Publicações
Trabalhos Aceitos
V. Albani, U. Ascher and J.P. Zubelli.
Local Volatility Models in Commodity Markets and Online Calibration,
aceito no Journal of Computational Finance (pdf).
L. Bedin and F.S. Viloche Bazán.
A note on existence and uniqueness for a 2D bioheat problem,
aceito no in Appl. Anal (doi).
F. Bozzoli, L. Cattani, S. Rainieri, F.S.V. Bazán and L.S. Borges.
Estimation of the local heat transfer coefficient in coiled tubes: Comparison between Tikhonov regularization method and Gaussian Filtering Technique,
aceito no Int. J. of Num. Meth. for Heat and Fluid Flow (pdf).
M. Marques Alves, R.D.C. Monteiro and B.F. Svaiter.
Regularized HPE-type methods for solving monotone inclusions with improved pointwise iteration-complexity bounds,
aceito no SIAM Journal on Optimization (pdf).
2017
J.B. Francisco, F.S.V. Bazán and M. Weber Mendonça.
Non-monotone algorithm for minimization on arbitrary domains with applications to large-scale orthogonal Procrustes problem,
Appl. Num. Math., v. 112, p. 51-64 (doi).
2016
J.P. Agnelli, A. De Cezaro, A. Leitão and M. Marques Alves.
On the identification of piecewise constant coefficients in optical diffusion tomography by level set,
ESAIM Control Optimization and Calculus Variations, v. 1, p. 1-26 (doi).
V. Albani, P. Elbau, M.V. de Hoop and O. Scherzer.
Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces,
Numerical Functional Analysis and Optimization, v. 37(5), p. 521-540 (pdf, doi).
V. Albani A. De Cezaro and J.P. Zubelli.
On the Choice of the Tikhonov Regularization Parameter and the Discretization Level: A Discrepancy-Based Strategy,
Inverse Problems and Imaging, v. 10(1), p. 1-25 (pdf, doi).
H. Attouch, M. Marques Alves and B.F. Svaiter.
A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity O(1/n^2),
Journal of Convex Analysis, v. 23, p. 139-180 (pdf).
F.S.V. Bazán, L. Bedin and F. Bozzoli.
Numerical estimation of convective heat transfer coefficient through linearization,
Int. J. Heat and Mass Transfer, p. 1230-1244 (doi).
F.S.V. Bazán, A. Kleefeld, K.H. Leem, and G. Pelekanos.
Sampling method based projection approach for the reconstruction of 3D acoustical penetrable scatters,
Lin. Alg. Appl., v. 495, p. 289-323 (doi).
S.J.L. Billinge, P.M. Duxbury, D.S. Gonçalves, C. Lavor and A. Mucherino.
Assigned and unassigned distance geometry: applications to biological molecules and nanostructures,
4OR – A Quarterly Journal of Operations Research, 14(4), 337-376, 2016 (pdf).
O. Bueno, Y. Garcia and M. Marques Alves.
Lower limits of type (D) monotone operators in general Banach spaces,
Journal of Convex Analysis, v. 23, p. 333-345 (doi).
D.S. Gonçalves and S.A. Santos.
A globally convergent method for nonlinear least-squares problems based on the Gauss-Newton model with spectral correction,
Bulletin of Computational Applied Mathematics, v.4(2) 2016 (pdf).
D.S. Gonçalves and S.A. Santos.
Local analysis of a spectral correction for the Gauss-Newton model applied to quadratic residual problems,
Numerical Algorithms, v. 73, p. 407-431, 2016 (pdf).
D.S. Gonçalves and A. Mucherino.
Optimal partial discretization orders for discretizable distance geometry,
International Transactions in Operational Research, v. 23, p. 947-967, 2016 (pdf).
D.S. Gonçalves, M.A. Gomes-Ruggiero and C. Lavor.
A projected gradient method for optimization over density matrices,
Optimization Methods and Software, v. 31, p. 328-341, 2016 (pdf).
