A Search-Free \({O(1/{k}^{3/2})}\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities - Maicon Marques Alves; João M. Pereira; Benar Fux Svaiter (SIAM J. Optim., 2024)

Inexact Cuts in Stochastic Dual Dynamic Programming Applied to Multistage Stochastic Nondifferentiable Problems - Vincent Guigues; Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2021)

Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method - Romana Boiger; A. Leitao; Benar Fux Svaiter (CoRR, 2020)

On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations - A. Leitao; Benar Fux Svaiter (CoRR, 2020)

Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method - A. Leitao; Fábio Margotti; Benar Fux Svaiter (CoRR, 2020)

On a family of gradient type projection methods for nonlinear ill-posed problems - A. Leitao; Benar Fux Svaiter (CoRR, 2020)

A Further Study on Asymptotic Functions via Variational Analysis - Felipe Lara; Rubén López; Benar Fux Svaiter (J. Optim. Theory Appl., 2019)

A simplified proof of weak convergence in Douglas-Rachford method - Benar Fux Svaiter (Oper. Res. Lett., 2019)

The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous - Benar Fux Svaiter (Oper. Res. Lett., 2018)

An adaptive accelerated first-order method for convex optimization - Renato D. C. Monteiro; Camilo Ortiz; Benar Fux Svaiter (Comput. Optim. Appl., 2016)

Algebraic rules for computing the regularization parameter of the Levenberg-Marquardt method - Elizabeth W. Karas; Sandra A. Santos; Benar Fux Svaiter (Comput. Optim. Appl., 2016)

A Variant of the Hybrid Proximal Extragradient Method for Solving Strongly Monotone Inclusions and its Complexity Analysis - Maicon Marques Alves; Benar Fux Svaiter (J. Optim. Theory Appl., 2016)

A note on Fejér-monotone sequences in product spaces and its applications to the dual convergence of augmented Lagrangian methods - Maicon Marques Alves; Benar Fux Svaiter (Math. Program., 2016)

Regularized HPE-Type Methods for Solving Monotone Inclusions with Improved Pointwise Iteration-Complexity Bounds - Maicon Marques Alves; Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2016)

Algebraic rules for quadratic regularization of Newton's method - Elizabeth W. Karas; Sandra A. Santos; Benar Fux Svaiter (Comput. Optim. Appl., 2015)

A Hybrid Proximal Extragradient Self-Concordant Primal Barrier Method for Monotone Variational Inequalities - Renato D. C. Monteiro; Mauricio Romero Sicre; Benar Fux Svaiter (SIAM J. Optim., 2015)

Diffusion Methods for Classification with Pairwise Relationships - Pedro Felipe Felzenszwalb; Benar Fux Svaiter (CoRR, 2015)

Implementation of a block-decomposition algorithm for solving large-scale conic semidefinite programming problems - Renato D. C. Monteiro; Camilo Ortiz; Benar Fux Svaiter (Comput. Optim. Appl., 2014)

Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces - Boushra Abbas; Hédy Attouch; Benar Fux Svaiter (J. Optim. Theory Appl., 2014)

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

A first-order block-decomposition method for solving two-easy-block structured semidefinite programs - Renato D. C. Monteiro; Camilo Ortiz; Benar Fux Svaiter (Math. Program. Comput., 2014)

On the behaviour of constrained optimization methods when Lagrange multipliers do not exist - Roberto Andreani; José Mario Martínez; Lúcio Tunes Santos; Benar Fux Svaiter (Optim. Methods Softw., 2014)

Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces - Hédy Attouch; Patrick Redont; Benar Fux Svaiter (J. Optim. Theory Appl., 2013)

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods - Hédy Attouch; Jérôme Bolte; Benar Fux Svaiter (Math. Program., 2013)

A non-type (D) operator in c\(_0\) - Orestes Bueno; Benar Fux Svaiter (Math. Program., 2013)

Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers - Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2013)

An Accelerated Hybrid Proximal Extragradient Method for Convex Optimization and Its Implications to Second-Order Methods - Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2013)

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

Iteration-Complexity of a Newton Proximal Extragradient Method for Monotone Variational Inequalities and Inclusion Problems - Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2012)

Weber-Fechner Law and the Optimality of the Logarithmic Scale - R. D. Portugal; Benar Fux Svaiter (Minds Mach., 2011)

On Weak Convergence of the Douglas-Rachford Method - Benar Fux Svaiter (SIAM J. Control. Optim., 2011)

A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions - Hédy Attouch; Benar Fux Svaiter (SIAM J. Control. Optim., 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 - Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2011)

