World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
10339
World Ranking
706
National Ranking
37

Computer Science

D-Index
55
Citations
10031
World Ranking
4376
National Ranking
586

Defeng Sun 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 Defeng Sun 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: 155 publications — 41st percentile

41% of scientists in this discipline score the same or lower.

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

Defeng Sun 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 Defeng Sun 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: 57 D-Index — 82nd percentile

82% 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

  • 2020 - SIAM Fellow For contributions to algorithms and software for conic optimization, particularly matrix optimization.

Overview

Defeng Sun is affiliated with Hong Kong Polytechnic University in China. Their research spans multiple disciplines, including Mathematics, Computer Science, and Engineering, with a strong focus on numerical and computational methods.

Their main fields of study are:

  • Mathematics
  • Computer Science
  • Engineering

Their work extends to several specialized subfields, such as:

  • Numerical Analysis
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Statistics and Probability
  • Computer Vision and Pattern Recognition

Defeng Sun's research topics include:

  • Advanced Optimization Algorithms Research
  • Sparse and Compressive Sensing Techniques
  • Optimization and Variational Analysis
  • Statistical Methods and Inference
  • Matrix Theory and Algorithms
  • Tensor decomposition and applications
  • Image and Signal Denoising Methods

The scientist has published extensively in various venues, with frequent contributions to:

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

Several coauthors have collaborated with Defeng Sun repeatedly, including:

  • Kim-Chuan Toh
  • Yancheng Yuan
  • Ling Liang
  • Meixia Lin
  • Ruoning Chen

Recent papers by Defeng Sun include:

  • An Asymptotically Superlinearly Convergent Semismooth Newton Augmented Lagrangian Method for Linear Programming, 2020, SIAM Journal on Optimization
  • Robust Tensor Completion: Equivalent Surrogates, Error Bounds, and Algorithms, 2022, SIAM Journal on Imaging Sciences
  • Subgroup analysis in the heterogeneous Cox model, 2020, Statistics in Medicine
  • Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized Jacobian, 2020, SIAM Journal on Optimization
  • Zero-norm regularized problems: equivalent surrogates, proximal MM method and statistical error bound, 2023, Computational Optimization and Applications

Defeng Sun's work has been recognized with the award of SIAM Fellow in 2020 for contributions to algorithms and software for conic optimization, particularly matrix optimization.

Best Publications

  • Hankel Matrix Rank Minimization with Applications to System Identification and Realization

    Maryam Fazel;Ting Kei Pong;Defeng Sun;Paul Tseng

  • A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities

    Liqun Qi;Defeng Sun;Guanglu Zhou

  • A Newton-CG Augmented Lagrangian Method for Semidefinite Programming

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

  • A Quadratically Convergent Newton Method for Computing the Nearest Correlation Matrix

    Houduo Qi;Defeng Sun

  • Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities

    X. Chen;L. Qi;D. Sun

  • Convergence Properties of Nonlinear Conjugate Gradient Methods

    Yuhong Dai;Jiye Han;Guanghui Liu;Defeng Sun

  • Semismooth Matrix-Valued Functions

    Defeng Sun;Jie Sun

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

    Liuqin Yang;Defeng Sun;Kim-Chuan Toh

  • Complementarity Functions and Numerical Experiments on Some Smoothing Newton Methods for Second-Order-Cone Complementarity Problems

    X. D. Chen;D. Sun;J. Sun

  • On NCP-Functions

    Defeng Sun;Liqun Qi

  • The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications

    Defeng Sun

  • A class of iterative methods for solving nonlinear projection equations

    D. Sun

  • Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems

    Jong-Shi Pang;Defeng Sun;Jie Sun

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

    Defeng Sun;Kim-Chuan Toh;Liuqin Yang

  • The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming

    Defeng Sun;Jie Sun;Liwei Zhang

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

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

  • Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras

    Defeng Sun;Jie Sun

  • 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

  • Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems

    Defeng Sun;Jiye Han

  • An implementable proximal point algorithmic framework for nuclear norm minimization

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

  • 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

Kim-Chuan Toh
Kim-Chuan Toh National University of Singapore
Liqun Qi
Liqun Qi Hong Kong Polytechnic University
Robert S. Womersley
Robert S. Womersley University of New South Wales
Deren Han
Deren Han Nanjing Normal University
Elijah Polak
Elijah Polak University of California, Berkeley
Jong-Shi Pang
Jong-Shi Pang University of Southern California
James Stephen Marron
James Stephen Marron University of North Carolina at Chapel Hill
Zheng-Hai Huang
Zheng-Hai Huang Tianjin University
Yu-Hong Dai
Yu-Hong Dai Chinese Academy of Sciences
Masao Fukushima
Masao Fukushima Kyoto University

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