Leonardo D. Secchin

Leonardo D. Secchin

Department of Applied Mathematics, Federal University of Espírito Santo, Brazil

Research

Research Interests

Talks / Slides de apresentações

Submitted articles

  1. Global convergence of a second-order augmented Lagrangian method under an error bound condition [preprint]
    R. Andreani, G. Haeser, R. W. Prado, M. L. Schuverdt, L. D. Secchin
    2024

  2. A relaxed quasinormality condition and the boundedness of dual augmented Lagrangian sequences [preprint]
    R. Andreani, G. Haeser, M. L. Schuverdt, L. D. Secchin
    2024

  3. Strong global convergence properties of algorithms for nonlinear symmetric cone programming [preprint]
    R. Andreani, G. Haeser, A. Ramos, D. O. Santos, L. D. Secchin, A. Serranoni
    2024

  4. A practical second-order optimality condition for cardinality-constrained problems with application to an augmented Lagrangian method [preprint]
    J. C. A. Medeiros, A. A. Ribeiro, M. Sachine, L. D. Secchin
    2022 2024

Published papers and articles in press

If you are unable to download a paper, please email me.

  1. Improving the global convergence of Inexact Restoration methods for constrained optimization problems [doi] [preprint]
    R. Andreani, A. Ramos, L. D. Secchin
    SIAM Journal on Optimization, 34(4):3429-3455, 2024

  2. On enhanced KKT optimality conditions for smooth nonlinear optimization [doi] [preprint]
    R. Andreani, M. L. Schuverdt, L. D. Secchin
    SIAM Journal on Optimization, 34(2):1515-1539, 2024

  3. Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems [doi]
    P. C. da Silva Junior, O. P. Ferreira, L. D. Secchin, G. N. Silva
    Journal of Computational and Applied Mathematics, 440:115638, 2024

  4. Optimality conditions for nonlinear second-order cone programming and symmetric cone programming [doi] [preprint]
    R. Andreani, E. H. Fukuda, G. Haeser, D. O. Santos, L. D. Secchin
    Journal of Optimization Theory and Applications, 200:1-33, 2024

  5. An extended delayed weighted gradient algorithm for solving strongly convex optimization problems [doi] [preprint]
    R. Andreani, H. Oviedo, M. Raydan, L. D. Secchin
    Journal of Computational and Applied Mathematics, 416:114525, 2022

  6. On the best achievable quality of limit points of augmented Lagrangian schemes [doi] [preprint]
    R. Andreani, G. Haeser, L. M. Mito, A. Ramos, L. D. Secchin
    Numerical Algorithms, 90:851-877, 2022
    Erratum for the published version

  7. On the convergence of augmented Lagrangian strategies for nonlinear programming [doi] [preprint]
    R. Andreani, A. Ramos, A. A. Ribeiro, L. D. Secchin, A. R. Velazco
    IMA Journal of Numerical Analysis, 42(2):1735-1765, 2022

  8. Convergence of Quasi-Newton Methods for Solving Constrained Generalized Equations [doi] [preprint]
    R. Andreani, R. M. Carvalho, L. D. Secchin, G. N. Silva
    ESAIM: Control, Optimisation and Calculus of Variations, 28, 2022

  9. On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees [doi] [preprint]
    R. Andreani, G. Haeser, M. L. Schuverdt, L. D. Secchin, P. J. S. Silva
    Mathematical Programming Computation, 14:121-146, 2022
    Codes available at github.com/leonardosecchin/scaled-algencan

  10. On the use of Jordan Algebras for improving global convergence of an Augmented Lagrangian method in nonlinear semidefinite programming [doi] [preprint]
    R. Andreani, E. H. Fukuda, G. Haeser, D. O. Santos, L. D. Secchin
    Computational Optimization and Applications, 79:633-648, 2021

  11. New sequential optimality conditions for mathematical problems with complementarity constraints and algorithmic consequences [doi] [preprint]
    R. Andreani, G. Haeser, L. D. Secchin, P. J. S. Silva
    SIAM Journal on Optimization, 29(4):3201-3230, 2019

  12. Bilevel optimization with a multiobjective problem in the lower level [doi] [preprint]
    R. Andreani, V. A. Ramirez, S. A. Santos, L. D. Secchin
    Numerical Algorithms, 81:915-946, 2019

  13. A Sequential Optimality Condition Related to the Quasi-normality Constraint Qualification and Its Algorithmic Consequences [doi] [preprint]
    R. Andreani, N. S. Fazzio, M. L. Schuverdt, L. D. Secchin
    SIAM Journal on Optimization, 29(1):743-766, 2019

  14. An improved mixed-integer programming model for the double row layout of facilities [doi]
    L. D. Secchin, A. R. S. Amaral
    Optimization Letters, 13:193-199, 2019

  15. Convergence properties of a second order augmented Lagrangian method for mathematical programs with complementarity constraints [doi] [preprint]
    R. Andreani, L. D. Secchin, P. J. S. Silva
    SIAM Journal on Optimization, 28(3):2574-2600, 2018

  16. Emergence of skyrmion lattices and bimerons in chiral magnetic thin films with nonmagnetic impurities [doi]
    R. L. Silva, L. D. Secchin, W. A. Moura-Melo, A. R. Pereira, R. L. Stamps
    Physical Review B, 89:054434, 2014

  17. Um novo algoritmo para soluções ótimas locais do problema linear de dois níveis
    L. D. Secchin
    TEMA (São Carlos), 2012

Conference papers

  1. A note on the convergence of an augmented Lagrangian algorithm to second-order stationary points [corrected version]
    R. Andreani, L. D. Secchin
    Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2018

  2. Estratégias de restauração inexata aplicadas a problemas de otimização com restrições de Pareto [doi]
    R. Andreani, S. A. Santos, L. D. Secchin
    Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2018

Other

  1. Karush-Kuhn-Tucker Conditions [PDF]
    M. L. Schuverdt, L. D. Secchin
    IFORS News, 16(2):16-18, June 2021, ISSN 2223-4373

Funding