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Name Used in  Bibliographic Citations: J.Y. Bello Cruz & J.Y.B. Cruz & J.Y. Bello-Cruz & Yunier Bello-Cruz

Welcome to my Webpage. I am an Associate Professor: Numerical Analysis and Optimization and the AIC Director of the Ph.D. Program in the Department of Mathematical Sciences at Northern Illinois University (NIU), IL, USA. Prior to NIU, I was an Assistant Professor (with tenure) at the Institute of Mathematics and Statistics at the Federal University of Goias, BRAZIL. I worked for almost two years with Prof. Heinz H. Bauschke as a CNPq Postdoctoral Research Fellow in the Irving K. Barber School of Arts and Sciences, Mathematics at the University of British Columbia, CANADA. My Ph.D. in Mathematics was supervised by Prof. Alfredo N. Iusem at the Institute of Pure and Applied Mathematics (IMPA), Rio de Janeiro, BRAZIL. All my basic education, the five years Bachelor of Mathematics and the two years M.Sc. in Analysis, were coursed in the Faculty of Mathematics and Computer Science, University of Havana, CUBA.

My main research interest is in the area of Continuous Optimization, focusing on Nonsmooth and Convex Optimization, Variational Inequalities, Inclusion Problems, Algorithms, and Applications. I am interested in the design, complexity, and analysis of efficient algorithms for solving structured optimization problems arising in applications. My research is currently supported by the National Science Foundation (NSF) grant # DMS - 2307328 (2023 to 2026) and by the Research & Artistry Grant (R&A) and CLAS Summer Grant (2023) from NIU. I was awarded several research grants including: an NSF grant # DMS - 1816449 (2018 to 2021), USA, a UNIVERSAL CNPq grant, and a Productivity Research grant by CNPq # 303492/2013-9 (2013 to 2016), Brazil. For further details, please see my CV.

Professional Address:  Watson Hall 330, Department of Mathematical Sciences, Northern Illinois University. DeKalb, IL - 60115, USA. 

Phones: +1 8157536764 (Office Number) or  8159818002 (Online Number) 

Email: yunierbello at niu dot edu  or  yunier.bello at gmail dot com 

EXPERIENCE

• Associate Professor and AIC Director at Northern Illinois University, IL, USA

• Assistant Professor at Northern Illinois University, IL, USA (Tenure Track)

• Assistant Professor at Federal University of Goias, GO, Brazil  (with Tenure)

• Postdoctoral Research Fellow at University of British Columbia, BC, Canada 

• Assistant Professor at Federal University of Goias, GO, Brazil (Tenure Track)

• Teaching Assistant at Instituto de Matemática Pura e Aplicada, RJ, Brazil 

• Lecturer at University of Matanzas, MTZ, Cuba 

EDUCATION

• Ph.D. in Mathematics, Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, Brazil 

• M.Sc. in Mathematics, University of Havana, Havana, Cuba                                          

• B.Sc. in Mathematics, University of Havana, Havana, Cuba 

RESEARCH PROJECTS AND GRANTS, SCHOLARSHIPS AND AWARDS

• ($ 161,259.00) NSF Grant - DMS - 2307328.  Design and Analysis of Algorithms for Structured Optimization (06/2023 - 06/2026). USA.

• ($ 5,000.00) CLAS Summer Grant from Northern Illinois University (in favor of Ph.D. Students Cassandra Mohr). (05/2023 - 08/2023). USA.

• ($ 7,500.00) Research & Artistry Grant from Northern Illinois University. (05/2022 - 08/2023). USA.

• (Half-Year Salary) Sabbatical Leave (Ranked 1 of 19) form Northern Illinois University. (2021 - 2022). USA.

• ($ 99,143.00) NSF Grant - DMS - 1816449. Second-Order Variational Analysis in Structured Optimization and Algorithms with Applications (08/2018 - 09/2021). USA.

• ($ 9,000.00) Research & Artistry Grant from Northern Illinois University. (2019 - 2020). USA.

