Latest publications

• Maurício Silva Louzeiro, Ronny Bergmann and Roland Herzog
  Fenchel duality and a separation theorem on Hadamard manifolds
  SIAM Journal on Optimization 32(2), p.854-873, 2022
  
  arXiv:2102.11155 doi:10.1137/21m1400699
  bibtex

  @ARTICLE{SilvaLouzeiroBergmannHerzog:2022:1,
    AUTHOR = {Silva Louzeiro, Maurício and Bergmann, Ronny and Herzog, Roland},
    PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
    DATE = {2022-05},
    DOI = {10.1137/21m1400699},
    EPRINT = {2102.11155},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {SIAM Journal on Optimization},
    NUMBER = {2},
    PAGES = {854--873},
    TITLE = {Fenchel duality and a separation theorem on Hadamard manifolds},
    VOLUME = {32},
  }

• Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro, Daniel Tenbrinck and José Vidal-Núñez
  Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
  Foundations of Computational Mathematics 21(6), p.1465-1504, 2021
  
  arXiv:1908.02022 doi:10.1007/s10208-020-09486-5
  bibtex

  @ARTICLE{BergmannHerzogSilvaLouzeiroTenbrinckVidalNunez:2021:1,
    AUTHOR = {Bergmann, Ronny and Herzog, Roland and Silva Louzeiro, Maurício and Tenbrinck, Daniel and Vidal-Núñez, José},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2021-01},
    DOI = {10.1007/s10208-020-09486-5},
    EPRINT = {1908.02022},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Foundations of Computational Mathematics},
    NUMBER = {6},
    PAGES = {1465--1504},
    TITLE = {Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds},
    VOLUME = {21},
  }

• Orizon Ferreira, Maurício Louzeiro and Leandro Prudente
  First order methods for optimization on Riemannian manifolds
  Handbook of Variational Methods for Nonlinear Geometric Data, p.499-525, 2020
  
  doi:10.1007/978-3-030-31351-7_18
  bibtex

  @INCOLLECTION{FerreiraLouzeiroPrudente:2020:1,
    AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro},
    PUBLISHER = {Springer International Publishing},
    BOOKTITLE = {Handbook of Variational Methods for Nonlinear Geometric Data},
    DATE = {2020},
    DOI = {10.1007/978-3-030-31351-7_18},
    PAGES = {499--525},
    TITLE = {First order methods for optimization on Riemannian manifolds},
  }

• Orizon Ferreira, Maurício Louzeiro and Leandro Prudente
  Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
  Journal of Optimization Theory and Applications 184(2), p.507-533, 2019
  
  doi:10.1007/s10957-019-01615-7
  bibtex

  @ARTICLE{FerreiraLouzeiroPrudente:2019:2,
    AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2019-12},
    DOI = {10.1007/s10957-019-01615-7},
    JOURNALTITLE = {Journal of Optimization Theory and Applications},
    NUMBER = {2},
    PAGES = {507--533},
    TITLE = {Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds},
    VOLUME = {184},
  }

• Orizon Ferreira, Maurício Louzeiro and Leandro Prudente
  Gradient method for optimization on Riemannian manifolds with lower bounded curvature
  SIAM Journal on Optimization 29(4), p.2517-2541, 2019
  
  doi:10.1137/18M1180633
  bibtex

  @ARTICLE{FerreiraLouzeiroPrudente:2019:1,
    AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro},
    DATE = {2019},
    DOI = {10.1137/18M1180633},
    JOURNALTITLE = {SIAM Journal on Optimization},
    NUMBER = {4},
    PAGES = {2517--2541},
    TITLE = {Gradient method for optimization on Riemannian manifolds with lower bounded curvature},
    VOLUME = {29},
  }