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Professor of Mathematics · Numerical Analysis and Optimization
School of Mathematical and Statistical Sciences, Northern Illinois University
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Last updated: August 2026
About
I am a Full Professor in the School of Mathematical and Statistical Sciences at Northern Illinois University (NIU), USA, and AIC Director of the Ph.D. Program. Before joining NIU in 2016, I was a tenured Assistant Professor at the Institute of Mathematics and Statistics of the Federal University of Goiás, Brazil, and a CNPq Postdoctoral Research Fellow with Heinz H. Bauschke at the University of British Columbia (Okanagan), Canada. I received my Ph.D. in Mathematics from IMPA (Rio de Janeiro, Brazil) under the supervision of Alfredo N. Iusem, and my B.Sc. in Mathematics and M.Sc. in Analysis from the University of Havana, Cuba.
Research
I work in continuous optimization: the design, convergence analysis, and complexity of algorithms for structured problems in nonsmooth and convex optimization, variational inequalities, monotone inclusions, and vector/multiobjective optimization. Recent themes include circumcentered-reflection methods for convex feasibility, proximal-gradient and splitting methods with explicit line searches, semi-smooth Newton methods for projection equations and conic problems, and finite convergence of projection algorithms.
My research is currently supported by NSF grant DMS-2307328, Design and Analysis of Algorithms for Structured Optimization (2023–2026). Earlier support includes NSF grant DMS-1816449 (2018–2021), NIU Research & Artistry and CLAS Summer grants, and CNPq Universal and Productivity Research grants (2013–2016). The full list is in the Grants section below.
Keywords: convex and nonsmooth optimization · variational inequalities and monotone operators · projection and splitting methods · circumcentered-reflection methods · semi-smooth Newton methods · vector optimization · convergence rates and complexity.
Positions
2025–present: Professor and AIC Director, School of Mathematical and Statistical Sciences, Northern Illinois University, DeKalb, IL, USA
2019–2025: Associate Professor and AIC Director, Department of Mathematical Sciences, Northern Illinois University
2016–2019: Assistant Professor (tenure track), Department of Mathematical Sciences, Northern Illinois University
2015–2016: Assistant Professor (with tenure), Institute of Mathematics and Statistics, Federal University of Goiás, Brazil
2013–2015: Postdoctoral Research Fellow, Department of Mathematics, University of British Columbia, Kelowna, BC, Canada
2009–2015: Assistant Professor (tenure track), Institute of Mathematics and Statistics, Federal University of Goiás, Brazil
2007–2009: Graduate Research/Teaching Assistant, IMPA, Rio de Janeiro, Brazil
Education
2006–2009: Ph.D. in Mathematics, IMPA, Rio de Janeiro, Brazil. Advisor: Alfredo N. Iusem
2003–2005: M.Sc. in Mathematics, University of Havana, Cuba
1997–2002: B.Sc. in Mathematics, University of Havana, Cuba
Editorial and professional service
Editorial boards: Journal of Applied and Numerical Optimization, Fixed Point Theory and Applications, Applied Set-Valued Analysis and Optimization, Fixed Point Theory and Algorithms for Sciences and Engineering, Computational and Applied Mathematics.
Guest editor: special issue Optimization and Real World Applications, Fixed Point Theory and Algorithms for Sciences and Engineering.
Proposal review: NSF panels — Data, Optimization, and Numerical Analysis (2025) and CDS&E (2026); ad hoc reviews for CNPq and CAPES (Brazil), NRF (South Africa, 2024), ANID and Fondecyt (Chile, 2025), and the Israel Science Foundation (2025). Reviewer for Mathematical Reviews / MathSciNet.
Referee (since 2010) for, among others: Comput. Optim. Appl.; European J. Oper. Res.; IEEE Trans. Signal Process.; Inverse Problems; J. Global Optim.; J. Optim. Theory Appl.; Math. Oper. Res.; Math. Program.; Numer. Algorithms; Numer. Funct. Anal. Optim.; Optimization; Optim. Lett.; SIAM J. Control Optim.; SIAM J. Optim.; Set-Valued Var. Anal.
