Zbl 1221.65133
De Cezaro, Adriano; Baumeister, Johann; Leitão, Antonio
2011
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071
Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio
2010
Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems. Zbl 1203.65087
Doel, K.van den; Ascher, U. M.; Leitão, A.
2010
On multiple level-set regularization methods for inverse problems. Zbl 1169.65045
DeCezaro, A.; Leitão, A.; Tai, X-C
2009
On regularization methods of EM-Kaczmarz type. Zbl 1181.65150
Haltmeier, M.; Leitão, A.; Resmerita, E.
2009
Nonlinear regularization methods for ill-posed problems with piecewise constant or strongly varying solutions. Zbl 1186.65126
Egger, H.; Leitão, A.
2009
Efficient reconstruction methods for nonlinear elliptic Cauchy problems with piecewise constant solutions. Zbl 1262.65063
Egger, Herbert; Leitao, Antonio
2009
On Tikhonov functionals penalized by Bregman distances. Zbl 1190.65093
Bleyer, I. R.; Leitão, A.
2009
On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations. Zbl 1157.65032
De Cezaro, A.; Haltmeier, M.; Leitão, A.; Scherzer, O.
2008
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
2007
On the value function for nonautonomous optimal control problems with infinite horizon. Zbl 1114.49027
Baumeister, J.; Leitão, A.; Silva, G. N.
2007
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
On level set type methods for elliptic Cauchy problems. Zbl 1126.35086
Leitão, A.; Marques Alves, M.
2007
Inverse problems for semiconductors: models and methods. Zbl 1115.82039
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
2007
On regularization methods based on dynamic programming techniques. Zbl 1129.65040
Kindermann, S.; Leitão, A.
2007
On inverse doping profile problems for the stationary voltage-current map. Zbl 1099.35173
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
2006
On regularization methods for inverse problems of dynamic type. Zbl 1090.65082
Kindermann, S.; Leitão, A.
2006
Semiconductors and Dirichlet-to-Neumann maps. Zbl 1182.35233
Leitão, Antonio
2006
Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators. Zbl 1092.65046
Frühauf, F.; Scherzer, O.; Leitão, A.
2005
Topics in inverse problems. Paper from the 25th Brazilian mathematics colloquium – colóquio Brasileiro de matemática, Rio de Janeiro, Brazil, July 24–29, 2005. Zbl 1087.35094
Baumeister, Johann; Leitão, Antonio
2005
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
2004
Optimal exploitation of renewable resource stocks: necessary conditions. Zbl 1073.49032
Baumeister, J.; Leitão, A.
2004
On the relation between constraint regularization, level sets, and shape optimization. Zbl 1030.65062
Leitão, A.; Scherzer, O.
2003
Mean value iterations for nonlinear elliptic Cauchy problems. Zbl 1081.65104
Kügler, P.; Leitão, A.
2003
Mean value methods for solving the heat equation backwards in time. Zbl 1041.35088
Leitão, A.
2002
A Mann iterative regularization method for elliptic Cauchy problems. Zbl 0998.65114
Engl, H. W.; Leitão, A.
2001
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
2001
An iterative method for solving elliptic Cauchy problems. Zbl 0969.65087
Leitão, A.
2000
An iteration method for elliptic Cauchy problems and connections with the Backus-Gilbert method. Zbl 0871.35006
Leitão, Antonio C. G.
1996
all top 5

