Kantorovich's Theorem on Newton's Method in Riemannian Manifolds. - Orizon Pereira Ferreira; Benar Fux Svaiter (J. Complex., 2002)

Singularities of Monotone Vector Fields and an Extragradient-type Algorithm. - Orizon Pereira Ferreira; L. R. Lucambio Pérez; Sándor Zoltán Németh (J. Glob. Optim., 2005)

Asymptotic behavior of the central path for a special class of degenerate SDP problems. - João Xavier da Cruz Neto; Orizon Pereira Ferreira; Renato D. C. Monteiro (Math. Program., 2005)

Convex- and Monotone-Transformable Mathematical Programming Problems and a Proximal-Like Point Method. - João Xavier da Cruz Neto; Orizon Pereira Ferreira; L. R. Lucambio Pérez; Sándor Zoltán Németh (J. Glob. Optim., 2006)

Dual convergence of the proximal point method with Bregman distances for linear programming. - João Xavier da Cruz Neto; Orizon Pereira Ferreira; Alfredo N. Iusem; Renato D. C. Monteiro (Optim. Methods Softw., 2007)

Kantorovich's majorants principle for Newton's method. - Orizon Pereira Ferreira; Benar Fux Svaiter (Comput. Optim. Appl., 2009)

On the convergence of the entropy-exponential penalty trajectories and generalized proximal point methods in semidefinite optimization. - Orizon Pereira Ferreira; P. Roberto Oliveira; Roberto Cristóvão Mesquita Silva (J. Glob. Optim., 2009)

Local convergence analysis of inexact Newton-like methods under majorant condition. - Orizon Pereira Ferreira; Max L. N. Gonçalves (Comput. Optim. Appl., 2011)

Local convergence analysis of the Gauss-Newton method under a majorant condition. - Orizon Pereira Ferreira; Max L. N. Gonçalves; P. Roberto Oliveira (J. Complex., 2011)

Local convergence of Newton's method under majorant condition. - Orizon Pereira Ferreira (J. Comput. Appl. Math., 2011)

A robust Kantorovich's theorem on the inexact Newton method with relative residual error tolerance. - Orizon Pereira Ferreira; Benar Fux Svaiter (J. Complex., 2012)

Local convergence analysis of inexact Gauss-Newton like methods under majorant condition. - Orizon Pereira Ferreira; Max L. N. Gonçalves; P. Roberto Oliveira (J. Comput. Appl. Math., 2012)

Generalized projections onto convex sets. - Orizon Pereira Ferreira; Sándor Zoltán Németh (J. Glob. Optim., 2012)

Unconstrained Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds. - Glaydston de Carvalho Bento; Orizon Pereira Ferreira; P. Roberto Oliveira (J. Optim. Theory Appl., 2012)

A subgradient method for multiobjective optimization. - João Xavier da Cruz Neto; G. J. P. Da Silva; Orizon Pereira Ferreira; Jurandir O. Lopes (Comput. Optim. Appl., 2013)

Projections onto convex sets on the sphere. - Orizon Pereira Ferreira; Alfredo N. Iusem; Sándor Zoltán Németh (J. Glob. Optim., 2013)

Convergence of the Gauss-Newton Method for Convex Composite Optimization under a Majorant Condition. - Orizon Pereira Ferreira; Max L. N. Gonçalves; P. Roberto Oliveira (SIAM J. Optim., 2013)

Local convergence analysis of Inexact Newton method with relative residual error tolerance under majorant condition in Riemannian manifolds. - Tiberio Bittencourt; Orizon Pereira Ferreira (Appl. Math. Comput., 2015)

A robust semi-local convergence analysis of Newton's method for cone inclusion problems in Banach spaces under affine invariant majorant condition. - Orizon Pereira Ferreira (J. Comput. Appl. Math., 2015)

An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifolds. - Edvaldo E. A. Batista; Glaydston de Carvalho Bento; Orizon Pereira Ferreira (J. Optim. Theory Appl., 2015)

Projection onto simplicial cones by a semi-smooth Newton method. - Orizon Pereira Ferreira; Sándor Zoltán Németh (Optim. Lett., 2015)