Organizer, 21st Midwest Optimization Meeting, NIU, October 18, 2019.
Contact
Address: Watson Hall 330, Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA
Office: +1 815 753 6764
Email: yunierbello [at] niu.edu · yunier.bello [at] gmail.com
Students
Ph.D. students
Cassandra Mohr, NIU, 2021–2024. Explicit proximal gradient methods: bridging theory and practice in optimization (dissertation). Now: Postdoc, Middle Tennessee State University, USA.
Nicolás F. Armijo (co-supervision), Department of Applied Mathematics, University of São Paulo, 2020–2024. A semi-smooth Newton method for conic projection equations (dissertation). Now: Postdoc, State University of Campinas, Brazil.
Oday Hazaimah, NIU, 2018–2020. Projective splitting methods for maximal monotone mappings in Hilbert spaces (dissertation). Now: Adjunct Faculty, Saint Louis University, USA.
Reinier Díaz Millán, Federal University of Goiás, 2012–2015. On several algorithms for variational inequality and inclusion problems (dissertation). Now: Lecturer, Deakin University, Australia.
Postdoctoral fellow. Gemayqzel Bouza Allende (2012, supported by CAPES grant 000226/2012-1). Now: Professor, Faculty of Mathematics and Computation, University of Havana, Cuba.
M.Sc. students (Institute of Mathematics and Statistics, Federal University of Goiás, Brazil)
Henrique Carvalho Rodrigues, 2016. An introduction to real analysis: continuous and nondifferentiable functions and fractals.
Ronan Gomes de Amorim, 2013. Introduction to convex analysis: convex sets and functions (in Portuguese).
Rayner Ferreira Barbosa da Costa, 2013. An approach to the vector gradient method (in Portuguese). Now: Assistant Professor, Pontifical Catholic University of Goiás, Brazil.
Pedro Felippe da Silva Araújo, 2012. Linear programming and its applications: definition and methods of solution (in Portuguese).
Publications
Preprints (8)
Y. Bello Cruz, R. Quintero-Contreras. A 3-adic recurrence for the fixed points of the Josephus function J₄. arXiv:2607.01270, 33 pp. (2026). arXiv · code
Y. Bello Cruz. On the sharp linear convergence rate of the circumcentered-reflection method on subspaces. arXiv:2606.07888, 50 pp. (2026). arXiv · code
Y. Bello Cruz. On the geometry of circumcentric directions of cones. arXiv:2604.26228, 25 pp. (2026). arXiv
Y. Bello Cruz. The method of elipcenters for strongly convex functions. arXiv:2604.21132, 11 pp. (2026). arXiv · code
N. Armijo, Y. Bello Cruz, G. Haeser. A semi-smooth Newton method for the nonlinear conic problem with generalized simplicial cones. arXiv:2604.18858, 16 pp. (2026). arXiv
Y. Bello Cruz. Q-quadratic convergence of the centralized circumcentered-reflection method under a relative interior condition. arXiv:2604.11450, 15 pp. (2026). arXiv · code
R. Behling, Y. Bello Cruz, L.R. Santos, P.J.S. Silva. Basis pursuit by inconsistent alternating projections. arXiv:2508.15026, 16 pp. (2025). arXiv
R. Behling, Y. Bello Cruz, A. Iusem, D. Liu, L.R. Santos. On circumcentered direct methods for monotone variational inequality problems. arXiv:2506.17814, 29 pp. (2025). arXiv
Refereed journal papers (54)
2026 (3)
R. Behling, Y. Bello Cruz, A. Iusem, A.A. Riveiro, L.R. Santos. Fejér* monotonicity in optimization algorithms. Optimization, 1–10 (2026). DOI · arXiv
Y. Bello Cruz, R. Quintero-Contreras. Fixed points of the Josephus function via fractional base expansions. Integers 26, A54, 12 pp. (2026). PDF
N. Armijo, Y. Bello Cruz, G. Haeser. A semi-smooth Newton method for general projection equations applied to the nearest correlation matrix problem. Optimization 75(9), 2293–2315 (2026). DOI · arXiv
2025 (2)
Y. Bello Cruz, M.L.N. Gonçalves, J. Melo, C. Mohr. A relative inexact proximal gradient method with an explicit linesearch. Journal of Optimization Theory and Applications 206, art. 9, 32 pp. (2025). DOI
Y. Bello Cruz, J. Melo, L.F. Prudente, R.V.G. Serra. A proximal gradient method with an explicit line search for multiobjective optimization. Computational Optimization and Applications 92(2), 437–469 (2025). arXiv
2024 (5)
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), 2535–2556 (2024). arXiv
