Renato D. C. Monteiro

According to our database1, Renato D. C. Monteiro authored at least 95 papers between 1989 and 2024.

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Bibliography

2024
Global Complexity Bound of a Proximal ADMM for Linearly Constrained Nonseparable Nonconvex Composite Programming.
SIAM J. Optim., March, 2024

A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach.
CoRR, 2024

2023
An Adaptive Superfast Inexact Proximal Augmented Lagrangian Method for Smooth Nonconvex Composite Optimization Problems.
J. Sci. Comput., November, 2023

Average curvature FISTA for nonconvex smooth composite optimization problems.
Comput. Optim. Appl., September, 2023

An accelerated inexact dampened augmented Lagrangian method for linearly-constrained nonconvex composite optimization problems.
Comput. Optim. Appl., June, 2023

Iteration Complexity of a Proximal Augmented Lagrangian Method for Solving Nonconvex Composite Optimization Problems with Nonlinear Convex Constraints.
Math. Oper. Res., May, 2023

Iteration Complexity of an Inner Accelerated Inexact Proximal Augmented Lagrangian Method Based on the Classical Lagrangian Function.
SIAM J. Optim., March, 2023

2022
Projection-free accelerated method for convex optimization.
Optim. Methods Softw., 2022

Accelerated inexact composite gradient methods for nonconvex spectral optimization problems.
Comput. Optim. Appl., 2022

2021
A Proximal Bundle Variant with Optimal Iteration-Complexity for a Large Range of Prox Stepsizes.
SIAM J. Optim., 2021

An Average Curvature Accelerated Composite Gradient Method for Nonconvex Smooth Composite Optimization Problems.
SIAM J. Optim., 2021

An Accelerated Inexact Proximal Point Method for Solving Nonconvex-Concave Min-Max Problems.
SIAM J. Optim., 2021

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

Stochastic Dynamic Cutting Plane for Multistage Stochastic Convex Programs.
J. Optim. Theory Appl., 2021

A FISTA-type accelerated gradient algorithm for solving smooth nonconvex composite optimization problems.
Comput. Optim. Appl., 2021

2020
An efficient adaptive accelerated inexact proximal point method for solving linearly constrained nonconvex composite problems.
Comput. Optim. Appl., 2020

2019
Complexity of a Quadratic Penalty Accelerated Inexact Proximal Point Method for Solving Linearly Constrained Nonconvex Composite Programs.
SIAM J. Optim., 2019

2018
Complexity of the relaxed Peaceman-Rachford splitting method for the sum of two maximal strongly monotone operators.
Comput. Optim. Appl., 2018

2017
Improved Pointwise Iteration-Complexity of A Regularized ADMM and of a Regularized Non-Euclidean HPE Framework.
SIAM J. Optim., 2017

An accelerated non-Euclidean hybrid proximal extragradient-type algorithm for convex-concave saddle-point problems.
Optim. Methods Softw., 2017

2016
An Accelerated HPE-Type Algorithm for a Class of Composite Convex-Concave Saddle-Point Problems.
SIAM J. Optim., 2016

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

Iteration-complexity of first-order augmented Lagrangian methods for convex programming.
Math. Program., 2016

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

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

Accelerating Block-Decomposition First-Order Methods for Solving Composite Saddle-Point and Two-Player Nash Equilibrium Problems.
SIAM J. Optim., 2015

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

Iteration-complexity of first-order penalty methods for convex programming.
Math. Program., 2013

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

Convex optimization methods for dimension reduction and coefficient estimation in multivariate linear regression.
Math. Program., 2012

Group Sparsity in Nonnegative Matrix Factorization.
Proceedings of the Twelfth SIAM International Conference on Data Mining, 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

Primal-dual first-order methods with <i>O</i>(1/e) iteration-complexity for cone programming.
Math. Program., 2011

A Fast Algorithm for Sparse PCA and a New Sparsity Control Criteria.
Proceedings of the Eleventh SIAM International Conference on Data Mining, 2011

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

2009
A Polynomial Predictor-Corrector Trust-Region Algorithm for Linear Programming.
SIAM J. Optim., 2009

An iterative solver-based long-step infeasible primal-dual path-following algorithm for convex QP based on a class of preconditioners.
Optim. Methods Softw., 2009

2008
A strong bound on the integral of the central path curvature and its relationship with the iteration-complexity of primal-dual path-following LP algorithms.
Math. Program., 2008

2007
Dual convergence of the proximal point method with Bregman distances for linear programming.
Optim. Methods Softw., 2007

Limiting behavior of the Alizadeh-Haeberly-Overton weighted paths in semidefinite programming.
Optim. Methods Softw., 2007

Large-scale semidefinite programming via a saddle point Mirror-Prox algorithm.
Math. Program., 2007

A modified nearly exact method for solving low-rank trust region subproblem.
Math. Program., 2007

2006
An Iterative Solver-Based Infeasible Primal-Dual Path-Following Algorithm for Convex Quadratic Programming.
SIAM J. Optim., 2006

2005
A New Iteration-Complexity Bound for the MTY Predictor-Corrector Algorithm.
SIAM J. Optim., 2005

A Note on the Local Convergence of a Predictor-Corrector Interior-Point Algorithm for the Semidefinite Linear Complementarity Problem Based on the Alizadeh--Haeberly--Overton Search Direction.
SIAM J. Optim., 2005

