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20082026
most citedConvergence rate bounds for a proximal ADMM with over-relaxation stepsize parameter for solving nonconvex linearly constrained problems

35 citations · 48 across the 12 of their papers we have counts for

collaborators

16 papers

math.OC2026

Projected Gradient Method on Hadamard Manifolds

O. P. Ferreira, M. L. N. Gonçalves, A. M. González +1

We study constrained smooth optimization problems on Hadamard manifolds with closed geodesically convex feasible sets. We analyze two projected gradient schemes: one with a constan…

math.OC2020★ 1 cited

An inexact version of the symmetric proximal ADMM for solving separable convex optimization

Vando A. Adona, Max L. N. Gonçalves

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization…

math.OC2017

An Inexact Newton-like conditional gradient method for constrained nonlinear systems

M. L. N. Goncalves, F. R. Oliveira

In this paper, we propose an inexact Newton-like conditional gradient method for solving constrained systems of nonlinear equations. The local convergence of the new method as well…

math.OC2017★ 1 cited

Iteration-complexity analysis of a generalized alternating direction method of multipliers

V. A. Adona, M. L. N. Goncalves, J. G. Melo

This paper analyzes the iteration-complexity of a generalized alternating direction method of multipliers (G-ADMM) for solving linearly constrained convex problems. This ADMM varia…

math.OC2017★ 1 cited

On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize

M. L. N. Goncalves

In this paper, we extend the improved pointwise iteration-complexity result of a dynamic regularized alternating direction method of multipliers (ADMM) for a new stepsize domain. I…

math.OC2017

Pointwise and ergodic convergence rates of a variable metric proximal ADMM

Max L. N. Goncalves, Jefferson G. Melo, M. Marques Alves

In this paper, we obtain global pointwise and ergodic convergence rates for a variable metric proximal alternating direction meth…

math.OC2017★ 35 cited

Convergence rate bounds for a proximal ADMM with over-relaxation stepsize parameter for solving nonconvex linearly constrained problems

Max L. N. Goncalves, Jefferson G. Melo, Renato D. C. Monteiro

This paper establishes convergence rate bounds for a variant of the proximal alternating direction method of multipliers (ADMM) for solving nonconvex linearly constrained optimizat…

math.OC2016★ 5 cited

Extending the ergodic convergence rate of the proximal ADMM

Max L. N. Goncalves, Jefferson G. Melo, Renato D. C. Monteiro

Pointwise and ergodic iteration-complexity results for the proximal alternating direction method of multipliers (ADMM) for any stepsize in(0,(1+\sqrt{5})/2) have been recently esta…

math.OC2016

A Newton conditional gradient method for constrained nonlinear systems

Max L. N. Goncalves, Jefferson G. Melo

In this paper, we consider the problem of solving a constrained system of nonlinear equations. We propose an algorithm based on a combination of the Newton and conditional gradient…

math.OC2016

Improved pointwise iteration-complexity of a regularized ADMM and of a regularized non-Euclidean HPE framework

Max L. N. Goncalves, Jefferson G. Melo, Renato D. C. Monteiro

This paper describes a regularized variant of the alternating direction method of multipliers (ADMM) for solving linearly constrained convex programs. It is shown that the pointwis…

math.OC2013

Local convergence of inexact Gauss-Newton like methods for injective-overdetermined systems of equations under a majorant condition

M. L. N. Goncalves

In this paper, inexact Gauss-Newton like methods for solving injective-overdetermined systems of equations are studied. We use a majorant condition, defined by a function whose der…

math.OC2012

Convergence of the Gauss-Newton method for a special class of systems of equations under a majorant condition

Max L. N. Gonçalves, Paulo R. Oliveira

In this paper, we study the Gauss-Newton method for a special class of systems of nonlinear equation. Under the hypothesis that the derivative of the function under consideration s…

math.OC2012

Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition

Max Leandro Nobre Goncalves

A local convergence analysis of the Gauss-Newton method for solving injective-overdetermined systems of nonlinear equations under a majorant condition is provided. The convergence…

math.OC2010

Local convergence analysis of inexact Gauss-Newton like methods under majorant condition

O. P. Ferreira, M. L. N. Goncalves, P. R. Oliveira

In this paper, we present a local convergence analysis of inexact Gauss-Newton like methods for solving nonlinear least squares problems. Under the hypothesis that the derivative o…

math.OC2010★ 5 cited

Local convergence analysis of Gauss-Newton's method under majorant condition

O. P. Ferreira, M. L. N. Goncalves, P. R. Oliveira

The Gauss-Newton's method for solving nonlinear least squares problems is studied in this paper. Under the hypothesis that the derivative of the function associated with the least…

math.NA2008

Local convergence analysis of inexact Newton-like methods under majorant condition

O. P. Ferreira, M. L. N. Goncalves

We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations under majorant conditions. This analysis provides an estimate of the converge…