• ($ 8,000.00) Start-up Research Grant from Northern Illinois University. (2016 - 2017). USA.

• Travel Support by CAPES - International Symposium on Mathematical Programming, Pittsburgh, PA. (July 2015). USA.

• (R$ 36,000.00) Productivity Research Grant by CNPq - 303492/2013-9. Federal University of Goias. (2013 - 2016). Brazil.

• Travel Support by CNPq - Research Visit to Prof. T.T.A. Nghia, Oakland University, Rochester Hills,  MI. (3 weeks on July 2015). USA.

• (R$ 30,000.00) UNIVERSAL CNPq Grant (2013 - 2016). Brazil.

• Postdoctoral Scholarship sponsorship by CNPq at the University of British Columbia. Grant 202677/2013-3. (August 2013 - January 2015). Canada.

• MATHAMSUD. Variational Analysis and its applications to optimization, monotone operators, convex analysis, and Nash equilibrium problems. Sponsorship by CAPES/ Centre National de la Recherche Scientifique (CNRS). Federal University of Goiás. (2013 - 2014). Brazil.

• (R$ 125,000.00) Project CAPES/MES-CUBA. "Modelos de Otimização e Aplicações". Sponsorship by CAPES. Federal University of Goiás. (2012 - 2016). Brazil.

• Research Project PRONEX-CNPq/FAPERJ (26/2006 and 15/2009 - APQ1). "Núcleo de Excelencia em Teoria e Métodos de Otimização Contínua", Sponsorship by CNPq. (2007 - 2013). Brazil. 

• Grant funding by CAPES for a visiting professor at University of Havana. (November 2012 - December 2012). Cuba.

• Summer Postdoctoral Scholarship at Instituto de Matemática Pura e Aplicada. (Summer 2 months, 2011). Brazil.

• Research Project PROCAD-nf (21/2009) from CAPES. Análise, Geometria e Otimização UFG/UNB/IMPA, Federal University of Goiás. (2010 - 2013). Brazil.

• Summer Postdoctoral Scholarship at Instituto de Matemática Pura e Aplicada. (January 4 - February 26, 2010). Brazil.

• P.C.I. Postdoctoral Scholarship at IMPA. (October 1 - 24, 2009). Brazil.

• Travel Support by CONICYT for School on Variational Analysis at CMM, University of Chile. (November 6 - 19, 2008). Chile.

• Ph.D. Scholarship under the sponsorship of CNPq-TWAS at IMPA. (August 2006 - July 2009). Brazil.

• Travel Support by Mathematical Union for Latin America and the Caribbean (UMALCA) for participation in EMALCA, San Jose de Costa Rica. (February  13 to 19, 2005). Costa Rica.

• Travel Support by Centre International de Mathematiques Pures et Appliquees (CIMPA) for participation in EMALCA, Guanajuato. (August 1 to 12, 2005). Mexico.

PREPRINTS AND PUBLICATIONS IN REFEREED JOURNALS 

2024(6) - 2023(6) - 2022(4) - 2021(4) - 2020(1) - 2019(1) - 2018(2) - 2017(3) - 2016(7) - 2015(2) - 2014(6) - 2013(2) - 2012(1) - 2011(3) - 2010(3) - 2009(1)

• R. Behling, Y. Bello Cruz, A. Iusem, D. Liu, L.R. Santos. A finitely convergent circumcenter method for the convex feasibility problem.  SIAM Journal on Optimization. 34(3), 1--21 (2024). PDF

• Y. Bello Cruz, M.L.N. Gonçalves, J. Melo, C. Mohr. A Relative Inexact Proximal Gradient Method With an Explicit  Linesearch. arXiv:2404.10987, Submitted. 1--16 (2024). PDF

• Y. Bello Cruz, J. Melo, L.F. Prudente, R.V.G. Serra. A Proximal Gradient Method with an Explicit Line Search for Multiobjective Optimization. arXiv:2404.10993, Submitted. 1--20 (2024). PDF

