1. Linear algebra I. Undergraduate course. CMRV/UFDPar. 2025-1
2. Calculus II. Undergraduate course. CMRV/UFDPar. 2025-1.
Numerical Algorithms for solving Equilibrium and Quasi-equilibrium problems
Newton-type methods for generalized equations
Multiobjective optimization
Nonlinear and continuous Knapsack problems
Núcleo de Estudos em Matemática - NEMAT
1. Marcelo de Oliveira Rego. To be defined. 2024-currently. Doctoral thesis. Computer science. Universidade Federal do Piauí. Advisor.
2. José Eliésio Souza Damascena. To be defined. 2022-currently. Doctoral thesis. Computer science. Universidade Federal do Piauí. Advisor.
3. Pedro Henrique Santos da Silva. Scientific initiation. Mathematics. Universidade Federal do Delta do Parnaíba.
4. Luciano da Conceição Ferreira. 2023-currently. Scientific initiation - CNPq. Mathematics. Universidade Federal do Delta do Parnaíba.
5. Inácio Learte Lima. 2024-currently. Scientific initiation - Mathematics. Universidade Federal do Delta do Parnaíba.
Funding
Numerical algorithms for solving continuous nonlinear resource allocation problem
2023-03 to 2026-07 | Grant
Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasília - DF, BR)
GRANT_NUMBER: 309552/2022-2
26. Amaral, V. S. ; Lopes, J. O. ; Santos, P. S. M. ; Silva, G. N. . On the complexity of a quadratic regularization algorithm for minimizing nonsmooth and nonconvex functions. Optimization Methods & Software, accepted in 2024.
25. Piétrus, A. ; Santos, P. S. M. ; Silva, G. N. . Inexact quasi-Newton methods under a relaxed metric regularity assumption. Numerical Algorithms, accepted in 2024.
24. Amaral, V.S .; Santos, P. S. M.; Silva, G. N.; Souza, S. S. A modified Newton-Secant methods for solving nonsmooth generalized equations. Mathematical Modelling and Analysis. v. 29, p. 347- 366, 2024.
23. Amaral, V. S.; Santos, P. S. M.; SILVA, G. N.; Souza, S. S.. A Quasi-Newton method for solving generalized equations by using a Kantorovich approach. Computational and Applied Mathematics. v. 43, p.104 - 120, 2024.
22. Alves, A.; Silva, J. O. L.; Matioli, L.C.; Santos, P. S. M.; Souza, S.S.. An Accelerated Fixed-Point Algorithm Applied to Quadratic Convex Separable Knapsack Problems. Journal Of Control Science And Engineering. , v. 2024, p. 1 - 17, 2024.
21. Torrealba, E.M.R. ; Silva, J.G. ; Matioli, L.C. ; Kolossoski, O. ; Santos, P.S.M. . Augmented Lagrangian algorithms for solving the continuous nonlinear resource allocation problem. European Journal of Operational Research, v. 299, p.46-59, 2022.
20. Santos, P. J. S., Santos, P.S.M. ; Scheimberg, S. A Newton-type method for Quasi-Equilibrium Problems and applications. Optimization, v.71, p. 7-32, 2022.
19. Sousa, L. A. , Scheimberg, S., Santos, P.S.M., Santos, P. J. S. A quasi-Newton type Method for Equilibrium problems. Numerical Algorithms, v. 89, p. 1129-1143, 2022.
18. Santos, P. S. M.; SILVA, G. N. ; Silva, R. C. M. . Newton-type method for solving generalized inclusion. Numerical Algorithms, v. 88, p. 1811-1829, 2021.
17. Cruz Neto, J. X. ; Santos, P. S. M. ; Silva, R. C. M. ; Souza, J. C. O. . On a Bregman regularized proximal point method for solving equilibrium problems. Optimization Letters, v. 13, p. 1143-1155, 2019.
16. R. S. V. Hoto ; Matioli, L. C. ; Santos, P. S. M. . A penalty algorithm for solving convex separable knapsack problems. Applied Mathematics and Computation, v. 1, p. 124855, 2019.
15. Santos, P. J. S. ; Santos, P. S. M. ; Scheimberg, S. . A proximal Newton-type method for equilibrium problems. Optimization Letters, v. 12, p. 997-1009, 2018.
14. G. N. Silva ; Souza, S. S. ; Santos, P.S.M. . Extended Newton-type method for nonlinear functions with values in a cone. Computational $ Applied Mathematics, p. 5082-5097, 2018.
13. Cruz Neto, J. X. ; Lopes, J. O. ; Santos, P. S. M. ; Souza, J. C. O. . An interior proximal linearized method for DC-programming based on Bregman distance or second-order homogeneous kernels. Optimization, v. 68, p. 1-15, 2018.
12. Bento, G. C. ; Neto, J. X. Cruz ; Santos, P. S. M. ; Souza, S. S. . A weighting subgradient algorithm for multiobjective optimization. Optimization Letters, v. 12, p. 399-410, 2017.
11. Cruz Neto, J. X. ; Souza, S. S. ; Brito, A. S. ; Santos, P.S.M. . A relaxed projection method for solving multiobjective optimization problems. European Journal of Operational Research, v. 1, p. 1-7, 2016.
10. Santos, P.S.M.; Scheimberg, S. . A modified projection algorithm for constrained equilibrium problems. Optimization(Print), v. 1, p. 1-12, 2016.
9. Cruz Neto, J. X. ; Santos, P. S. M. ; Soares, P. A. . An extragradient method for equilibrium problems on Hadamard manifolds. Optimization Letters (Print), v. 1, p. 1-10, 2015.
8.Santos, P.S.M.; Scheimberg, S. . An outer approximation algorithm for equilibrium problems in Hilbert spaces. Optimization Methods & Software (Print), v. 30, p. 379-390, 2014.
7. Oliveira, P.R. ; Santos, P.S.M. ; Silva, A.N. . A Tikhonov-type regularization for equilibrium problems in Hilbert spaces. Journal of Mathematical Analysis and Applications (Print), v. 401, p. 336-342, 2013.
6. Bento, G. C. ; Cruz Neto, J. X. ; Santos, P.S.M. . An Inexact Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds. Journal of Optimization Theory and Applications, v. 159, p. 108-124, 2013.
5. Bello Cruz, J. Y. ; Santos, P. S. M. ; Scheimberg, S. . A Two-Phase Algorithm for a Variational Inequality Formulation of Equilibrium Problems. Journal of Optimization Theory and Applications (Dordrecht. Online), v. 159, p.562-575, 2013.
4. Santos, P. S. M.; Souza, S. S. ; Cruz Neto, J. X. . A Sufficient descent direction method for quasiconvex optimization over Riemannian manifolds. Pacific Journal of Optimization (Print), v. 8, p. 803-815, 2012.
3. Santos, P. S. M.; Scheimberg, S. . An Inexact Subgradient Algorithm for Equilibrium Problems. Computational & Applied Mathematics, v. 30, p. 91-107, 2011.
2. Scheimberg, S. ; Santos, P.S.M. . A relaxed projection method for finite-dimensional equilibrium problems. Optimization, v. 60, p. 1193-1208, 2011.
1. Santos, P. S. M.; Scheimberg, S. . A projection algorithm for general variational inequalities with perturbed constraint sets. Applied Mathematics and Computation, v. 181, p. 649-661, 2006.
