Maicon Marques Alves' home page

      Maicon Marques Alves


      Office:  Departamento de Matemática
                   Universidade Federal de Santa Catarina
                   Florianópolis, SC, Brasil
      Phone: +55 48 37213678
      E-mail: maicon.alves@ufsc.br


    Research interests.        

        Convex Optimization, Monotone Operators, Proximal Algorithms.

    Publications.        

  1. Pointwise and ergodic convergence rates of a variable metric proximal ADMM, submitted, January 2017 (with M.L.N. Goncalves and J. G. Melo).
  2. A proximal-Newton method for unconstrained convex optimization in Hilbert spaces, submitted, August 2016 (with B. F. Svaiter).
  3. An inexact Spingarn's partial inverse method with applications to operator splitting and composite optimization, submitted, August 2016; first revised, February 2017 (with S. Costa Lima).
  4. Iteration-complexity of a Rockafellar's proximal method of multipliers for convex programming based on second-order approximations, submitted, December 2015; revised, September 2016 (with R.D.C.Monteiro and B.F.Svaiter).
  5. Regularized HPE-type methods for solving monotone inclusions with improved pointwise iteration-complexity bounds, SIAM Journal on Optimization 26 (2016), no. 4, 2730-2743 (with R.D.C.Monteiro and B.F.Svaiter). doi : 10.1137/15M1038566.
  6. A variant of the hybrid proximal extragradient method for solving strongly monotone inclusions and its complexity analysis, Journal of Optimization Theory and Applications 168 (2016), no. 1, 198-215 (with B.F.Svaiter). doi : 10.1007/s10957-015-0792-y.
  7. On the identification of piecewise constant coefficients in optical diffusion tomography by level set, ESAIM: Control, Optimisation and Calculus of Variations 23 (2017) 663-683 (with J.P. Agnelli, A. De Cezaro and A. Leitão). doi : 10.1051/cocv/2016007.
  8. A dynamic approach to a proximal-Newton method for monotone inclusions in Hilbert spaces, with complexity O(1/n^2), Journal of Convex Analysis 23 (2016), no. 1, 139-180 (with H. Attouch and B.F.Svaiter).
  9. Lower limits of type (D) monotone operators in general Banach spaces, Journal of Convex Analysis 23 (2016), no. 2, 333-345 (with O. Bueno and Y. Garcia ).
  10. Primal-dual regularized SQP and SQCQP type methods for convex programming and their complexity analysis, submitted, April 2014 (with R.D.C.Monteiro and B.F.Svaiter).
  11. A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods, Mathematical Programming (2016), no. 1, 613-616 (with B.F.Svaiter). doi : 10.1007/s10107-014-0849-y.
  12. Strong convergence in Hilbert spaces via \Gamma-duality, Journal of Optimization Theory and Applications 158 (2013), no. 2, 343-362 (with J.G. Melo). doi : 10.1007/s10957-012-0253-9.
  13. On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces, Inverse Problems 28 (2012), 104008 (with A. Leitão). doi : 10.1088/0266-5611/28/10/104008.
  14. A new qualification condition for the maximality of the sum of maximal monotone operators in general Banach spaces, Journal of Convex Analysis 19 (2012), no. 2, 575-589 (with B.F.Svaiter).
  15. Fixed points of generalized conjugations, Journal of Convex Analysis 18 (2011), no. 2, 577-588 (with B.F.Svaiter).
  16. On the surjectiviy properties of perturbations of maximal monotone operators in non-reflexive Banach spaces, Journal of Convex Analysis 18 (2011), no. 1, 209-226 (with B.F.Svaiter).
  17. Moreau-Yosida regularization of maximal monotone operators of type (D), Set-Valued and Variational Analysis 19 (2011), no. 1, 97-106 (with B.F.Svaiter).
  18. Multiple level-sets for elliptic Cauchy problems in three dimensional domains, Journal of Physics: Conference Series 255 (2010), 012005 (with A. Leitão).
  19. On Gossez type (D) maximal monotone operators, Journal of Convex Analysis 17 (2010), no. 3 & 4, 1077-1088 (with B.F. Svaiter).
  20. Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces, Journal of Convex Analysis 17 (2010), no. 2, 553-563 (with B.F.Svaiter).
  21. A new old class of maximal monotone operators, Journal of Convex Analysis 16 (2009), no. 4, 881-890 (with B.F.Svaiter).
  22. Maximal monotone operators with a unique extension to the bidual, Journal of Convex Analysis 16 (2009), no. 2, 409-421 (with B.F.Svaiter).
  23. On convex representations of maximal monotone operators in non-reflexive Banach spaces, Ph.D. Dissertation, IMPA preprint server C 80/2009, February 2009.
  24. Brondsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces, Journal of Convex Analysis 15 (2008), no. 4, 693-706 (with B.F.Svaiter).
  25. A new proof for maximal monotonicity of subdifferential operators, Journal of Convex Analysis 15 (2008), no. 2, 435-438 (with B.F.Svaiter).
  26. On level set type methods for elliptic Cauchy problems, Inverse Problems 23 (2007), no. 5, 2207-2222 (with A. Leitão).

    Links.


Last updated: February, 2017
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