A. Leitão and B. Svaiter.
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations,
Inverse Problems, v. 32, p. 025004 (doi).
M. Marques Alves and B.F. Svaiter.
A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods,
Mathematical Programming, v. 155, p. 613-616 (doi).
M. Marques Alves and B.F. Svaiter.
A Variant of the Hybrid Proximal Extragradient Method for Solving Strongly Monotone Inclusions and its Complexity Analysis,
Journal of Optimization Theory and Applications, v. 168, p. 198-215 (doi).
2015
V. Albani and J.P. Zubelli.
Structured Models for Cell Populations: Direct and Inverse Problems,
in Proceedings of Multi-scale and hybrid modelling in cell Biology (pdf, doi)
F.S.V. Bazán, J.B. Francisco, K.H. Leem, and G. Pelekanos.
Using the linear sampling method and an improved maximum product criterion for the solution of the electromagnetic inverse medium problem,
Journal of Computational and Applied Mathematics, v. 273, p. 61-75, 2015 (pdf).
I. Bleyer and A. Leitão.
Novel regularization methods for ill-posed problems in Hilbert and Banach spaces,
1. ed. Rio de Janeiro: IMPA Mathematical Publications, 2015. v. 1.
x+121p (doi)
R. Hora and A. Barreto.
Inverse scattering with partial data on asymptotically
hyperbolic manifolds,
ANAL PDE, v. 8, p. 513-559 (doi).
2014
V. Albani and J.P. Zubelli.
Online Local volatility Calibration by Convex Regularization,
Appl. Anal. Discrete Math., v. 8(2), p. 243-268 (pdf,doi).
F.S.V. Bazán.
Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems,
Journal of Scientific Computing,2014 (pdf).
L. Bedin and F.S. Viloche Bazán.
On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach,
Applied Mathematics and Computation, v. 236, p. 422-436, 2014.
L.S. Borges, F.S. Viloche Bazán and M.C. Cunha.
Automatic stopping rule for iterative methods in discrete ill-posed problems,
Comp. Appl. Math., 2014 (pdf).
F. Bozzoli, L. Catani, S. Rainieri, F.S.V. Bazán and and L.S. Borges.
Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularisation method,
International Journal of Heat and Mass Transfer, v. 72, p. 352-361, 2014 (pdf).
D.S. Gonçalves, M.A. Gomes-Ruggiero and C. Lavor.
Global convergence of diluted iterations in Maximum-Likelihood Quantum Tomography
Quantum Information & Computation, v. 14, p. 0966-0980, 2014 (pdf).
D.S. Gonçalves and A. Mucherino.
Discretization orders and efficient computation of cartesian coordinates for distance geometry,
Optimization Letters, v. 8, p. 2111-2125, 2014 (pdf).
D.S. Gonçalves and A. Mucherino and C. Lavor.
An adaptive branching scheme for the Branch & Prune algorithm applied to Distance Geometry,
In Proceedings of 2014 Federated Conference on Computer Science and Information Systems, v. 2. p. 457-469 (doi).
S. Kindermann and A. Leitão.
Convergence rates for Kaczmarz-type regularization methods,
Inverse Problems and Imaging, v. 8, p. 149-172 (doi).
F. Margotti, A. Rieder and A. Leitão.
A Kaczmarz Version of the REGINN-Landweber Iteration for
Ill-Posed Problems in Banach Spaces,
SIAM Journal on Numerical Analysis, v. 52, p.
1439-1465 (doi).
F. Margotti and A. Rieder.
An inexact Newton regularization in Banach spaces based on the nonstationary iterated Tikhonov method,
Journal of Inverse and Ill-Posed Problems, v. 23, p.
373-392 (doi).
M. Marques Alves and J.G. Melo.
Strong Convergence in Hilbert Spaces via \Gamma-Duality,
Journal of Optimization Theory and Applications, v.
158, p. 343-362 (doi).
2013
F.S.V. Bazán, M.C. Cunha and L.S. Borges.
