World's Best Scientists 2026 revealed!
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Mathematics
Singapore
2026

D-Index & Metrics

Mathematics

D-Index
53
Citations
14970
World Ranking
888
National Ranking
2

Computer Science

D-Index
53
Citations
14811
World Ranking
4728
National Ranking
68

Kim-Chuan Toh 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 Kim-Chuan Toh 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: 196 publications — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Kim-Chuan Toh 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 Kim-Chuan Toh 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: 53 D-Index — 76th percentile

76% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Singapore Leader Award
  • 2025 - Research.com Mathematics in Singapore Leader Award
  • 2022 - Research.com Mathematics in Singapore Leader Award
  • 2018 - SIAM Fellow For his contributions to the development of algorithms and software for semidefinite programming and, more generally, conic programming.

Overview

Kim-Chuan Toh is affiliated with the National University of Singapore and contributes extensively to the fields of computer science, mathematics, and engineering. Their research primarily spans advanced optimization algorithms, sparse and compressive sensing techniques, and optimization and variational analysis. Additional areas of focus include stochastic gradient optimization techniques, statistical methods and inference, matrix theory and algorithms, and numerical methods in inverse problems.

Their work has been published in various well-regarded venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • SIAM Journal on Optimization
  • Mathematical Programming
  • Mathematics of Operations Research
  • Mathematical Programming Computation

Notable papers authored under their guidance or collaboration include:

  • "An Asymptotically Superlinearly Convergent Semismooth Newton Augmented Lagrangian Method for Linear Programming" (2020, SIAM Journal on Optimization)
  • "Difference-of-Convex Algorithms for a Class of Sparse Group ℓ0 Regularized Optimization Problems" (2022, SIAM Journal on Optimization)
  • "An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relaxation of polynomial optimization" (2022, Mathematical Programming)
  • "Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized Jacobian" (2020, SIAM Journal on Optimization)
  • "Bregman Proximal Point Algorithm Revisited: A New Inexact Version and Its Inertial Variant" (2022, SIAM Journal on Optimization)

The scientist has collaborated frequently with a core group of researchers. The most common coauthors include:

  • Defeng Sun
  • Ling Liang
  • Nachuan Xiao
  • Xiaoyin Hu
  • Tianyun Tang

Kim-Chuan Toh's specific subfields of study reflect an emphasis on computational and theoretical aspects:

  • Numerical Analysis
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Artificial Intelligence
  • Statistics and Probability

Recognition within the scientific community includes earning the distinction of SIAM Fellow in 2018 for contributions to algorithms and software development targeting semidefinite programming and broader conic programming.

Best Publications

  • SDPT3 — A Matlab software package for semidefinite programming, Version 1.3

    K. C. Toh;M. J. Todd;R. H. Tütüncü

  • Solving semidefinite-quadratic-linear programs using SDPT3

    Reha H. Tütüncü;Kim-Chuan Toh;Michael J. Todd

  • An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems

    Kim-Chuan Toh;Sangwoon Yun

  • SDPT3 -- A Matlab Software Package for Semidefinite Programming

    K. C. Toh;M. J. Todd;R. H. Tutuncu

  • Semidefinite Programming Approaches for Sensor Network Localization With Noisy Distance Measurements

    P. Biswas;Tzu-Chen Liang;Kim-Chuan Toh;Y. Ye

  • A Newton-CG Augmented Lagrangian Method for Semidefinite Programming

    Xin-Yuan Zhao;Defeng Sun;Kim-Chuan Toh

  • On the Nesterov--Todd Direction in Semidefinite Programming

    M. J. Todd;K. C. Toh;R. H. Tütüncü

  • SDPNAL$$$$: a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints

    Liuqin Yang;Defeng Sun;Kim-Chuan Toh

  • On the Implementation and Usage of SDPT3 – A Matlab Software Package for Semidefinite-Quadratic-Linear Programming, Version 4.0

    Kim-Chuan Toh;Michael J. Todd;Reha H. Tütüncü

  • SDPT3 — a Matlab software package for semidefinite-quadratic-linear programming, version 3.0

    R. H. Tütüncü;K. C. Toh;M. J. Todd

  • A Convergent 3-Block SemiProximal Alternating Direction Method of Multipliers for Conic Programming with 4-Type Constraints

    Defeng Sun;Kim-Chuan Toh;Liuqin Yang

  • An inexact interior point method for L1-regularized sparse covariance selection

    Lu Li;Kim-Chuan Toh;Kim-Chuan Toh

  • A highly efficient semismooth Newton augmented lagrangian method for solving lasso problems

    Xudong Li;Defeng Sun;Defeng Sun;Kim Chuan Toh

  • A Schur complement based semi-proximal ADMM for convex quadratic conic programming and extensions

    Xudong Li;Defeng Sun;Kim-Chuan Toh

  • An efficient inexact symmetric Gauss---Seidel based majorized ADMM for high-dimensional convex composite conic programming

    Liang Chen;Defeng Sun;Kim-Chuan Toh

  • 3D Chromosome Modeling with Semi-Definite Programming and Hi-C Data

    ZhiZhuo Zhang;Guoliang Li;Kim-Chuan Toh;Wing-Kin Sung

  • A Distributed SDP Approach for Large-Scale Noisy Anchor-Free Graph Realization with Applications to Molecular Conformation

    Pratik Biswas;Kim-Chuan Toh;Yinyu Ye

  • From Potential Theory to Matrix Iterations in Six Steps

    Tobin A. Driscoll;Kim-Chuan Toh;Lloyd N. Trefethen

  • An implementable proximal point algorithmic framework for nuclear norm minimization

    Yong-Jin Liu;Defeng Sun;Kim-Chuan Toh

  • Pseudozeros of Polynomials and Pseudospectra of Companion Matrices

    Kim-Chuan Toh;Lloyd N. Trefethen

  • A Convergent 3-Block Semi-Proximal Alternating Direction Method of Multipliers for Conic Programming with $4$-Type of Constraints

    Defeng Sun;Kim-Chuan Toh;Liuqin Yang

Frequent Co-Authors

Defeng Sun
Defeng Sun Hong Kong Polytechnic University
Kok-Kwang Phoon
Kok-Kwang Phoon Singapore University of Technology and Design
Masakazu Kojima
Masakazu Kojima Tokyo Institute of Technology
Michael J. Todd
Michael J. Todd Cornell University
Lloyd N. Trefethen
Lloyd N. Trefethen University of Oxford
Jean B. Lasserre
Jean B. Lasserre Laboratory for Analysis and Architecture of Systems
Zuowei Shen
Zuowei Shen National University of Singapore
Stephen A. Vavasis
Stephen A. Vavasis University of Waterloo
Fook Hou Lee
Fook Hou Lee National University of Singapore
Wing-Kin Sung
Wing-Kin Sung Chinese University of Hong Kong

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