• R. Behling, Y. Bello Cruz, A. Iusem, L.R. Santos. On the centralization of the circumcentered-reflection method.  Mathematical Programming. 205, 337--371 (2024). PDF  |  doi>

• Y. Bello Cruz, R. Quintero-Contreras. Analytical Study and Efficient Evaluation of the Josephus Function. Journal of Integer Sequences. 27(3), 24.3.8 (2024). PDF |  doi>

• R. Behling, Y. Bello Cruz, A. Iusem, D. Liu, L.R. Santos. A successive centralized circumcentered-reflection method for the convex feasibility problem.  Computational Optimization and Applications. 87, 83--116 (2024). PDF |  doi>

• N. Armijo, Y. Bello Cruz, G. Haeser. A semi-smooth Newton method for general projection equations applied to the nearest correlation matrix problem.  arXiv:2401.04657, Submitted. 1--16 (2024). PDF  

• Y. Bello Cruz, R. Quintero-Contreras. On the Recurrence Formula for Fixed Points of the Josephus Function.   arXiv:2310.12984, Submitted. 1--11 (2023). PDF

• N. Armijo, Y. Bello Cruz, G. Haeser. On the convergence of iterative schemes for solving a piecewise linear system of equations.  Linear Algebra and Its Applications. 665, 291--314 (2023). PDF  |  doi>

• Y. Bello Cruz, M.L.N. Gonçalves, N. Krislock. On FISTA with a relative error rule.  Computational Optimization and Applications. 84, 295--318 (2023).  PDF  |  doi>

• Y. Bello Cruz, O. Hazaimah. On the weak and strong convergence of modified forward-backward-half-forward methods.  Optimization Letters. 17, 789--810 (2023). PDF  |  doi>

• R. Behling, Y. Bello Cruz, H. Lara-Urdaneta, H. Oviedo, L.R. Santos. Circumcentric directions of cones.  Optimization Letters. 17, 1069--1081 (2023). PDF  |  doi>

• Y. Bello Cruz, G. Bouza Allende. On inexact projected gradient methods for solving variable vector optimization problems. Optimization and Engineering. 23(1), 201--232 (2022). PDF  |  doi>

• Y. Bello Cruz, G. Li, T.T.A. Nghia. Quadratic growth conditions and uniqueness of optimal solution to Lasso.  Journal of Optimization Theory and Application. 194, 167--190 (2022).  PDF  |  doi> 

• Y. Bello Cruz, J.G. Melo, R.V.G. Serra. A proximal gradient splitting method for solving convex vector optimization problems.  Optimization. 71(1), 33--53 (2022). PDF  |  doi>

• G. Araujo, R. Arefidamghani, R. Behling, Y. Bello Cruz, A. Iusem, L.R. Santos. Circumcentering approximate reflections for solving the convex feasibility problem.  Fixed Point Theory and Algorithms for Sciences and Engineering. 2022(1), 1--30 (2022). PDF  |  doi> 

• R. Behling, Y. Bello Cruz, L.R. Santos. Infeasibility and error bound imply finite convergence of alternating projections. SIAM Journal on Optimization. 31(4), 2863--2892 (2021).  PDF  | doi>

• R. Arefidamghani, R. Behling, Y. Bello Cruz, A. Iusem, L.R. Santos. The circumcentered-reflection method archives better rates than alternating projections. Computational Optimization and Applications. 79, 507--530 (2021).  PDF  |  doi>

• Y. Bello Cruz, G. Li, T.T.A. Nghia. On the linear convergence of forward-backward splitting method: Part I-Convergence analysis. Journal of Optimization Theory and Application. 188, 378--401 (2021).  PDF  |  doi>

• R. Behling, Y. Bello Cruz, L. R. Santos. On the circumcentered-reflection method for the convex feasibility problem. Numerical Algorithms. 86, 1475--1494 (2021).  PDF  |  doi>

