Benar Fux Svaiter

Orcid: 0000-0003-3656-9883

Affiliations:
  • National Institute for Pure and Applied Mathematics, Rio de Janeiro, Brazil


According to our database1, Benar Fux Svaiter authored at least 61 papers between 1994 and 2024.

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Bibliography

2024
A Search-Free \({O(1/{k}^{3/2})}\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities.
SIAM J. Optim., 2024

2021
Inexact Cuts in Stochastic Dual Dynamic Programming Applied to Multistage Stochastic Nondifferentiable Problems.
SIAM J. Optim., 2021

2020
On a family of gradient type projection methods for nonlinear ill-posed problems.
CoRR, 2020

Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method.
CoRR, 2020

On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations.
CoRR, 2020

Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method.
CoRR, 2020

2019
A simplified proof of weak convergence in Douglas-Rachford method.
Oper. Res. Lett., 2019

A Further Study on Asymptotic Functions via Variational Analysis.
J. Optim. Theory Appl., 2019

2018
The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous.
Oper. Res. Lett., 2018

2016
Regularized HPE-Type Methods for Solving Monotone Inclusions with Improved Pointwise Iteration-Complexity Bounds.
SIAM J. Optim., 2016

A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods.
Math. Program., 2016

A Variant of the Hybrid Proximal Extragradient Method for Solving Strongly Monotone Inclusions and its Complexity Analysis.
J. Optim. Theory Appl., 2016

An adaptive accelerated first-order method for convex optimization.
Comput. Optim. Appl., 2016

Algebraic rules for computing the regularization parameter of the Levenberg-Marquardt method.
Comput. Optim. Appl., 2016

2015
A Hybrid Proximal Extragradient Self-Concordant Primal Barrier Method for Monotone Variational Inequalities.
SIAM J. Optim., 2015

Diffusion Methods for Classification with Pairwise Relationships.
CoRR, 2015

Algebraic rules for quadratic regularization of Newton's method.
Comput. Optim. Appl., 2015

2014
On the behaviour of constrained optimization methods when Lagrange multipliers do not exist.
Optim. Methods Softw., 2014

A first-order block-decomposition method for solving two-easy-block structured semidefinite programs.
Math. Program. Comput., 2014

A Class of Fejér Convergent Algorithms, Approximate Resolvents and the Hybrid Proximal-Extragradient Method.
J. Optim. Theory Appl., 2014

Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces.
J. Optim. Theory Appl., 2014

Implementation of a block-decomposition algorithm for solving large-scale conic semidefinite programming problems.
Comput. Optim. Appl., 2014

2013
An Accelerated Hybrid Proximal Extragradient Method for Convex Optimization and Its Implications to Second-Order Methods.
SIAM J. Optim., 2013

Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers.
SIAM J. Optim., 2013

A non-type (D) operator in c<sub>0</sub>.
Math. Program., 2013

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods.
Math. Program., 2013

Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces.
J. Optim. Theory Appl., 2013

2012
Iteration-Complexity of a Newton Proximal Extragradient Method for Monotone Variational Inequalities and Inclusion Problems.
SIAM J. Optim., 2012

A robust Kantorovich's theorem on the inexact Newton method with relative residual error tolerance.
J. Complex., 2012

2011
Complexity of Variants of Tseng's Modified F-B Splitting and Korpelevich's Methods for Hemivariational Inequalities with Applications to Saddle-point and Convex Optimization Problems.
SIAM J. Optim., 2011

On Weak Convergence of the Douglas-Rachford Method.
SIAM J. Control. Optim., 2011

A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions.
SIAM J. Control. Optim., 2011

Weber-Fechner Law and the Optimality of the Logarithmic Scale.
Minds Mach., 2011

2010
On the Complexity of the Hybrid Proximal Extragradient Method for the Iterates and the Ergodic Mean.
SIAM J. Optim., 2010

A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences.
SIAM J. Optim., 2010

Addressing the greediness phenomenon in Nonlinear Programming by means of Proximal Augmented Lagrangians.
Comput. Optim. Appl., 2010

2009
Newton's Method for Multiobjective Optimization.
SIAM J. Optim., 2009

General Projective Splitting Methods for Sums of Maximal Monotone Operators.
SIAM J. Control. Optim., 2009

Analytic center of spherical shells and its application to analytic center machine.
Comput. Optim. Appl., 2009

Kantorovich's majorants principle for Newton's method.
Comput. Optim. Appl., 2009

2008
A family of projective splitting methods for the sum of two maximal monotone operators.
Math. Program., 2008

On the choice of parameters for the weighting method in vector optimization.
Math. Program., 2008

A computational model for telomere-dependent cell-replicative aging.
Biosyst., 2008

2005
Proximal Methods in Vector Optimization.
SIAM J. Optim., 2005

An Outer Approximation Method for the Variational Inequality Problem.
SIAM J. Control. Optim., 2005

2004
Some Inexact Hybrid Proximal Augmented Lagrangian Algorithms.
Numer. Algorithms, 2004

2003
Inexact Variants of the Proximal Point Algorithm without Monotonicity.
SIAM J. Optim., 2003

Solving monotone inclusions with linear multi-step methods.
Math. Program., 2003

2002
A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities.
Optim. Methods Softw., 2002

Kantorovich's Theorem on Newton's Method in Riemannian Manifolds.
J. Complex., 2002

Relaxed Steepest Descent and Cauchy-Barzilai-Borwein Method.
Comput. Optim. Appl., 2002

2001
On the need for hybrid steps in hybrid proximal point methods.
Oper. Res. Lett., 2001

A Relative Error Tolerance for a Family of Generalized Proximal Point Methods.
Math. Oper. Res., 2001

2000
A Truly Globally Convergent Newton-Type Method for the Monotone Nonlinear Complementarity Problem.
SIAM J. Optim., 2000

On the central path for nonlinear semidefinite programming.
RAIRO Oper. Res., 2000

Error bounds for proximal point subproblems and associated inexact proximal point algorithms.
Math. Program., 2000

Forcing strong convergence of proximal point iterations in a Hilbert space.
Math. Program., 2000

An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions.
Math. Oper. Res., 2000

Steepest descent methods for multicriteria optimization.
Math. Methods Oper. Res., 2000

1994
A row-action method for convex programming.
Math. Program., 1994

Entropy-Like Proximal Methods in Convex Programming.
Math. Oper. Res., 1994


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