Extension of GKB-FP algorithm to large-scale general-form Tikhonov regularization,
Numerical Linear Alg. With Appl., 2013 (pdf)
A. De Cezaro, A Leitão and X-C Tai.
On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems,
Inverse Problems, v. 29, p. 015003 (doi).
D.S. Gonçalves, C. Lavor, M.A. Gomes-Ruggiero, A.T. Cesário, R.O. Vianna and T.O. Maciel.
Quantum state tomography with incomplete data: Maximum entropy and variational quantum tomography,
Physical Review. A, v. 87, p. 052140, 2013 (pdf).
D.S. Gonçalves, A. Mucherino and C. Lavor.
Energy-based Pruning Devices for the BP Algorithm applied to Distance Geometry,
in proceedings of Federated Conference on Computer Science and Information Systems (FedCSis), v. 1. p. 341-346 (doi).
2012
F.S.V. Bazán, J.B. Francisco, K.H. Leem and G. Pelekanos.
Maximum product criterion as a Tikhonov choice-rule for Kirsch’s factorization sampling method,
J. Comp. and Appl. Math., v. 236, p. 4264-4275, 2012 (pdf)
F.S.V. Bazán, L.S. Borges and J.B. Francisco.
On a generlization of Regińska’s parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization,
Applied Mathematics and Computation, v. 219(4), p. 2100-2113 2012 (pdf)
A. De Cezaro and A. Leitão.
Level-set approaches of L2 type for recovering shape and
contrast in ill-posed problems,
Inverse Problems in Science and Engineering, v. 20,
p. 571-587 (doi).
A. De Cezaro and A. Leitão.
Level-set approaches of L2 type for recovering shape and contrast in ill-posed problems,
Inverse Problems in Science and Engineering, v. 21,
p. 1-2 (doi).
J.B. Francisco and F. S. Viloche Bazán.Nonmonotone algorithm for minimization on closed sets with application to minimization on Stiefel manifolds,
J. Comp. and Appl. Math., v. 236(10), p. 2717-2727, 2012 (pdf)
D.S. Gonçalves, M.A. Gomes-Ruggiero, C. Lavor, O. J. Farias and P.H.S. Ribeiro.
Local solutions of maximum likelihood estimation in quantum state tomography,
Quantum Information & Computation, v. 12, p. 775-790, 2012 (pdf).
A. Leitão and M. Marques Alves.
On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces,
Inverse Problems, v. 28, p. 104008 (doi).
M. Marques Alves and B.F. Svaiter.
A new qualification condition for the maximality of the sum of maximal monotone operators in general Banach spaces,
Journal of Convex Analysis, v. 19, p. 575-589 (pdf).
2011
A. De Cezaro, J. Baumeister and A. Leitão.
Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations,
Inverse Problems and Imaging, v. 5, p. 1-17 (doi).
M. Marques Alves and B.F. Svaiter.
On the surjectivity properties of perturbations of maximal monotone operators in non-reflexive Banach spaces,
Journal of Convex Analysis, v. 18, p. 209-226 (pdf).
M. Marques Alves and B.F. Svaiter.
Fixed points of generalized conjugations,
Journal of Convex Analysis, v. 18, p. 577-588 (pdf).
M. Marques Alves and B.F. Svaiter.
Moreau Yosida Regularization of Maximal Monotone Operators of Type (D),
SET-VALUED VAR ANAL, v. 19, p. 97-106 (doi).
M.V.W. Zibetti, F.S.V. Bazán and J. Mayer.
Estimation of the parameters in regularized simultaneous super-resolution,
Pattern Recognition Letters, v. 32, p. 69-78, 2011 (doi).
2010
J. Baumeister, B. Kaltenbacher and A. Leitão.
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations,
Inverse Problems and Imaging, v. 4, p. 335-350 (doi).
F.S.V. Bazán and L.S. Borges.
GKB-FP:an algorithm for large-scale discrete ill-posed problems.,
BIT Numerical Mathematics, v. 10(3), p. 481–507 (pdf).
