Publications and Preprints
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An inertial iteratively regularized extragradient method for bilevel variational inequality problems, arXiv Preprint (with K. Chen and E. H. Fukuda).
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An inexact inertial projective splitting algorithm with strong
convergence, arXiv Preprint (with J. E. Navarro Caballero and R. T. Marcavillaca).
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A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods,
arXiv Preprint (with D. A. Lorenz and E. Naldi).
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A strongly convergent inertial inexact proximal-point algorithm for monotone inclusions with applications to variational inequalities,
arXiv Preprint (with J. E. Navarro Caballero and R. T. Marcavillaca).
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A relative-error inexact ADMM splitting algorithm for convex optimization with inertial effects,
Commun. Optim. Theory, to appear (with M. Geremia).
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Projective splitting with backward, half-forward and proximal-Newton steps,
J. Convex Anal. 32 (2025), no. 4, 1199-1226.
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A search-free O(1/k3/2) homotopy inexact proximal-Newton extragradient algorithm for monotone variational inequalities,
SIAM J. Optim. 34 (2024), no. 4, 3194-3370 (with J. M. Pereira and B. F. Svaiter),
doi: 10.1137/23M1593000.
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A relative-error inertial-relaxed inexact projective
splitting algorithm, J. Convex Anal. 31 (2024), no. 1, 01-24 (with M. Geremia and R. T. Marcavillaca).
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Variants of
the A-HPE and large-step A-HPE algorithms for strongly convex problems with applications
to accelerated high-order tensor methods, Optim. Methods Softw. 37 (2022), no. 6, 2007-2037.
doi :
10.1080/10556788.2021.2022148.
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Another proof and a generalization of a theorem of H. H. Bauschke on monotone
operators, Optimization 71 (2022), no. 1, 91-96.
doi :
10.1080/02331934.2020.1858833.
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Relative-error inertial-relaxed inexact versions of
Douglas-Rachford and ADMM splitting algorithms, Comput. Optim. Appl. 75 (2020), 389-422 (with J. Eckstein, M. Geremia and J.G. Melo). doi : 10.1007/s10589-019-00165-y.
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On inexact relative-error hybrid proximal extragradient,
forward-backward and Tseng's modified forward-backward methods with inertial effects,
Set-Valued Var. Anal. 28 (2020), 301-325 (with R. T. Marcavillaca).
doi : 10.1007/s11228-019-00510-7.
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On the convergence rate of the scaled proximal decomposition on
the graph of a maximal monotone operator (SPDG) algorithm,
Optimization 69 (2020), 2371-2381 (with S. C. Lima).
doi : 10.1080/02331934.2018.1476860.
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Iteration complexity of an inexact Douglas-Rachford method and of a
Douglas-Rachford-Tseng's F-B four-operator splitting method for solving monotone inclusions,
Numer. Algorithms 82 (2019), 263-295 (with M. Geremia).
doi : 10.1007/s11075-018-0604-1.
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Iteration-complexity of a Rockafellar's proximal
method of multipliers for convex programming based on second-order approximations,
Optimization 68 (2019), 1521-1550 (with R.D.C.Monteiro and B.F.Svaiter).
doi : 10.1080/02331934.2019.1597357.
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Pointwise and ergodic convergence rates of a
variable metric proximal ADMM,
J. Optim. Theory Appl. 177 (2018), no. 2, 448-478
(with M.L.N. Goncalves and J. G. Melo).
doi : 10.1007/s10957-018-1232-6.
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A proximal-Newton method for unconstrained convex
optimization in Hilbert spaces, Optimization 67 (2018), no. 1, 67-82 (with B. F. Svaiter).
doi : 10.1080/02331934.2017.1389942.
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An inexact Spingarn's partial inverse method with applications to
operator splitting and composite optimization,
J. Optim. Theory Appl. 175 (2017), no. 3, 818-847
(with S. C. Lima).
doi : 10.1007/s10957-017-1188-y.