• R. Behling, Y. Bello Cruz, L.R. Santos. The block-wise circumcentered-reflection method.  Computational Optimization and Applications. 76, 675--699 (2020).  PDF  |  doi>

• J.Y. Bello Cruz, R. Díaz Millán, H.M. Phan. Conditional extragradient algorithms for solving variational inequalities. Pacific Journal of Optimization. 15, 331--357 (2019).  PDF  |  doi>

• R. Behling, J.Y. Bello Cruz, L. R. Santos. On the linear convergence of the circumcentered-reflection method. Operations Research Letters. 46, 159--162 (2018).  PDF  |  doi>

• R. Behling, J.Y. Bello Cruz, L. R. Santos. Circumcentering the Douglas-Rachford method. Numerical Algorithms. 78, 759--776 (2018).  PDF  |  doi>

• J.Y. Bello Cruz. On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Set-Valued and Variational Analysis. 25, 245--263 (2017).  PDF  |  doi>

• J.Y. Bello Cruz, Y. Shehu. An Iterative method for split inclusion problems without prior knowledge of operator norms. Journal of Fixed Point Theory and Applications. 19, 2017--2036 (2017).  PDF  |  doi>

• J.Y. Bello Cruz, O.P. Ferreira, S.Z. Németh, L.F. Prudente.  A semi-smooth Newton method for projection equations and linear complementarity problems with respect to the second order cone. Linear Algebra and its Applications. 513, 160--181 (2017).  (MATLAB_codes).  PDF  |  doi>

• J.Y. Bello Cruz, T.T.A. Nghia.  On the convergence of the forward-backward splitting method with linesearches. Optimization Methods and Software. 31, 1209--1238 (2016).  PDF  |  doi>

• H.H. Bauschke, J.Y. Bello Cruz, T.T.A. Nghia, H.M. Phan, X. Wang. Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces. Numerical Algorithms. 73, 33--76 (2016).  PDF  |  doi>

• Y. Bello Cruz, O.P. Ferreira, L.F. Prudente. On the global convergence of the inexact semi-smooth Newton method for absolute value equation. Computational Optimization and Applications. 65, 93--108 (2016). (MATLAB_codes).  PDF  |  doi>

• J.Y. Bello Cruz, R. Díaz Millán.  A relaxed-projection splitting algorithm for variational inequalities in Hilbert spaces. Journal of Global Optimization. 65, 597--614 (2016).  PDF  |  doi>

• J.G. Barrios, J.Y. Bello Cruz, O.P. Ferreira, S.Z. Németh.  A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex programming.  Journal of Computational and Applied Mathematics. 301, 91--100 (2016). (MATLAB_codes).  PDF  |  doi>

• J.Y. Bello Cruz, W. de Oliveira. On weak and strong convergence of the projected gradient method for convex optimization in real Hilbert spaces.  Numerical Functional Analysis and Optimization. 37, 129--144 (2016).   PDF  |  doi>

• W.V. Ackooij,  J.Y. Bello Cruz, W. de Oliveira. A strongly convergent proximal bundle method for convex minimization in Hilbert spaces. Optimization.  65, 145--167 (2016).  (MATLAB_codes). PDF  |  doi>

• J.Y. Bello Cruz, A.N. Iusem. Full convergence of an approximate projection method for nonsmooth variational inequalities. Mathematics and Computers in Simulation.  114, 2--13 (2015). PDF  |  doi>

• J.Y. Bello Cruz, R. Díaz Millán. A variant of forward-backward splitting method for the sum of two monotone operators with a new search strategy. Optimization. 64, 1471--1486 (2015). PDF  |  doi>

• J.Y. Bello Cruz, G. Bouza Allende. A steepest descent-like method for variable order vector optimization problems. Journal of Optimization Theory and Applications. 162, 371--391 (2014). PDF  |  doi>

• J.Y. Bello Cruz, G. Bouza Allende, L.R. Lucambio Pérez. Subgradient algorithms for solving variable inequalities. Applied Mathematics and Computation. 247, 1052--1063 (2014). PDF  |  doi>