Y. Bello Cruz, R. Quintero-Contreras. On the recurrence formula for fixed points of the Josephus function. Integers 24, A115, 15 pp. (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), art. 24.3.8 (2024). PDF
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
2023 (4)
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
2022 (4)
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 Applications 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
2021 (4)
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 achieves 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 Applications 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
2020 (1)
R. Behling, Y. Bello Cruz, L.R. Santos. The block-wise circumcentered-reflection method. Computational Optimization and Applications 76, 675–699 (2020). PDF · DOI
2019 (1)
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 · Publisher
2018 (2)
R. Behling, 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
2017 (3)
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
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). PDF · DOI · MATLAB code
2016 (7)
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, 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). PDF · DOI · MATLAB code
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, 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). PDF · DOI · MATLAB code
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. van Ackooij, Y. Bello Cruz, W. de Oliveira. A strongly convergent proximal bundle method for convex minimization in Hilbert spaces. Optimization 65, 145–167 (2016). PDF · DOI
2015 (2)
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
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
2014 (6)
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
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, 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
Y. Bello Cruz, R. Díaz Millán. A direct splitting method for nonsmooth variational inequalities. Journal of Optimization Theory and Applications 161, 728–737 (2014). PDF · DOI
Y. Bello Cruz, W. de Oliveira. Level bundle-like algorithms for convex optimization. Journal of Global Optimization 59, 787–809 (2014). PDF · DOI
Y. Bello Cruz, L.R. Lucambio Pérez. A subgradient-like algorithm for solving vector convex inequalities. Journal of Optimization Theory and Applications 162, 392–404 (2014). PDF · DOI
2013 (2)
Y. Bello Cruz. A subgradient method for vector optimization problems. SIAM Journal on Optimization 23, 2169–2182 (2013). PDF · DOI
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 Applications 159, 562–575 (2013). PDF · DOI
2012 (1)
Y. Bello Cruz, A.N. Iusem. An explicit algorithm for monotone variational inequalities. Optimization 61, 855–871 (2012). PDF · DOI
2011 (3)
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
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
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
2010 (3)
Y. Bello Cruz, H. Pijeira Cabrera, W. Urbina Romero. On polar Legendre polynomials. Rocky Mountain Journal of Mathematics 40, 2025–2036 (2010). DOI
Y. Bello Cruz, A.N. Iusem. Convergence of direct methods for paramonotone variational inequalities. Computational Optimization and Applications 46, 247–263 (2010). PDF · DOI
Y. Bello Cruz, L.R. Lucambio Pérez. Convergence of a projected gradient method variant for quasiconvex objectives. Nonlinear Analysis 73, 2917–2922 (2010). PDF · DOI
2009 (1)
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
Thesis
Y. Bello Cruz. Direct methods for monotone variational inequalities. Ph.D. dissertation, IMPA, Rio de Janeiro, 2009 (advisor: Alfredo N. Iusem). Preprint IMPA C095/2009, 93 pp. PDF
Citations (August 2026): Google Scholar 1,620 (h-index 23) · Scopus 980 (h-index 17) · MathSciNet 654 (h-index 16)
Grants and awards
Current
NSF DMS-2307328, Design and Analysis of Algorithms for Structured Optimization, PI, 06/2023–11/2026, $161,259. Award page
Previous
NSF DMS-1816449, Second-Order Variational Analysis in Structured Optimization and Algorithms with Applications, PI, 2018–2021, $99,143. Award page
CLAS Summer Grant, NIU (supporting Ph.D. student Cassandra Mohr), 05–08/2023, $5,000.
