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- Orizon Pereira Ferreira, Benar Fux Svaiter
- J. Complexity
- 2002

- Edvaldo E. A. Batista, Glaydston de Carvalho Bento, Orizon Pereira Ferreira
- J. Optimization Theory and Applications
- 2015

- João X. da Cruz Neto, Orizon Pereira Ferreira, L. R. Lucambio Pérez, Sandor Z. Németh
- J. Global Optimization
- 2006

The problem of finding singularities of monotone vectors fields on Hadamard manifolds will be considered and solved by extending the well-known proximal point algorithm. For monotone vector fields the algorithm will generate a well defined sequence, and for monotone vector fields with singularities it will converge to a singularity. It will be also shown… (More)

- Orizon Pereira Ferreira, Benar Fux Svaiter
- Comp. Opt. and Appl.
- 2009

We prove Kantorovich’s theorem on Newton’s method using a convergence analysis which makes clear, with respect to Newton’s Method, the relationship of the majorant function and the non-linear operator under consideration. This approach enable us to drop out the assumption of existence of a second root for the majorant function, still guaranteeing… (More)

- Orizon Pereira Ferreira, M. L. N. Gonçalves, P. Roberto Oliveira
- J. Complexity
- 2011

- Orizon Pereira Ferreira, M. L. N. Gonçalves
- Comp. Opt. and Appl.
- 2011

We provide a local convergence analysis of inexact Newton–like methods in a Banach space setting under flexible majorant conditions. By introducing center–Lipschitz–type condition, we provide (under the same computational cost) a convergence analysis with the following advantages over earlier work [9]: finer error bounds on the distances involved, and a… (More)

- Orizon Pereira Ferreira
- J. Computational Applied Mathematics
- 2011

- Orizon Pereira Ferreira, Benar Fux Svaiter
- J. Complexity
- 2012

We prove that under semi-local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q-linearly to a zero of the non-linear operator under consideration. Using this result we show that Newton method for minimizing a self-concordant function or to find a zero of an analytic function can be implemented with a fixed… (More)

- Orizon Pereira Ferreira, Alfredo N. Iusem, Sandor Z. Németh
- J. Global Optimization
- 2013

In this paper some concepts of convex analysis are extended in an intrinsic way from the Euclidean space to the sphere. In particular, relations between convex sets in the sphere and pointed convex cones are presented. Several characterizations of the usual projection onto a Euclidean convex set are extended to the sphere and an extension of Moreau’s… (More)

- João X. da Cruz Neto, Orizon Pereira Ferreira, Renato D. C. Monteiro
- Math. Program.
- 2005

This paper studies the asymptotic behavior of the central path (X(ν), S(ν), y(ν)) as ν ↓ 0 for a class of degenerate semidefinite programming (SDP) problems, namely those that do not have strictly complementary primal-dual optimal solutions and whose “degenerate diagonal blocks” XT (ν) and ST (ν) of the central path are assumed to satisfy max{‖XT (ν)‖, ‖ST… (More)