• H.H. Bauschke, J.Y. Bello Cruz, T.T.A. Nghia, H.M. Phan, X. Wang.  The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Journal of Approximation Theory.  185, 63--79 (2014). PDF  |  doi>

• J.Y. Bello Cruz, R. Díaz Millán. A direct splitting method for nonsmooth variational inequalities. Journal of Optimization Theory and Application. 161, 728--737 (2014). PDF  |  doi>

• J.Y. Bello Cruz, W. de Oliveira. Level bundle-like algorithms for convex optimization. Journal of Global Optimization. 59, 787--809 (2014).  (MATLAB_codes). .BIB  |  PDF  |  doi>

• J.Y. Bello Cruz, L.R. Lucambio Pérez. A subgradient-like algorithm for solving vector convex inequalities. Journal of Optimization Theory and Application.  162, 392--404 (2014).  PDF  |  doi>

• J.Y. Bello Cruz. A subgradient method for vector optimization problems. SIAM Journal on Optimization. 23, 2169--2182 (2013).  PDF  |  doi>

• J.Y. Bello Cruz, S. Scheimberg, P.S.M. Santos. A two-phase algorithm for a variational inequality formulation of equilibrium problems. Journal of Optimization Theory and Application. 159, 562--575 (2013). PDF  |  doi>

• J.Y. Bello Cruz, A.N. Iusem. An explicit algorithm for monotone variational inequalities. Optimization. 61, 855--871 (2012). PDF  |  doi>

• J.Y. Bello Cruz, L.R. Lucambio Pérez, J.G. Melo. Convergence of the projected gradient method for quasiconvex multiobjective optimization. Nonlinear Analysis. 74, 5268--5273 (2011).  PDF  |  doi>

• J.Y. Bello Cruz, A.N. Iusem. A strongly convergent method for nonsmooth convex minimization in Hilbert spaces. Numerical Functional Analysis and Optimization. 32, 1009--1018 (2011).  PDF  |  doi>

• J.Y. Bello Cruz, H. Pijeira Cabrera, C. Márquez, W. Urbina Romero. Sobolev-Gegenbauer type orthogonality and a hydrodynamical interpretation. Integral Transforms and Special Functions. 22, 711--722 (2011). PDF  |  doi>

• J.Y. Bello Cruz, H. Pijeira Cabrera, W. Urbina Romero. On polar Legendre polynomials. Rocky Mountain Journal of Mathematics. 40, 2025--2036 (2010). PDF  |  doi>

• J.Y. Bello Cruz, A.N. Iusem. Convergence of direct methods for paramonotone variational inequalities. Computational Optimization and Applications. 46, 247--263 (2010).  PDF  |  doi>

• J.Y. Bello Cruz,  L.R. Lucambio Pérez. Convergence of a projected gradient method variant for quasiconvex objectives. Nonlinear Analysis. 9, 2917--2922 (2010). PDF  |  doi>

• J.Y. Bello Cruz, A.N. Iusem. A strongly convergent direct method for monotone variational inequalities in Hilbert spaces. Numerical Functional Analysis and Optimization. 30, 23--36 (2009). PDF  |  doi>

• J.Y. Bello Cruz. Direct Methods for Monotone Variational Inequalities. Doctoral dissertation. PREPRINT IMPA C095 / 2009. 1--93 (2009). ( Advisor: Alfredo N. Iusem ).  PDF  

Research Interests: Calculus of variations and optimal control; Optimization; Fourier analysis; Operations research; Mathematical programming; Operator theory

GRADUATE STUDENTS AND SUPERVISIONS

• (2021 - ) (Ongoing) - Ph.D. Dissertation of Cassandra Mohr, "On the Linear Convergence of Accelerated Proximal Gradient Methods" Department of Mathematical Sciences (DMS), Northern Illinois University (NIU), USA. Currently:  Teaching Assistant Department of Mathematical Sciences, Northern Illinois University, USA

• (2020 - ) (Ongoing) - Ph.D. Dissertation of Nicolas F. Armijo, "Generalized Projection Equations and Complementarity Problems" Department of Applied Mathematics, University of Sao Paulo, Brazil. Currently: Teaching assistant at University of Sao Paulo, Brazil.