Research & Artistry Grant, NIU, 2022–2023, $7,500.
Sabbatical leave (half-year salary), Design and Analysis of Algorithms for Structured Optimization Problems, NIU, 2021–2022 (ranked 1st of 19).
Research & Artistry Grant, NIU, 2018–2019, $9,000.
Travel support, NIU, 07–08/2018, $1,000.
Start-up fund, NIU, 05–07/2017, $8,000.
CNPq Productivity Research Grant 303492/2013-9 (sole PI), UFG, 2014–2016, R$36,000.
CNPq Universal Grant 474160/2013-0, UFG, 2013–2016, R$30,000.
CNPq Postdoctoral Scholarship 202677/2013-3, University of British Columbia, 2013–2015.
CAPES–MES-Cuba project, CAPES grant 000226/2012-1, UFG, 2012–2016, R$125,000.
MATHAMSUD (CAPES/CNRS), Variational analysis and applications to optimization, monotone operators, convex analysis, and Nash equilibrium problems, UFG, 2013–2014.
CAPES visiting-professor funding, University of Havana, Nov–Dec 2012.
PROCAD-nf 21/2009 (CAPES), Análise, Geometria e Otimização UFG/UnB/IMPA, 2010–2013.
PRONEX-CNPq/FAPERJ (26/2006, 15/2009-APQ1), Núcleo de Excelência em Teoria e Métodos de Otimização Contínua, 2007–2013.
CAPES and CNPq travel support (R$17,000), ISMP 2015, Pittsburgh, and research visit to Oakland University, 08/2015.
P.C.I. Summer Postdoctoral Scholarships, IMPA, 2010 and 2011.
CNPq–TWAS Ph.D. scholarship, IMPA, 2006–2009.
Travel support: CONICYT (School on Variational Analysis, CMM, University of Chile, 11/2008); UMALCA and CIMPA (EMALCA, University of Costa Rica, 02/2005, and CIMAT, Mexico, 08/2005).
Invited talks and conference presentations
2026
Nearest correlation matrices via halfspace projections. Operations Research seminar, Center for Mathematics and Applications, NOVA University of Lisbon, May 6.
On circumcentered reflection methods for convex feasibility. Analysis Seminar, Loyola University Chicago, April 14.
Accelerating projection algorithms via circumcentered reflections. Colloquium, Oakland University, April 7.
2025
On circumcentered-reflection methods. Mathematical Congress of the Americas, special session Recent Advances in Convex and Riemannian Optimization, Miami, July 21–25.
2024
A semi-smooth Newton method for solving general projection equations. Midwest Optimization Meeting & Workshop on Large Scale Optimization, University of Waterloo, Nov 8–9.
On the circumcentered-reflection method. Applied Mathematics Seminar, FIU, March 29.
Circumcentering-based projection–reflection methods. Colloquium, Federal University of Goiás, March 14.
Circumcentering mathematical ideas. Colloquium, Federal University of Santa Catarina, March 12.
On the finite convergence of alternating projections. XIV Brazilian Workshop on Continuous Optimization, FGV Rio de Janeiro, March 4–9.
2023
On the circumcentered-reflection method for solving convex feasibility problems. Midwest Optimization Meeting, University of Michigan, Oct 21–22.
On the circumcentered-reflection method. Mathematical Sciences Colloquium, NIU, Sept 1.