On the global convergence of the inexact semi-smooth Newton method for absolute value equation. - José Yunier Bello Cruz; Orizon Pereira Ferreira; Leandro da Fonseca Prudente (Comput. Optim. Appl., 2016)

A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming. - J. G. Barrios; José Yunier Bello Cruz; Orizon P. Ferreira; Sándor Zoltán Németh (J. Comput. Appl. Math., 2016)

Enlargement of Monotone Vector Fields and an Inexact Proximal Point Method for Variational Inequalities in Hadamard Manifolds. - Edvaldo E. A. Batista; Glaydston de Carvalho Bento; Orizon P. Ferreira (J. Optim. Theory Appl., 2016)

Kantorovich's theorem on Newton's method under majorant condition in Riemannian manifolds. - Tiberio Bittencourt; Orizon Pereira Ferreira (J. Glob. Optim., 2017)

Iteration-Complexity of Gradient, Subgradient and Proximal Point Methods on Riemannian Manifolds. - Glaydston de Carvalho Bento; Orizon P. Ferreira; Jefferson G. Melo (J. Optim. Theory Appl., 2017)

On the Superlinear Convergence of Newton's Method on Riemannian Manifolds. - Teles A. Fernandes; Orizon P. Ferreira; Jinyun Yuan (J. Optim. Theory Appl., 2017)

Metrically Regular Vector Field and Iterative Processes for Generalized Equations in Hadamard Manifolds. - Orizon P. Ferreira; Célia Jean-Alexis; Alain Piétrus (J. Optim. Theory Appl., 2017)

Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation. - Orizon Pereira Ferreira; Gilson N. Silva (SIAM J. Optim., 2017)

How to project onto extended second order cones. - Orizon Pereira Ferreira; Sándor Zoltán Németh (J. Glob. Optim., 2018)

Inexact Multi-Objective Local Search Proximal Algorithms: Application to Group Dynamic and Distributive Justice Problems. - Glaydston de Carvalho Bento; Orizon Pereira Ferreira; Antoine Soubeyran; Valdinês Leite de Sousa Júnior (J. Optim. Theory Appl., 2018)

Proximal point method for a special class of nonconvex multiobjective optimization functions. - Glaydston de Carvalho Bento; Orizon Pereira Ferreira; Valdinês Leite de Sousa Júnior (Optim. Lett., 2018)

Proximal point method for vector optimization on Hadamard manifolds. - Glaydston de Carvalho Bento; Orizon P. Ferreira; Yuri Rafael Leite Pereira (Oper. Res. Lett., 2018)

Newton's method with feasible inexact projections for solving constrained generalized equations. - Fabiana R. de Oliveira; Orizon P. Ferreira; Gilson N. Silva (Comput. Optim. Appl., 2019)

On the spherical convexity of quadratic functions. - Orizon Pereira Ferreira; Sándor Zoltán Németh (J. Glob. Optim., 2019)

Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature. - Orizon P. Ferreira; Maurício Silva Louzeiro; Leandro da Fonseca Prudente (SIAM J. Optim., 2019)

On the globalization of Riemannian Newton method. - Márcio Antônio de Andrade Bortoloti; Teles Araujo Fernandes; Orizon Pereira Ferreira (CoRR, 2020)

Damped Newton's method on Riemannian manifolds. - Márcio Antônio de Andrade Bortoloti; Teles A. Fernandes; Orizon P. Ferreira; Jinyun Yuan (J. Glob. Optim., 2020)

Iteration-Complexity and Asymptotic Analysis of Steepest Descent Method for Multiobjective Optimization on Riemannian Manifolds. - Orizon P. Ferreira; Maurício Silva Louzeiro; Leandro da Fonseca Prudente (J. Optim. Theory Appl., 2020)

On the Spherical Quasi-convexity of Quadratic Functions on Spherically Subdual Convex Sets. - Orizon Pereira Ferreira; Sándor Zoltán Németh; Lianghai Xiao (J. Optim. Theory Appl., 2020)