• (2018 - 2020) (Supervised) - Ph.D. Dissertation of Oday Hazaimah, "Projective Splitting Methods for Maximal Monotone Mappings in Hilbert Spaces" Department of Mathematical Sciences (DMS), Northern Illinois University (NIU), USA. Currently:  Adjunct Faculty at Department of Mathematics  and Statistics, Saint Louis University, USA

• (2015 - 2016) (Interrupted) - Ph.D. Dissertation Co-supervision of P.C. Silva Junior - Currently, Ph.D. Student at Institute of Mathematics and Statistics, Federal University of Goias, Brazil.

• (2012) (Supervised) - Postdoctoral Fellow Supervision of G. Bouza Allende - Currently: Assistant Professor at Faculty of Mathematics and Computation, University of Havana, Cuba.

• (2012 - 2015) (Supervised) - Ph.D. Dissertation of R. Diaz Millan, "On Several Algorithms for Variational Inequality and Inclusion Problems" - Postdoctoral Fellow Position at School of Mathematical Sciences, University of South Australia 2016 - 2017. Currently: Associate Research Fellow, School of Information Technology, Deakin University, Australia.

• (2012 - 2016) - More than 5 Master's Students supervisions at Institute of Mathematics and Statistics, Federal University of Goias; for further details (in Portuguese) see [a], [b], [c], [d], [e], etc., Brazil.

Co-authors and Collaborators from MathSciNet and Scopus

Ackooij, W.V. & Araujo, G. & Arefidamghani, R. & Armijo, N. & Barrios, J.G. & Bauschke, H.H. & Behling, R. & Bouza Allende, G. & de Oliveira, W. & Díaz Millán, R. & Ferreira, O.P. & Gonçalves, M.L.N. & Haeser, G. & Iusem, A.N. & Krislock, N. & Li, G. & Lucambio Pérez, L.R. & Márquez, C. & Melo, J.G. & Nemeth, S.Z. & Nghia, T.T.A & Pang, H.M. & Pijeira-Cabrera, H. & Prudente, L.F. & Scheimberg, S. & Santos, L.R. & Santos, P.S.M. & Shehu, Y. & Urbina, W.O. & Wang, X. 

SCIENTIFIC MEETINGS AND TALKS  

• Applied Mathematics Seminar at the Department of Mathematics and Statistics, FIU, FL, USA. March 29, 2024.

 - On the Circumcented-Reflection Method

• Colloquium of the Federal University of Goias, GO, Brazil. March 14, 2024.

 - Circumcentering Based Projection-Reflection Methods

• Colloquium of the Federal University of Santa Catarina, SC, Brazil. March 12, 2024.

 - Circumcentering Mathematical Ideas

• XIV Brazilian Workshop on Continuous Optimization, FGV, Rio de Janeiro, RJ, BRAZIL. March 4-9, 2024

     - On the Finite Convergence of the Alternating Projections

• 2023 Midwest Optimization Meeting, University of Michigan, Ann Arbor, MI, USA. October 21-22, 2023.

     - On the Circumcentered-Reflection Method for Solving Convex Feasibility Problems

• Mathematical Science Colloquium Series, Northern Illinois University, IL, USA. September 1, 2023.

 - On the Circumcentered-Reflection Method

• Mathematics and Statistics Colloquium Series, Oakland University, MI, USA. November 15-17, 2021.

     - Infeasibility and error bound Imply finite convergence of alternating projections

• 23rd Midwest Optimization Meeting, Grand Valley State University, Allendale, MI, USA. October 29-30, 2021.

     - On the finite convergence of alternating projections

•  XXIX week of IME, Federal University of Goias, Goiania, GO, BRAZIL. October 5-8, 2021.