Error Bounds and Limiting Behavior of Weighted Paths Associated with the SDP Map X1/2SX1/2.
SIAM J. Optim., 2005

Asymptotic behavior of the central path for a special class of degenerate SDP problems.
Math. Program., 2005

Local Minima and Convergence in Low-Rank Semidefinite Programming.
Math. Program., 2005

2004
Uniform Boundedness of a Preconditioned Normal Matrix Used in Interior-Point Methods.
SIAM J. Optim., 2004

2003
A Variant of the Vavasis--Ye Layered-Step Interior-Point Algorithm for Linear Programming.
SIAM J. Optim., 2003

A General Framework for Establishing Polynomial Convergence of Long-Step Methods for Semidefinite Programming.
Optim. Methods Softw., 2003

First- and second-order methods for semidefinite programming.
Math. Program., 2003

A computational study of a gradient-based log-barrier algorithm for a class of large-scale SDPs.
Math. Program., 2003

A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization.
Math. Program., 2003

2002
Rank-Two Relaxation Heuristics for MAX-CUT and Other Binary Quadratic Programs.
SIAM J. Optim., 2002

Maximum stable set formulations and heuristics based on continuous optimization.
Math. Program., 2002

Solving a class of semidefinite programs via nonlinear programming.
Math. Program., 2002

Interior-Point Algorithms for Semidefinite Programming Based on a Nonlinear Formulation.
Comput. Optim. Appl., 2002

2000
Polynomial convergence of primal-dual algorithms for the second-order cone program based on the MZ-family of directions.
Math. Program., 2000

General Interior-Point Maps and Existence of Weighted Paths for Nonlinear Semidefinite Complementarity Problems.
Math. Oper. Res., 2000

On Dual Convergence of the Generalized Proximal Point Method with Bregman Distances.
Math. Oper. Res., 2000

1999
Polynomial Convergence of a New Family of Primal-Dual Algorithms for Semidefinite Programming.
SIAM J. Optim., 1999

A Potential Reduction Newton Method for Constrained Equations.
SIAM J. Optim., 1999

Polynomiality of primal-dual algorithms for semidefinite linear complementarity problems based on the Kojima-Shindoh-Hara family of directions.
Math. Program., 1999

1998
Global Convergence of the Affine Scaling Algorithm for Convex Quadratic Programming.
SIAM J. Optim., 1998

Polynomial Convergence of Primal-Dual Algorithms for Semidefinite Programming Based on the Monteiro and Zhang Family of Directions.
SIAM J. Optim., 1998

A unified analysis for a class of long-step primal-dual path-following interior-point algorithms for semidefinite programming.
Math. Program., 1998

Trust region affine scaling algorithms for linearly constrained convex and concave programs.
Math. Program., 1998

On Two Interior-Point Mappings for Nonlinear Semidefinite Complementarity Problems.
Math. Oper. Res., 1998

On the Existence and Convergence of the Central Path for Convex Programming and Some Duality Results.
Comput. Optim. Appl., 1998

1997
Primal-Dual Path-Following Algorithms for Semidefinite Programming.
SIAM J. Optim., 1997

A note on the existence of the Alizadeh-Haeberly-Overton direction for semidefinite programming.
Math. Program., 1997

Nondegeneracy of Polyhedra and Linear Programs.
Comput. Optim. Appl., 1997

On Superlinear Convergence of Infeasible Interior-Point Algorithms for Linearly Constrained Convex Programs.
Comput. Optim. Appl., 1997

1996
A Superlinear Infeasible-Interior-Point Affine Scaling Algorithm for LCP.
SIAM J. Optim., 1996

An interior point potential reduction method for constrained equations.
Math. Program., 1996

Superlinear convergence of the affine scaling algorithm.
Math. Program., 1996

A general parametric analysis approach and its implication to sensitivity analysis in interior point methods.
Math. Program., 1996

Properties of an Interior-Point Mapping for Mixed Complementarity Problems.
Math. Oper. Res., 1996

1995
A Positive Algorithm for the Nonlinear Complementarity Problem.
SIAM J. Optim., 1995

Superlinear primal-dual affine scaling algorithms for LCP.
Math. Program., 1995

1994
A globally convergent primal-dual interior point algorithm for convex programming.
Math. Program., 1994

Local convergence of interior-point algorithms for degenerate monotone LCP.
Comput. Optim. Appl., 1994

1993
A simplified global convergence proof of the affine scaling algorithm.
Ann. Oper. Res., 1993

1992
On the Continuous Trajectories for a Potential Reduction Algorithm for Linear Programming.
Math. Oper. Res., 1992

A Geometric View of Parametric Linear Programming.
Algorithmica, 1992

1991
Limiting behavior of the affine scaling continuous trajectories for linear programming problems.
Math. Program., 1991

Convergence and Boundary Behavior of the Projective Scaling Trajectories for Linear Programming.
Math. Oper. Res., 1991

1990
A Polynomial-Time Primal-Dual Affine Scaling Algorithm for Linear and Convex Quadratic Programming and Its Power Series Extension.
Math. Oper. Res., 1990

An Extension of Karmarkar Type Algorithm to a Class of Convex Separable Programming Problems with Global Linear Rate of Convergence.
Math. Oper. Res., 1990

1989
Interior path following primal-dual algorithms. part II: Convex quadratic programming.
Math. Program., 1989

Interior path following primal-dual algorithms. part I: Linear programming.
Math. Program., 1989


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