Newton Method for Finding a Singularity of a Special Class of Locally Lipschitz Continuous Vector Fields on Riemannian Manifolds. - Fabiana R. de Oliveira; Orizon P. Ferreira (J. Optim. Theory Appl., 2020)

Conditional gradient method for multiobjective optimization. - P. B. Assunção; Orizon Pereira Ferreira; Leandro da Fonseca Prudente (Comput. Optim. Appl., 2021)

Alternating conditional gradient method for convex feasibility problems. - R. Díaz Millán; Orizon P. Ferreira; Leandro da Fonseca Prudente (Comput. Optim. Appl., 2021)

Newton's Method with GeoGebra. - Orizon P. Ferreira; Davi A. Pires (CoRR, 2021)

On the inexact scaled gradient projection method. - Orizon Pereira Ferreira; Max Lemes; Leandro da Fonseca Prudente (Comput. Optim. Appl., 2022)

An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds. - Márcio Antônio de Andrade Bortoloti; Teles A. Fernandes; Orizon P. Ferreira (J. Comput. Appl. Math., 2022)

Frank-Wolfe algorithm for DC optimization problem. - R. Díaz Millán; Orizon P. Ferreira; Julien Ugon (CoRR, 2023)

On Newton's method for solving generalized equations. - Orizon P. Ferreira; Célia Jean-Alexis; Alain Piétrus; Gilson N. Silva (J. Complex., 2023)

Inexact gradient projection method with relative error tolerance. - Ademir Alves Aguiar; Orizon Pereira Ferreira; Leandro da Fonseca Prudente (Comput. Optim. Appl., 2023)

A subgradient method with non-monotone line search. - Orizon Pereira Ferreira; Geovani Nunes Grapiglia; Elianderson M. Santos; João Carlos de Oliveira Souza (Comput. Optim. Appl., 2023)

Approximate Douglas-Rachford algorithm for two-sets convex feasibility problems. - R. Díaz Millán; Orizon Pereira Ferreira; Julien Ugon (J. Glob. Optim., 2023)

Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space. - Orizon P. Ferreira; Sándor Zoltán Németh; Jinzhen Zhu (J. Optim. Theory Appl., 2023)

Image denoising with a non-monotone boosted DCA for non-convex models. - Orizon Pereira Ferreira; Ricardo de Andrade Lira Rabelo; Pedro H. A. Ribeiro; Elianderson M. Santos; João Carlos de Oliveira Souza (Comput. Electr. Eng., 2024)

Constraint Qualifications and Strong Global Convergence Properties of an Augmented Lagrangian Method on Riemannian Manifolds. - Roberto Andreani; Kelvin R. Couto; Orizon P. Ferreira; Gabriel Haeser (SIAM J. Optim., 2024)

Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems. - P. C. da Silva; Orizon Pereira Ferreira; Leonardo D. Secchin; Gilson N. Silva (J. Comput. Appl. Math., 2024)

The Difference of Convex Algorithm on Hadamard Manifolds. - Ronny Bergmann; Orizon P. Ferreira; Elianderson M. Santos; João Carlos de Oliveira Souza (J. Optim. Theory Appl., 2024)

A boosted DC algorithm for non-differentiable DC components with non-monotone line search. - Orizon P. Ferreira; Elianderson M. Santos; João Carlos de Oliveira Souza (Comput. Optim. Appl., 2024)

Convexity of Sets and Quadratic Functions on the Hyperbolic Space. - Orizon P. Ferreira; Sándor Zoltán Németh; Jinzhen Zhu (J. Optim. Theory Appl., 2024)

Gradient projection method on the sphere, complementarity problems and copositivity. - Orizon Pereira Ferreira; Yingchao Gao; Sándor Zoltán Németh; Petra Renáta Rigó (J. Glob. Optim., 2024)

Extragradient method with feasible inexact projection to variational inequality problem. - R. Díaz Millán; Orizon Pereira Ferreira; Julien Ugon (Comput. Optim. Appl., 2024)

On projection mappings and the gradient projection method on hyperbolic space forms. - Ronny Bergmann; Orizon P. Ferreira; Sándor Zoltán Németh; Jinzhen Zhu (CoRR, 2025)