World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
9347
World Ranking
1675
National Ranking
724

Engineering and Technology

D-Index
43
Citations
9390
World Ranking
6050
National Ranking
1682

Renato D. C. Monteiro publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Renato D. C. Monteiro sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 134 publications — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Renato D. C. Monteiro D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Renato D. C. Monteiro sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 43 D-Index — 54th percentile

54% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Renato D. C. Monteiro is affiliated with the Georgia Institute of Technology in the United States. Their research primarily focuses on areas intersecting computer science, engineering, and mathematics, contributing extensively to computational mechanics, numerical analysis, artificial intelligence, and the mathematical foundations of optimization algorithms.

Their recent scientific publications cover advancements in optimization methods, especially in nonconvex and composite optimization problems. Key papers include:

  • An Accelerated Inexact Proximal Point Method for Solving Nonconvex-Concave Min-Max Problems, 2021, SIAM Journal on Optimization
  • An efficient adaptive accelerated inexact proximal point method for solving linearly constrained nonconvex composite problems, 2020, Computational Optimization and Applications
  • Iteration Complexity of a Proximal Augmented Lagrangian Method for Solving Nonconvex Composite Optimization Problems with Nonlinear Convex Constraints, 2022, Mathematics of Operations Research
  • Iteration-complexity of an inexact proximal accelerated augmented Lagrangian method for solving linearly constrained smooth nonconvex composite optimization problems, 2020, arXiv (Cornell University)
  • An Average Curvature Accelerated Composite Gradient Method for Nonconvex Smooth Composite Optimization Problems, 2021, SIAM Journal on Optimization

Monteiro's work frequently appears in journals and repositories well regarded in optimization and applied mathematics, with significant contributions in the following venues:

  • arXiv (Cornell University)
  • SIAM Journal on Optimization
  • Computational Optimization and Applications
  • Journal of Optimization Theory and Applications
  • Mathematics of Operations Research

The scientist collaborates with several researchers across optimization and numerical methods. Frequent co-authors include:

  • Jiaming Liang
  • Weiwei Kong
  • Jefferson G. Melo
  • Vincent Guigues
  • Arnesh Sujanani

Their research topics focus heavily on optimization and computational techniques, covering areas such as:

  • Sparse and Compressive Sensing Techniques
  • Advanced Optimization Algorithms Research
  • Stochastic Gradient Optimization Techniques
  • Optimization and Variational Analysis
  • Risk and Portfolio Optimization
  • Numerical methods in inverse problems
  • Topology Optimization in Engineering

Monteiro's interdisciplinary approach bridges theoretical foundations and applied computational methods, grounded in areas like computational mechanics and numerical analysis. This positions their work at the interface of algorithmic development and practical optimization challenges.

Best Publications

  • A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization

    Samuel Burer;Renato D.C. Monteiro

  • Interior path following primal-dual algorithms. Part I: Linear programming

    Renato D.C. Monteiro;Ilan Adler

  • Local Minima and Convergence in Low-Rank Semidefinite Programming

    Samuel Burer;Renato D. C. Monteiro

  • Primal--Dual Path-Following Algorithms for Semidefinite Programming

    Renato D. C. Monteiro

  • Interior path following primal-dual algorithms. Part II: Convex quadratic programming

    Renato D.C. Monteiro;Ilan Adler

  • Dimension reduction and coefficient estimation in multivariate linear regression

    Ming Yuan;Ali Ekici;Zhaosong Lu;Renato Monteiro

  • A polynomial-time primal-dual affine scaling algorithm for linear and convex quadratic programming and its power series extension

    R. C. Monteiro;I. Adler;M. G.C. Resende

  • Rank-Two Relaxation Heuristics for MAX-CUT and Other Binary Quadratic Programs

    Samuel Burer;Renato D. C. Monteiro;Yin Zhang

  • ITERATION-COMPLEXITY OF BLOCK-DECOMPOSITION ALGORITHMS AND THE ALTERNATING DIRECTION METHOD OF MULTIPLIERS ∗

    Renato D. C. Monteiro;Benar Fux Svaiter

  • Polynomial convergence of primal-dual algorithms for the second-order cone program based on the MZ-family of directions

    Renato D.C. Monteiro;Takashi Tsuchiya

  • Primal-dual first-order methods with $${\mathcal {O}(1/psilon)}$$iteration-complexity for cone programming

    Guanghui Lan;Zhaosong Lu;Renato D. C. Monteiro

  • A geometric view of parametric linear programming

    Ilan Adler;Renato D. Monteiro

  • A unified analysis for a class of long-step primal-dual path-following interior-point algorithms for semidefinite programming

    Renato D.C. Monteiro;Yin Zhang

  • On the Complexity of the Hybrid Proximal Extragradient Method for the Iterates and the Ergodic Mean

    Renato D. C. Monteiro;B. F. Svaiter

  • Limiting behavior of the affine scaling continuous trajectories for linear programming problems

    Ilan Adler;Renato D. C. Monteiro

  • 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;B. F. Svaiter

  • Interior path following primal-dual algorithms

    Renato Duarte Carneiro Monteiro;Ilan Adler

  • An Accelerated Hybrid Proximal Extragradient Method for Convex Optimization and Its Implications to Second-Order Methods

    Renato D. C. Monteiro;Benar Fux Svaiter

  • Iteration-complexity of first-order augmented Lagrangian methods for convex programming

    Guanghui Lan;Renato D. Monteiro

  • Polynomial Convergence of Primal-Dual Algorithms for Semidefinite Programming Based on the Monteiro and Zhang Family of Directions

    Renato D. C. Monteiro

Frequent Co-Authors

Benar Fux Svaiter
Benar Fux Svaiter Instituto Nacional de Matemática Pura e Aplicada
Yin Zhang
Yin Zhang Chinese University of Hong Kong, Shenzhen
Guanghui Lan
Guanghui Lan Georgia Institute of Technology
Jong-Shi Pang
Jong-Shi Pang University of Southern California
Samuel Burer
Samuel Burer University of Iowa
Stephen J. Wright
Stephen J. Wright University of Wisconsin–Madison
Ming Yuan
Ming Yuan Columbia University
Haesun Park
Haesun Park Georgia Institute of Technology
Alfredo N. Iusem
Alfredo N. Iusem Fundação Getulio Vargas
Arkadi Nemirovski
Arkadi Nemirovski Georgia Institute of Technology

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