Publications and Preprints

  1. An inertial iteratively regularized extragradient method for bilevel variational inequality problems, arXiv Preprint (with K. Chen and E. H. Fukuda).
  2. An inexact inertial projective splitting algorithm with strong convergence, arXiv Preprint (with J. E. Navarro Caballero and R. T. Marcavillaca).
  3. 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).
  4. 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).
  5. A relative-error inexact ADMM splitting algorithm for convex optimization with inertial effects, Commun. Optim. Theory, to appear (with M. Geremia).
  6. Projective splitting with backward, half-forward and proximal-Newton steps, J. Convex Anal. 32 (2025), no. 4, 1199-1226.
  7. 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.
  8. 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).
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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).
  23. 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 ).
  24. 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.
  25. 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).
  26. 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.
  27. 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.
  28. 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).
  29. Fixed points of generalized conjugations, J. Convex Anal. 18 (2011), no. 2, 577-588 (with B.F.Svaiter).
  30. 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).
  31. Moreau-Yosida regularization of maximal monotone operators of type (D), Set-Valued Var. Anal. 19 (2011), no. 1, 97-106 (with B.F.Svaiter).
  32. Multiple level-sets for elliptic Cauchy problems in three dimensional domains, J. Phys. Conf. Ser. 255 (2010), 012005 (with A. Leitão).
  33. On Gossez type (D) maximal monotone operators, J. Convex Anal. 17 (2010), no. 3 & 4, 1077-1088 (with B.F. Svaiter).
  34. 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).
  35. A new old class of maximal monotone operators, J. Convex Anal. 16 (2009), no. 4, 881-890 (with B.F.Svaiter).
  36. Maximal monotone operators with a unique extension to the bidual, J. Convex Anal. 16 (2009), no. 2, 409-421 (with B.F.Svaiter).
  37. On convex representations of maximal monotone operators in non-reflexive Banach spaces, Ph.D. Dissertation, IMPA preprint server C 80/2009, February 2009.
  38. 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).
  39. A new proof for maximal monotonicity of subdifferential operators, J. Convex Anal. 15 (2008), no. 2, 435-438 (with B.F.Svaiter).
  40. On level set type methods for elliptic Cauchy problems, Inverse Probl. 23 (2007), no. 5, 2207-2222 (with A. Leitão)