F.S.V. Bazán.
Chebyshev pseudospectral method for wave equation eith absorbing boundary conditions that does not use a first order hyberbolic system,
Mathematics and Computers in Simulation, v. 80, p. 2124-2133 (pdf).
F.S.V. Bazán, K.H. Leem and G. Pelekanos.
Fixed-point iterations in determining a Tikhonov regularization parameter in Kirsch’s factorization metho,
Applied Mathematics and Computation, v. 216, p. 3747-3753 (pdf).
F.S.V. Bazán, K.H. Leem and G. Pelekanos.
An Application of a Fixed Point Iteration Method to Object Reconstruction,
PIERS Online, v. 6, p. 227-231 (pdf).
J. Oliveira and F.S.V. Bazán.
Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions,
Applied Mathematics and Computation, v. 209, p. 273-284 (doi).
K. Doel, U.M. Ascher and A. Leitão.
Multiple Level Sets for Piecewise Constant Surface Reconstruction in Highly Ill-Posed Problems,
Journal of Scientific Computing, v. 43, p. 44-66 (doi).
A. Leitão and M. Marques Alves.
Multiple level-sets for elliptic Cauchy problems in three dimensional domains,
Journal of Physics, v. 255, p. 012005 (doi).
M. Marques Alves and B.F. Svaiter.
Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces,
Journal of Convex Analysis, v. 17, p. 553-563 (pdf).
M. Marques Alves and B.F. Svaiter.
On Gossez type (D) maximal monotone operators,
Journal of Convex Analysis, v. 17, p. 1077-1088 (pdf).
2009
F.S.V. Bazán and J.B. Francisco.
An improved fixed-point algorithm for determining a Tikhonov regularization parameter.
Inverse Problems, v. 25, p. 045007, 2009 (pdf)
A. De Cezaro, A. Leitão and X-C Tai.
On multiple level-set regularization methods for inverse problems,
Inverse Problems, v. 25, p. 035004 (doi).
A. De Cezaro, A. Leitão and X-C Tai.
On level-set type methods for recovering piecewise constant solutions of ill-posed problems,
Lecture Notes in Computer Science, v. 5567, p. 50-62 (doi).
I. Bleyer and A. Leitão.
On Tikhonov functionals penalized by Bregman distances,
Cubo (Temuco), v. 11, p. 99-115 (pdf).
H. Egger and A. Leitão.
Nonlinear regularization methods for ill-posed problems with piecewise constant or strongly varying solutions,
Inverse Problems, v. 25, p. 115014 (doi).
H. Egger and A Leitão.
Efficient reconstruction methods for nonlinear elliptic Cauchy problems with piecewise constant solutions,
Advances in Applied Mathematics and Mechanics, v. 1,p. 729-749 (doi).
D.S. Gonçalves and M.A. Gomes-Ruggiero.
Técnicas Intervalares em Otimização Global,
In proceeding of XXXII CNMAC, v. 2. p. 901-907.
M. Haltmeier, A. Leitão and E. Resmerita.
On regularization methods of EM-Kaczmarz type,
Inverse Problems, v. 25, p. 075008 (doi).
M. Marques Alves and B.F. Svaiter.
A new old class of maximal monotone operators,
Journal of Convex Analysis, v. 16, p. 881-890 (pdf).
M. Marques Alves and B.F. Svaiter.
Maximal monotone operators with a unique extension to the bidual,
Journal of Convex Analysis, v. 16, p. 409-421 (doi).
2008
S. Anzengruber, F. Bauer, A. Leitão and R. Ramlau.
New algorithms for parallel MRI,
Journal of Physics, v. 135, p. 012009 (doi).
J. Baumeister and A. Leitão.
Introdução à Teoria de Controle e Programação Dinâmica,
Rio de Janeiro: IMPA Mathematical Publications, Euclides Project, 2008.v. 1. xiv+399p.
F.S.V. Bazán.