     - Finite convergence of alternating projections under infeasibility and an error bound condition

• 21st Midwest Optimization Meeting, Northern Illinois University, DeKalb, IL, USA. October 18, 2019.

• XIII Brazilian Workshop on Continuous Optimization, IMPA, Rio de Janeiro, RJ, BRAZIL. September 23-27, 2019

     - A semi-smooth Newton Method for Projection Equations

• 2019 Workshop on Variational Analysis and Optimization, University of British Columbia, Kelowna, BC, CANADA. August 12-13, 2019.

        - Circumcentering Reflections

• 20th Midwest Optimization Meeting, Miami University, Oxford, OH, USA. October 12-13, 2018.

        - A semi-smooth Newton Method for Projection Equations and Linear Complementarity Problems

• XII Brazilian Workshop on Continuous Optimization, Foz de Iguacu, Parana, BRAZIL. July 23-27, 2018.

         - On the Q-linear Convergence of the Forward-backward Splitting Method and Uniqueness of Optimal solution to LASSO

• 19th Midwest Optimization Meeting, Oakland University, Rochester, MI, USA. October 21, 2017.

         - Circumcentering the Douglas-Rachford Method

• XII International Conference Approximation and Optimization in the Caribbean, Havana, CUBA. June 5 - 10, 2016.

  - On proximal (sub)gradient splitting method for nonsmooth convex optimization problems

• XI Brazilian Workshop on Continuous Optimization, Manaus, BRAZIL. May 22 - 27, 2016.     

 - A relaxed Algorithm for solving nonsmooth variational inequalities

• Joint Mathematics Meetings, Seattle, Washington, USA. January 6 - 9, 2016.     

 - On the complexity of the Proximal Gradient Iteration for Nonsmooth Convex Minimization Problems in Hilbert Spaces

• 4th Colloquium of Mathematics, Catalao, BRAZIL. November 16 - 20, 2015.

       - On the complexity of the proximal gradient method for nonsmooth convex minimization problems

• Scientific Seminary of Optimization Research Group, Havana, CUBA. August 31 - September 6, 2015.     

 - Conditional Extragradient Algorithm for Variational Inequalities

• 22nd International Symposium on Mathematical Programming, Pittsburgh, Pennsylvania, USA. July 12 - 17, 2015.

        - On Proximal Forward-Backward Splitting Method for Convex Optimization Problems

• Seminary of Optimization Group of IMPA, IMPA, Rio de Janeiro, BRAZIL. April 1, 2015.

        - On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions

• VII Simpósio de Análise Numérica e Otimização, UFPR, Curitiba, BRAZIL. February 24 - 25, 2015.

         - On the convergence of the proximal forward-backward splitting method with linesearches

• Joint Mathematics Meetings, San Antonio, Texas, USA. January 10 - 13, 2015.

           - On Proximal Forward-Backward Splitting Method for Convex Optimization Problems

• Centre for Optimization, Convex Analysis & Nonsmooth Analysis, University of British Columbia, CANADA. December 18, 2014.

  - Conditional Extragradient Algorithms for Variational Inequalities

• I Brazilian Congress of Young Researchers in Pure and Applied Mathematics, Sao Paulo, BRAZIL. December 10 - 12, 2014.

               - On Proximal Forward-Backward Splitting Method for Nonsmooth Optimization Problems

• West Coast Optimization Meeting, Simon Fraser University, Vancouver, CANADA. September 20 - 21, 2014.

• SIAM Conference on Optimization, San Diego, California, USA. May 19 - 22, 2014.

               - A Relaxed Projection Splitting Algorithm for Nonsmooth Variational Inequalities in Hilbert Spaces

• XI International Conference on Operations Research, University of Havana, CUBA. March 11 - 14, 2014.

                - A Relaxed-Projection Splitting Algorithm for Variational Inequalities in Hilbert Spaces

• Centre for Optimization, Convex Analysis & Nonsmooth Analysis, University of British Columbia, CANADA. February 13, 2014.

