Ferreira, Orizon P.; Louzeiro, Maurício S.; Prudente, Leandro F. First order methods for optimization on Riemannian manifolds. (English) Zbl 1512.90165 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 499-525 (2020). MSC: 90C25 90C48 58E50 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., in: Handbook of variational methods for nonlinear geometric data. Cham: Springer. 499--525 (2020; Zbl 1512.90165) Full Text: DOI
de Oliveira, F. R.; Ferreira, O. P. Inexact Newton method with feasible inexact projections for solving constrained smooth and nonsmooth equations. (English) Zbl 1435.65094 Appl. Numer. Math. 156, 63-76 (2020). MSC: 65K05 90C30 65H10 90C33 PDFBibTeX XMLCite \textit{F. R. de Oliveira} and \textit{O. P. Ferreira}, Appl. Numer. Math. 156, 63--76 (2020; Zbl 1435.65094) Full Text: DOI arXiv
Ferreira, Orizon P.; Louzeiro, Mauricio S.; Prudente, Leandro F. Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds. (English) Zbl 1432.90137 J. Optim. Theory Appl. 184, No. 2, 507-533 (2020). MSC: 90C29 90C33 65K05 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., J. Optim. Theory Appl. 184, No. 2, 507--533 (2020; Zbl 1432.90137) Full Text: DOI arXiv
Ferreira, O. P.; Louzeiro, Mauricio Silva; Prudente, L. F. Gradient method for optimization on Riemannian manifolds with lower bounded curvature. (English) Zbl 1429.90051 SIAM J. Optim. 29, No. 4, 2517-2541 (2019). MSC: 90C25 49M37 90C30 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., SIAM J. Optim. 29, No. 4, 2517--2541 (2019; Zbl 1429.90051) Full Text: DOI arXiv
Ferreira, O. P.; Silva, G. N. Local convergence analysis of Newton’s method for solving strongly regular generalized equations. (English) Zbl 1376.65089 J. Math. Anal. Appl. 458, No. 1, 481-496 (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{O. P. Ferreira} and \textit{G. N. Silva}, J. Math. Anal. Appl. 458, No. 1, 481--496 (2018; Zbl 1376.65089) Full Text: DOI arXiv
Ferreira, Orizon P.; Jean-Alexis, Célia; Piétrus, Alain Metrically regular vector field and iterative processes for generalized equations in Hadamard manifolds. (English) Zbl 1387.90241 J. Optim. Theory Appl. 175, No. 3, 624-651 (2017). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., J. Optim. Theory Appl. 175, No. 3, 624--651 (2017; Zbl 1387.90241) Full Text: DOI
Bittencourt, T.; Ferreira, O. P. Kantorovich’s theorem on Newton’s method under majorant condition in Riemannian manifolds. (English) Zbl 1408.90316 J. Glob. Optim. 68, No. 2, 387-411 (2017). MSC: 90C48 90C53 PDFBibTeX XMLCite \textit{T. Bittencourt} and \textit{O. P. Ferreira}, J. Glob. Optim. 68, No. 2, 387--411 (2017; Zbl 1408.90316) Full Text: DOI arXiv
Bento, Glaydston C.; Ferreira, Orizon P.; Melo, Jefferson G. Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds. (English) Zbl 1400.90277 J. Optim. Theory Appl. 173, No. 2, 548-562 (2017). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{G. C. Bento} et al., J. Optim. Theory Appl. 173, No. 2, 548--562 (2017; Zbl 1400.90277) Full Text: DOI arXiv
Bento, G. C.; Ferreira, O. P.; Oliveira, P. R. Unconstrained steepest descent method for multicriteria optimization on Riemannian manifolds. (English) Zbl 1263.90082 J. Optim. Theory Appl. 154, No. 1, 88-107 (2012). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C29 PDFBibTeX XMLCite \textit{G. C. Bento} et al., J. Optim. Theory Appl. 154, No. 1, 88--107 (2012; Zbl 1263.90082) Full Text: DOI arXiv
Bento, G. C.; Ferreira, O. P.; Oliveira, P. R. Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds. (English) Zbl 1282.49023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 564-572 (2010). MSC: 49M30 90C26 PDFBibTeX XMLCite \textit{G. C. Bento} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 564--572 (2010; Zbl 1282.49023) Full Text: DOI arXiv
da Cruz Neto, J. X.; Ferreira, O. P.; Oliveira, P. R.; Silva, R. C. M. Central paths in semidefinite programming, generalized proximal-point method and Cauchy trajectories in Riemannian manifolds. (English) Zbl 1194.90068 J. Optim. Theory Appl. 139, No. 2, 227-242 (2008). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C22 90C25 PDFBibTeX XMLCite \textit{J. X. da Cruz Neto} et al., J. Optim. Theory Appl. 139, No. 2, 227--242 (2009; Zbl 1194.90068) Full Text: DOI
Ferreira, O. P. Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds. (English) Zbl 1140.49012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 6, 1517-1528 (2008). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49J52 58C07 58C20 90C30 PDFBibTeX XMLCite \textit{O. P. Ferreira}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 6, 1517--1528 (2008; Zbl 1140.49012) Full Text: DOI
Ferreira, Orizon P. Convexity with respect to a differential equation. (English) Zbl 1097.34012 J. Math. Anal. Appl. 315, No. 2, 626-641 (2006). Reviewer: J. Banaś (Rzeszów) MSC: 34A99 34C99 90C99 PDFBibTeX XMLCite \textit{O. P. Ferreira}, J. Math. Anal. Appl. 315, No. 2, 626--641 (2006; Zbl 1097.34012) Full Text: DOI
Ferreira, Orizon P. Proximal subgradient and a characterization of Lipschitz function on Riemannian manifolds. (English) Zbl 1089.58005 J. Math. Anal. Appl. 313, No. 2, 587-597 (2006). MSC: 58C99 49J52 26B05 49J45 PDFBibTeX XMLCite \textit{O. P. Ferreira}, J. Math. Anal. Appl. 313, No. 2, 587--597 (2006; Zbl 1089.58005) Full Text: DOI