Fixed-Point iterations in determining the Tikhonov regularization parameter,
Inverse Problems, v. 24, p. 035001, 2008. (pdf).
F.S.V. Bazán.
Chebyshev Pseudospectral Method for Computing Numerical Solution of Convection-diffusion equation,
Appl. Math. Comput., v. 200, p. 537-546, 2008 (pdf).
A. De Cezaro, M. Haltmeier, A. Leitão and O. Scherzer.
On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear Ill-posed equations,
Applied Mathematics and Computation, v. 202, p. 596-607 (doi).
A. Leitão and J.P. Zubelli.
Iterative regularization methods for a discrete inverse problem in MRI,
Cubo (Temuco), v. 10, p. 137-146 (pdf).
M. Marques Alves and B.F. Svaiter.
Brondsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces,
Journal of Convex Analysis, v. 15, p. 693-706 (pdf).
M. Marques Alves and B.F. Svaiter.
A new proof for maximal monotonicity of subdifferential operators,
Journal of Convex Analysis, v. 15, p. 345-348 (pdf).
W. Muniz.
Imaging Buried Objects from Electromagnetic Data,
In Proceedings of International Conference on Engineering
Optimization (EngOpt 2008), Rio de Janeiro, Brazil.
M.V.W. Zibetti, F.S.V. Bazán and J. Mayer.
Determining the regularization parameters for super-resolution problems,
Signal Processing, v. 88, p. 2890-1901, 2008 (pdf).
2007
V. Albani, A.S. Iribarrem, M.B. Ribeiro and W.R. Stoeger.
Differential Density Statistics of the Galaxy Distribution and the Luminosity Function,
The Astrophysical Journal, v. 657, p. 760-772 (pdf, doi).
J. Baumeister, A. Leitão and G.N. Silva.
On the value function for nonautonomous problems with infinite horizon,
Systems and Control Letters, v. 56, p. 188-196 (doi).
M. Haltmeier, A. Leitão and O. Scherzer.
Kaczmarz methods for regularizing nonlinear ill-posed equations: I. Convergence analysis,
Inverse Problems and Imaging, v. 1, p. 289-298 (pdf).
M. Haltmeier, R. Kowar, A. Leitão and O. Scherzer.
Kaczmarz methods for regularizing nonlinear ill-posed equations: II. Applications,
Inverse Problems and Imaging, v. 1, p. 507-523 (pdf).
S. Kindermann and A. Leitão.
On regularization methods based on dynamic programming techniques,
Applicable Analysis, v. 86, p. 611-632 (doi).
S. Kindermann and A. Leitão.
Regularization by dynamic programming,
Journal of Inverse and Ill-Posed Problems, v. 15, p.
295-310 (doi).
A. Leitão and M. Marques Alves.
On level set type methods for elliptic Cauchy problems,
Inverse Problems, v. 23, p. 2207-2222 (doi).
A. Leitão, P.A. Markowich and J.P. Zubelli.
Inverse Problems for Semiconductors: Models and Methods,
In: C.Cercignani; E.Gabetta. (Org.). Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems, Birkhauser, v. 1, p. 117-149 (pdf).
2006
F.S.V. Bazán and S. Gratton.
An explicit Jordan Decomposition of Companion Matrices,
TEMA, v. 7(2) (2006),p. 209-218, (pdf).
S. Kindermann and A. Leitão.
On regularization methods for inverse problems of dynamic type,
Numerical Functional Analysis and Optimization, v. 27, n.2, p. 139-160 (doi).
A. Leitão, P.A. Markowich and J.P. Zubelli.
On inverse doping profile problems for the stationary voltage-current map,
Inverse Problems, v. 22, n.3, p. 1071-1088 (doi).
A. Leitão and O. Scherzer.
Corrigendum: On the relation between constraint regularization, level sets and shape optimization Inverse Problems 19 L1-L11,
Inverse Problems, v. 22, p. 1507 (doi).