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On the identification of piecewise
constant coefficients in optical diffusion tomography by level set,
ESAIM: COCV 23 (2017) 663-683 (with J.P. Agnelli, A. De Cezaro and A. Leitão).
doi : 10.1051/cocv/2016007.
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Regularized HPE-type methods for solving monotone inclusions
with improved pointwise iteration-complexity bounds,
SIAM J. Optim. 26 (2016), no. 4, 2730-2743
(with R.D.C.Monteiro and B.F.Svaiter).
doi : 10.1137/15M1038566.
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A variant of the hybrid proximal extragradient method for
solving strongly monotone inclusions and its complexity analysis,
J. Optim. Theory Appl. 168 (2016), no. 1, 198-215
(with B.F.Svaiter). doi : 10.1007/s10957-015-0792-y.
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A dynamic approach to a proximal-Newton method for
monotone inclusions in Hilbert spaces, with complexity O(1/n2),
J. Convex Anal. 23 (2016), no. 1, 139-180
(with H. Attouch and B.F.Svaiter).
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Lower limits of type (D) monotone operators in general
Banach spaces, J. Convex Anal. 23 (2016), no. 2, 333-345
(with O. Bueno and Y. Garcia ).
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A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods,
Math. Program. (2016), no. 1, 613-616 (with B.F.Svaiter).
doi : 10.1007/s10107-014-0849-y.
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Primal-dual regularized SQP and SQCQP type methods for convex programming and their complexity analysis,
unpublished manuscript,
April 2014 (with R.D.C.Monteiro and B.F.Svaiter).
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Strong convergence in Hilbert spaces via \Gamma-duality,
J. Optim. Theory Appl. 158 (2013), no. 2, 343-362 (with J.G. Melo).
doi : 10.1007/s10957-012-0253-9.
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On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in
Banach spaces,
Inverse Probl. 28 (2012), 104008 (with A. Leitão).doi :
10.1088/0266-5611/28/10/104008.
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A new qualification condition for the
maximality of the sum of maximal monotone operators in general Banach spaces,
J. Convex Anal. 19 (2012), no. 2, 575-589 (with B.F.Svaiter).
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Fixed points of generalized conjugations,
J. Convex Anal. 18 (2011), no. 2, 577-588 (with B.F.Svaiter).
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On the surjectiviy properties
of perturbations of maximal monotone operators in non-reflexive Banach spaces,
J. Convex Anal. 18 (2011),
no. 1, 209-226 (with B.F.Svaiter).
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Moreau-Yosida regularization of maximal
monotone operators of type (D),
Set-Valued Var. Anal. 19 (2011), no. 1, 97-106 (with B.F.Svaiter).
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Multiple level-sets for elliptic
Cauchy problems in three dimensional domains,
J. Phys. Conf. Ser. 255 (2010), 012005
(with A. Leitão).
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On Gossez type (D) maximal monotone operators,
J. Convex Anal. 17 (2010), no. 3 & 4, 1077-1088
(with B.F. Svaiter).
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Maximal monotonicity, conjugation and the
duality product in non-reflexive Banach spaces,
J. Convex Anal. 17 (2010), no. 2, 553-563
(with B.F.Svaiter).
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A new old class of
maximal monotone operators,
J. Convex Anal. 16 (2009), no. 4, 881-890 (with B.F.Svaiter).
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Maximal monotone operators
with a unique extension to the bidual,
J. Convex Anal. 16 (2009), no. 2, 409-421 (with B.F.Svaiter).
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On convex representations
of maximal monotone operators in non-reflexive Banach spaces, Ph.D. Dissertation, IMPA preprint server C 80/2009, February 2009.
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Brondsted-Rockafellar property and
maximality of monotone operators representable by convex functions in non-reflexive Banach spaces,
J. Convex Anal. 15 (2008), no. 4, 693-706
(with B.F.Svaiter).
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A new proof for maximal
monotonicity of subdifferential operators,
J. Convex Anal. 15 (2008), no. 2, 435-438
(with B.F.Svaiter).
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On level set type methods for elliptic
Cauchy problems,
Inverse Probl. 23 (2007), no. 5, 2207-2222 (with A. Leitão)