#### Cited by 264 Authors

 16 Zaslavski, Alexander Yakovlevich 12 Leitão, Antonio 7 De Cezaro, Adriano 6 Baranger, Thouraya Nouri 5 Andrieux, Stéphane 5 Cheng, Xiaoliang 5 Dorn, Oliver 4 Haltmeier, Markus 4 Han, Bo 4 Liou, Yeongcheng 3 Ascher, Uri M. 3 Dang Van Hieu 3 Doel, K.van den 3 Elfving, Tommy 3 Izui, Kazuhiro 3 Johansson, B. Tomas 3 Kindermann, Stefan 3 Margotti, Fábio 3 Nguyen Buong 3 Nguyen Huy Tuan 3 Nishiwaki, Shinji 3 Novotny, Antonio André 3 Scherzer, Otmar 3 Sixou, Bruno 3 Tong, Shanshan 3 Yamada, Takayuki 3 Yao, Yonghong 2 Agnelli, Juan Pablo 2 Burger, Martin 2 Combettes, Patrick L. 2 Gong, Rongfang 2 Griesmaier, Roland 2 Hahn, Bernadette Nadine 2 Han, Weimin 2 Hansen, Per Christian 2 Helsing, Johan 2 Jin, Qinian 2 Lesnic, Daniel 2 Liu, Chunxiao 2 Liu, Weishi 2 Long, Haie 2 Neubauer, Andreas 2 Nikazad, Touraj 2 Pham Ky Anh 2 Ramlau, Ronny 2 Rieder, Andreas 2 Schmiedecke, Christian 2 Sincich, Eva 2 Soleimani, Manuchehr 2 Thang, Le Duc 2 Wang, Jinping 2 Wu, Qingbiao 2 Yu, Yuanjie 2 Zhu, Shengfeng 1 Abbasi, Mokhtar 1 Akylbaev, Musabek I. 1 Alessandrini, Giovanni 1 Alfaro Vigo, Daniel Gregorio 1 Alvarez, Amaury Cruz 1 Ammari, Habib M. 1 Angelo, Jaqueline S. 1 Aspri, Andrea 1 Au, Vo Van 1 Azaïez, Mejdi 1 Banert, Sebastian 1 Batenburg, Kees Joost 1 Baumeister, Johann 1 Beattie, Christopher A. 1 Ben Belgacem, Faker 1 Benning, Martin 1 Binazadeh, Tahereh 1 Blanke, Stephanie E. 1 Boussel, L. 1 Boussetila, Nadjib 1 Bretin, Elie 1 Cai, Jia 1 Caines, Peter Edwin 1 Can, Nguyen Huu 1 Celorrio, Ricardo 1 Ceng, Lu-Chuan 1 Chang, Lili 1 Chapiro, Grigori 1 Chapko, Roman 1 Chaturantabut, Saifon 1 Chen, Ke 1 Chen, Ying-Chieh 1 Cheng, Jin 1 Cheng, Yingda 1 Chung, Cao Van 1 Cimrák, Ivan 1 Clason, Christian 1 de Sturler, Eric 1 Debit, Naïma 1 Ding, Litao 1 Djemoui, Sebti 1 Dou, Yixin 1 Du, Duc Thang 1 Egger, Herbert 1 Ellabib, Abdellatif 1 Engl, Heinz W. ...and 164 more Authors
all top 5

#### Cited in 62 Serials

 16 Inverse Problems in Science and Engineering 14 Inverse Problems 8 Inverse Problems and Imaging 7 Journal of Mathematical Analysis and Applications 7 Numerical Functional Analysis and Optimization 6 Journal of Computational Physics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Inverse and Ill-Posed Problems 4 Fixed Point Theory and Applications 4 Set-Valued and Variational Analysis 3 Applicable Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Methods in the Applied Sciences 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 SIAM Journal on Scientific Computing 3 SIAM Journal on Imaging Sciences 2 Computers & Mathematics with Applications 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Systems & Control Letters 2 International Journal of Computer Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 1 Computers and Fluids 1 International Journal of Control 1 Journal of the Mechanics and Physics of Solids 1 BIT 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Journal of Complexity 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Neural Networks 1 European Journal of Applied Mathematics 1 SIAM Journal on Optimization 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Acta Numerica 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis 1 Optimization Letters 1 Afrika Matematika 1 Journal of Computational Dynamics 1 Journal of Dynamics and Games 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

#### Cited in 28 Fields

 91 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 37 Operator theory (47-XX) 21 Biology and other natural sciences (92-XX) 13 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 10 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 8 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 4 Computer science (68-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.