2021
Infeasibility and error bound imply finite convergence of alternating projections. Colloquium, Oakland University, Nov 15–17.
On the finite convergence of alternating projections. 23rd Midwest Optimization Meeting, Grand Valley State University, Oct 29–30.
Finite convergence of alternating projections under infeasibility and an error bound condition. XXIX Week of IME, Federal University of Goiás, Oct 5–8.
2019
21st Midwest Optimization Meeting, NIU, Oct 18.
A semi-smooth Newton method for projection equations. XIII Brazilian Workshop on Continuous Optimization, IMPA, Sept 23–27.
Circumcentering reflections. Workshop on Variational Analysis and Optimization, UBC Okanagan, Aug 12–13.
2018
A semi-smooth Newton method for projection equations and linear complementarity problems. 20th Midwest Optimization Meeting, Miami University, Oct 12–13.
On the Q-linear convergence of the forward-backward splitting method and uniqueness of optimal solution to LASSO. XII Brazilian Workshop on Continuous Optimization, Foz do Iguaçu, July 23–27.
2017
Circumcentering the Douglas–Rachford method. 19th Midwest Optimization Meeting, Oakland University, Oct 21.
2016
On proximal (sub)gradient splitting method for nonsmooth convex optimization problems. XII International Conference on Approximation and Optimization in the Caribbean, Havana, June 5–10.
A relaxed algorithm for solving nonsmooth variational inequalities. XI Brazilian Workshop on Continuous Optimization, Manaus, May 22–27.
On the complexity of the proximal gradient iteration for nonsmooth convex minimization problems in Hilbert spaces. Joint Mathematics Meetings, Seattle, Jan 6–9.
2015
On the complexity of the proximal gradient method for nonsmooth convex minimization problems. 4th Colloquium of Mathematics (Centro-Oeste), Catalão, Nov 16–20.
Conditional extragradient algorithm for variational inequalities. Optimization Research Group seminar, Havana, Aug 31–Sept 6.
On proximal forward-backward splitting method for convex optimization problems. 22nd ISMP, Pittsburgh, July 12–17.
On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. Optimization seminar, IMPA, April 1.
On the convergence of the proximal forward-backward splitting method with linesearches. VII Simpósio de Análise Numérica e Otimização, UFPR, Feb 24–25.
On proximal forward-backward splitting method for convex optimization problems. Joint Mathematics Meetings, San Antonio, Jan 10–13.
2014
Conditional extragradient algorithms for variational inequalities. OCANA seminar, UBC Okanagan, Dec 18.
On proximal forward-backward splitting method for nonsmooth optimization problems. I Brazilian Congress of Young Researchers in Pure and Applied Mathematics, São Paulo, Dec 10–12.
West Coast Optimization Meeting, Simon Fraser University, Sept 20–21 (participant).
A relaxed projection splitting algorithm for nonsmooth variational inequalities in Hilbert spaces. SIAM Conference on Optimization, San Diego, May 19–22.
A relaxed-projection splitting algorithm for variational inequalities in Hilbert spaces. XI International Conference on Operations Research, Havana, March 11–14.
On forward-backward splitting methods. OCANA seminar, UBC Okanagan, Feb 13.
2013 and earlier
2013: West Coast Optimization Meeting, Victoria (participant); Subgradient algorithms for vector optimization problems (plenary talk), I Optimization Meeting of UNIFESP, São Paulo, Feb 4–8.
2012: A subgradient method for vector optimization problems, IX Brazilian Workshop on Continuous Optimization, Piauí, July 29–Aug 4.
2011: A strongly convergent method for nonsmooth convex minimization in Hilbert spaces, II Colóquio de Matemática do Centro-Oeste, Cuiabá, Nov 7–11; A modified extragradient method for variational inequalities in Hilbert spaces, III SIMMI, Catalão, Sept 27–30; Summer School in Optimization, UFSC (participant).