A. Leitão.
Semiconductors and Dirichlet-to-Neumann maps,
Computational & Applied Mathematics, v. 25, p. 187-203 (doi).
M. Ainsworth, P. Monk and W. Muniz.
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation,
Journal of Scientific Computing, v. 27, p. 5-40 (doi).
B. Gebauer, M Hanke, A. Kirsch, W.B. Muniz and C. Schneider.
A sampling method for detecting buried objects using electromagnetic scattering
In Proceedings of The 9th Workshop on Optimization and Inverse Problems in Electromagnetics (OIPE 2006), Sorrento,
Italy. p. 41-42.
W.B. Muniz and A. Kirsch.
Reconstruction of buried obstacles with sampling methods,
In Proceedings of 18th International Workshop on Electromagnetic Induction in the Earth, El Vendrell, Spain. v. 3. p. 48-51.
2005
J. Baumeister and A. Leitão.
Topics in Inverse Problems,
Rio de Janeiro: IMPA Mathematical Publications, 25th Brazilian
Mathematics Colloquium, 2005. v. 1. viii+193p.
F.S.V. Bazán.
Matrix polynomials with partially prescribed eigenstrucutre: Eigenvalue sensitivity and condition estimation,
J. Comp. Appl. Math, v. 24(3), p. 1-28 (pdf).
B. Gebauer, M Hanke, A. Kirsch, W.B. Muniz and C. Schneider.
A sampling method for detecting buried objects using electromagnetic scattering,
Inverse Problems, v. 21, p. 2035-2050 (doi).
F. Fruehauf, A. Leitão and O. Scherzer.
Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators,
SIAM Journal on Numerical Analysis, v. 43(2), p. 767-786 (doi).
W. Muniz.
A modified linear sampling method valid for all frequencies and an application to the inverse inhomogeneous medium problem,
Proceedings in Applied Mathematics and Mechanics, v. 5, p. 689-690 (doi).
2004
F.S.V. Bazán and C. Cunha.
Solving damped wave equations with the method of lines and quadratic matrix eigenvalues,
Far East J. Appl. Math. 17(1), 105-120.
F.S.V. Bazán.
Eigensystem realization algorithm: Reformulation and system pole perturbation analysis,
J. Sound and Vibration v. 274, p. 433-444 (pdf).
M. Burger, H.W. Engl, A. Leitão and P.A. Markowich.
On inverse problems for semiconductor equations,
Milan Journal of Mathematics, v. 72, p. 273-313 (doi).
J. Baumeister and A. Leitão.
Optimal exploitation of renewable resource stocks: Necessary conditions,
Optimal Control Applications & Methods, v. 25(1), p. 19-50 (doi).
2003
F.S.V. Bazán.
Error analysis of signal zeros: a projected companion matrix approach,
Lin. Alg. Appl., v. 369, p. 153-167 (pdf).
F.S.V. Bazán.
CGLS-GCV: a hybrid algorithm for solving low-rank-deficient problems,
Appl. Num. Math., v. 47, p. 91-108 (pdf).
F.S.V. Bazán.
Eigenvalues of Matrix Polynomials, Sensitivity, Computation and Applications (in Portuguese),
Edited by IMPA, Rio de Janeiro – Brazil, July 2003. ISBN: 85-244-0206-7, 167 pag. Short course prepared for the XXIV Coloquio de Matemática, IMPA July 2003 (pdf)
E. Kraemer and F.S.V. Bazán.
Some measures of non normality of matrices (in Portuguese),
TEMA, v. 4(1), p. 61-70.
A. Leitão and O. Scherzer.
On the relation between constraint regularization, level sets, and shape optimization,
Inverse Problems, v. 19, p. L1-L11 (doi).
P. Kuegler and A. Leitão.
Mean value iterations for nonlinear elliptic Cauchy problems,
Numerische Mathematik, v. 96, n.2, p. 269-293 (doi).
2002
A. Leitão.
Mean value methods for solving the heat equation backwards in time,
Matemática Contemporânea, v. 23, p. 35-47, 2002 (pdf).