Addressing the greediness phenomenon in Nonlinear Programming by means of Proximal Augmented Lagrangians - Emerson V. Castelani; André L. M. Martinez; José Mario Martínez; Benar Fux Svaiter (Comput. Optim. Appl., 2010)

On the Complexity of the Hybrid Proximal Extragradient Method for the Iterates and the Ergodic Mean - Renato D. C. Monteiro; Benar Fux Svaiter (SIAM J. Optim., 2010)

A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences - Roberto Andreani; José Mario Martínez; Benar Fux Svaiter (SIAM J. Optim., 2010)

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

Analytic center of spherical shells and its application to analytic center machine - Fernanda M. P. Raupp; Benar Fux Svaiter (Comput. Optim. Appl., 2009)

General Projective Splitting Methods for Sums of Maximal Monotone Operators - Jonathan Eckstein; Benar Fux Svaiter (SIAM J. Control. Optim., 2009)

Newton's Method for Multiobjective Optimization - Jörg Fliege; L. Mauricio Graña Drummond; Benar Fux Svaiter (SIAM J. Optim., 2009)

A computational model for telomere-dependent cell-replicative aging - R. D. Portugal; Marcelo G. Land; Benar Fux Svaiter (Biosyst., 2008)

A family of projective splitting methods for the sum of two maximal monotone operators - Jonathan Eckstein; Benar Fux Svaiter (Math. Program., 2008)

On the choice of parameters for the weighting method in vector optimization - L. Mauricio Graña Drummond; Nelson Maculan; Benar Fux Svaiter (Math. Program., 2008)

On the choice of parameters for the weighting method in vector optimization - L. Mauricio Graña Drummond; Nelson Maculan; Benar Fux Svaiter (Math. Program., 2008)

An Outer Approximation Method for the Variational Inequality Problem - Regina Sandra Burachik; J. O. Lopes; Benar Fux Svaiter (SIAM J. Control. Optim., 2005)

Proximal Methods in Vector Optimization - Henri Bonnel; Alfredo N. Iusem; Benar Fux Svaiter (SIAM J. Optim., 2005)

Some Inexact Hybrid Proximal Augmented Lagrangian Algorithms - Carlos Humes Jr.; Paulo J. S. Silva; Benar Fux Svaiter (Numer. Algorithms, 2004)

Solving monotone inclusions with linear multi-step methods - Teemu Pennanen; Benar Fux Svaiter (Math. Program., 2003)

Inexact Variants of the Proximal Point Algorithm without Monotonicity - Alfredo N. Iusem; Teemu Pennanen; Benar Fux Svaiter (SIAM J. Optim., 2003)

Relaxed Steepest Descent and Cauchy-Barzilai-Borwein Method - Marcos Raydan; Benar Fux Svaiter (Comput. Optim. Appl., 2002)

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

A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities - Mikhail V. Solodov; Benar Fux Svaiter (Optim. Methods Softw., 2002)

A Relative Error Tolerance for a Family of Generalized Proximal Point Methods - Regina Sandra Burachik; Benar Fux Svaiter (Math. Oper. Res., 2001)

On the need for hybrid steps in hybrid proximal point methods - O. Rolando Gárciga; Alfredo N. Iusem; Benar Fux Svaiter (Oper. Res. Lett., 2001)

Steepest descent methods for multicriteria optimization - Jörg Fliege; Benar Fux Svaiter (Math. Methods Oper. Res., 2000)

An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions - Mikhail V. Solodov; Benar Fux Svaiter (Math. Oper. Res., 2000)

Forcing strong convergence of proximal point iterations in a Hilbert space - Mikhail V. Solodov; Benar Fux Svaiter (Math. Program., 2000)

Error bounds for proximal point subproblems and associated inexact proximal point algorithms - Mikhail V. Solodov; Benar Fux Svaiter (Math. Program., 2000)

On the central path for nonlinear semidefinite programming - L. Mauricio Graña Drummond; Alfredo Noel Iusem; Benar Fux Svaiter (RAIRO Oper. Res., 2000)

A Truly Globally Convergent Newton-Type Method for the Monotone Nonlinear Complementarity Problem - Mikhail V. Solodov; Benar Fux Svaiter (SIAM J. Optim., 2000)

Entropy-Like Proximal Methods in Convex Programming - Alfredo N. Iusem; Benar Fux Svaiter; Marc Teboulle (Math. Oper. Res., 1994)

A row-action method for convex programming - Alfredo N. Iusem; Benar Fux Svaiter (Math. Program., 1994)