               - On Forward-Backward Splitting Methods

• West Coast Optimization Meeting, University of Victoria, Victoria, CANADA. October 4 - 5, 2013.

• 1º Encontro de Otimização da Universidade Federal de São Paulo (UNIFESP), São José Dos Campos, São Paulo, BRAZIL.  February 4 - 8, 2013.

               - Subgradient algorithms for vector optimization problems.

• IX Brazilian Workshop on Continuous Optimization,  Luis Correia. Piauí, BRAZIL. July 29 to August 4, 2012.

                - A subgradient method for vector optimization problems.

• II Colóquio de Matemática do Centro Oeste, Campus Universitário de Cuiabá, Cuiabá, MT, BRAZIL. November 7 - 11, 2011.

                - A strongly convergent method for nonsmooth convex minimization in Hilbert spaces.

• III Simpósio de Matemática e Matemática Industrial (SIMMI), Campus Catalão, Catalão, Goiás, BRAZIL. September 27 - 30, 2011.

                - A modified extragradient method for variational inequalities in Hilbert spaces.

• Summer School in Optimization and Applications, Universidade Federal de Santa Catarina, Florianópolis, BRAZIL. March 28 to April 1, 2011.

• International Conference on Advances in Optimization and Related Topics, Universitat Autònoma de Barcelona, Barcelona, SPAIN. November 29 to December 3, 2010.

                - A strongly convergent direct method for monotone variational inequalities in Hilbert spaces.

• VIII Brazilian Workshop on Continuous Optimization, celebrating Alfredo Iusem's 60th birthday, Mambucaba, BRAZIL. July 13 - 17, 2009.

                - An explicit method for monotone variational inequalities

• Workshop on Variational Analysis, on the occasion of Rafael Correa's 60th birthday, Centro de Modelamiento Matemático, University of Chile, Santiago de Chile, CHILE. November 10 - 13, 2008.

• School on Variational Analysis, Centro de Modelamiento Matemático, University of Chile, Santiago de Chile, CHILE. November 6 - 19, 2008.

                 - Forcing strong convergence of Korpelevich-type algorithm in Hilbert spaces.

• VII Brazilian Workshop on Continuous Optimization, University of Campinas (UNICAMP), Campinas, BRAZIL. July 28 - 31, 2008.

• Joint Meeting of the American Mathematical Society and Sociedade Brasileira de Matemática,  Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, BRAZIL. June 4 - 7, 2008.

• 26 Brazilian Mathematical Colloquium, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, BRAZIL. July 29 to August 3, 2007.

• X National Congress of Mathematics and Computer Science (COMPUMAT), Universidad de Holguin, Holguin, CUBA. November 21 - 23, 2007.

• XIII Latin American Congress of Operations Research (CLAIO), Universidad de la República, Montevideo, URUGUAY. November 27 - 30, 2006.

• Summer School, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, BRAZIL. January 2 to February 24, 2006.

• School of Mathematics of Latin America and the Caribbean (EMALCA), Centro de Investigación en Matemáticas (CIMAT), Guanajuato, MEXICO. August 1 - 12, 2005.

• VIII International Workshop on Wavelets, Differential Equations and Quantization, University of Havana, Havana, CUBA. February 21 - 25, 2005.

               - Primitives of Classical Orthogonal Polynomial 

• School of Mathematics of Latin America and the Caribbean (EMALCA), University of Costa Rica, San José, COSTA RICA. February 14 - 19, 2005.

• IV Summer School (MECESUP), Centro de Modelamiento Matemático, University of Chile, Santiago de Chile, CHILE. November 29 to December 17, 2004.

• School on Information and Randomness, Departamento de Ingeniería Matemática y Centro de Modelamiento Matemático, University of Chile, Santiago de Chile, CHILE. December 13 - 17, 2004.

• International Scientific Conference on Mathematics, Computer Science and Education (COMAT), University of Matanzas, Matanzas, CUBA. November 10 - 14, 2003.

                 - On Polar Legendre Polynomials

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