2001
F.S.V. Bazán and L.H. Bezerra.
Métodos de decomposição parcial do espectro de uma matriz,
Monografia de Minicurso presentado no XXIV CNMAC, Setembro 2001, Belo Horizonte MG, Brasil (com ). Editado pela SBMAC, Belo Horizonte 2001, 43 pag.
J. Baumeister and A. Leitão.
On iterative methods for solving ill-posed problems modeled by partial differential equations,
Journal of Inverse and Ill-Posed Problems, v. 9, n.1, p. 13-29 (doi).
F.S.V. Bazán and Ph. L. Toint.
Singular value analysis of predictor matrices,
Mechanical Systems and Signal Processing, v. 15(4), p. 667-683.
F.S.V. Bazán and Ph.L. Toint.
Error analysis of signal zeros from a related companion matrix eigenvalue problem,
Appl. Math Letters, v. 14, pp. 859-866.
H.W. Engl and A. Leitão.
A Mann iterative regularization method for elliptic Cauchy problems,
Numerical Functional Analysis and Optimization, v. 22, n.7-8, p. 861-884 (doi).
A. Leitão.
Cálculo Variacional e Controle Ótimo,
Rio de Janeiro: IMPA Mathematical Publications, 23rd Brazilian Mathematics Colloquium, 2001. v. 1. ii+111p.
F.M. Ramos, and H.F.C. Velho, W.B. Muniz and J.C. Carvalho.
Temperature Reconstruction Using an Entropy-based Regularization Method,
In:G. De Vahl Davis, E. Leonardi. (Org.). Advances in Computational Heat Transfer II. New York: Begell House, v. 1, p. 485-491.
2000
F.S.V. Bazán.
Conditioning of rectangular Vandermonde matrices with nodes in the unit disk,
SIAM J. Mat. Anal. Appl., v. 21(2) p. 679-693 (pdf).
F.S.V. Bazán and Ph. L. Toint.
Conditioning of infinite Hankel matrices of finite rank,
Systems and Control Letters, v. 41, p. 347-359 (pdf).
F.S.V. Bazán.
Sensitivity eigenanalysis for single shift-invariant subspace-based methods,
Signal Processing, v. 80, p. 89-100 (pdf).
F.S.V. Bazán and M.I. Cardoso.
Álgebra Linear Computacional e Problemas de posto incompleto, Monografia de Minicurso presentado no XXIII CNMAC, Setembro 2000, Santos-SP, Brasil. Editado pela SBMAC, Santos 2000. 86 pag.
M.I. Cardoso and F. S. V. Bazán.
Fast signal subspace computation in solving rank-deficient problems (in Portuguese),
TEMA, v. 1(1), p. 29-44 (pdf).
F.S.V. Bazán.
Sensitivity eigenvalue analysis in recovering exponential data (in Portuguese),
TEMA, v. 1(2), p. 289-302.
A. Leitão.
On optimal control problems with infinite horizon,
In Proceedings of ICONNE 2000, 2002, Nonlinear dynamics, chaos, control, and their applications to engineering sciences, Assoc. Brasileira de Ciencias Mecanicas, v. 4. p. 251-263.
A. Leitão, J. Baumeister and G.N. Silva.
Optimal control problems with infinite horizon whose control laws contain measures I: maximum principle,
In Proceedings of ICONNE 2000, 2002, Campos do Jordão. Nonlinear dynamics, chaos, control, and their applications to engineering sciences, Assoc. Brasileira de Ciencias Mecanicas, v. 4. p. 228-250.
A. Leitão.
An iterative method for solving elliptic Cauchy problems,
Numerical Functional Analysis and Optimization, v.
21, n.5-6, p. 715-742, 2000 (doi).
A Leitão.
On inverse problems modeled by PDE’s,
Matemática Contemporânea, v. 18, p. 195-207.
W.B. Muniz, F.M. Ramos, and H.F.C. Velho.
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