2010: A strongly convergent direct method for monotone variational inequalities in Hilbert spaces, ADORT 2010, Universitat Autònoma de Barcelona, Nov 29–Dec 3.
2009: An explicit method for monotone variational inequalities, VIII Brazilian Workshop on Continuous Optimization (Iusem 60th birthday), Mambucaba, July 13–17.
2008: Forcing strong convergence of Korpelevich-type algorithm in Hilbert spaces, School on Variational Analysis, CMM Chile, Nov 6–19; poster at the Workshop on Variational Analysis (Rafael Correa’s 60th birthday), CMM Chile, Nov 10–13; VII BRAZOPT, UNICAMP; AMS–SBM Joint Meeting, IMPA (participant).
2007: 26th Brazilian Mathematical Colloquium, IMPA; COMPUMAT, Holguín (participant).
2006: CLAIO XIII, Montevideo; IMPA Summer School, Jan–Feb 2006.
2005: Primitives of classical orthogonal polynomials, VIII International Workshop on Wavelets, Differential Equations and Quantization, Havana, Feb 21–25; EMALCA Costa Rica (Feb) and EMALCA Guanajuato (Aug) (participant).
2004: MECESUP IV Summer School and School on Information and Randomness, CMM Chile (participant).
2003: On polar Legendre polynomials, COMAT, University of Matanzas, Nov 10–14.
Short research visits
2026: NOVA University of Lisbon, Portugal (M. Raydan and the Operations Research Group), 10 days; Oakland University, USA (T.T.A. Nghia), 7 days, NSF support.
2024: University of Genoa, Italy (S. Villa); CMA, Mines Paris, France (W. de Oliveira); Federal University of Goiás, Brazil (M.L.N. Gonçalves, J. Melo) — NSF support; Federal University of Santa Catarina, Brazil (L.R. Santos, R. Behling).
2021–2022: Florida International University, USA (W. Carballosa Torres), two visits; Oakland University, USA (T.T.A. Nghia), 2021.
2019: University of Havana, Cuba (G. Bouza Allende); University of British Columbia, Canada (H.H. Bauschke); University of Alicante, Spain (F.J. Aragón Artacho), 3 weeks; Oakland University, USA (T.T.A. Nghia).
2017–2018: Oakland University, USA (T.T.A. Nghia); Federal University of Goiás, Brazil (O.P. Ferreira).
2015: Oakland University, USA (T.T.A. Nghia), 3 weeks; FGV, Brazil (V. Guigues); University of Florida, USA (G. Lan).
2010–2012: University of Havana, Cuba (G. Bouza Allende), 30 days, 2012; IMPA, Brazil (A.N. Iusem), P.C.I. summer fellowships, 2010 and 2011.
Co-authors
R. Arefidamghani (2) · G. Araújo (1) · N. Armijo (3) · J.G. Barrios (1) · H.H. Bauschke (2) · R. Behling (14) · G. Bouza Allende (3) · W. de Oliveira (3) · R. Díaz Millán (4) · O.P. Ferreira (3) · M.L.N. Gonçalves (2) · G. Haeser (3) · O. Hazaimah (1) · A.N. Iusem (12) · N. Krislock (1) · H. Lara-Urdaneta (1) · G. Li (2) · D. Liu (3) · L.R. Lucambio Pérez (4) · C. Márquez (1) · J.G. Melo (4) · C. Mohr (1) · S.Z. Németh (2) · T.T.A. Nghia (5) · H. Oviedo (1) · H.M. Phan (3) · H. Pijeira Cabrera (2) · L.F. Prudente (3) · R. Quintero-Contreras (4) · A.A. Riveiro (1) · L.R. Santos (14) · P.S.M. Santos (1) · S. Scheimberg (1) · R.V.G. Serra (2) · Y. Shehu (1) · P.J.S. Silva (1) · W. Urbina Romero (2) · W. van Ackooij (1) · X. Wang (2)
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