World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
11163
World Ranking
1439
National Ranking
76

Computer Science

D-Index
44
Citations
10993
World Ranking
7438
National Ranking
980

Ya-xiang Yuan 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 Ya-xiang Yuan 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: 149 publications — 38th percentile

38% of scientists in this discipline score the same or lower.

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

Ya-xiang Yuan 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 Ya-xiang Yuan 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: 45 D-Index — 61st percentile

61% 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

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - SIAM Fellow For contributions to nonlinear optimization and leadership of computational mathematics in China.

Overview

Ya-xiang Yuan is affiliated with the Chinese Academy of Sciences in China. Their research spans multiple fields including Mathematics, Computer Science, and Engineering, with a significant body of work comprising 44 publications each in Mathematics and Computer Science, and 31 in Engineering.

Their main subfields of study include Numerical Analysis, Computational Mechanics, Computational Theory and Mathematics, Artificial Intelligence, and Computational Mathematics.

Ya-xiang Yuan's research topics encompass advanced optimization algorithms, sparse and compressive sensing techniques, matrix theory and algorithms, stochastic gradient optimization techniques, tensor decomposition and applications, numerical methods in inverse problems, and optimization and variational analysis.

The scientist has published in several venues, with frequent appearances in the following journals and repositories:

  • arXiv (Cornell University)
  • Journal of the Operations Research Society of China
  • Computational Optimization and Applications
  • SIAM Journal on Optimization
  • IMA Journal of Numerical Analysis

Notable papers authored or co-authored by Ya-xiang Yuan include:

  • "A Brief Introduction to Manifold Optimization," 2020, Journal of the Operations Research Society of China
  • "On the complexity of an augmented Lagrangian method for nonconvex optimization," 2020, IMA Journal of Numerical Analysis
  • "A class of smooth exact penalty function methods for optimization problems with orthogonality constraints," 2020, Optimization Methods & Software
  • "Homogenization for polynomial optimization with unbounded sets," 2022, Mathematical Programming
  • "Exact Penalty Function for ℓ₂,₁ Norm Minimization over the Stiefel Manifold," 2021, SIAM Journal on Optimization

Frequent collaborators of Ya-xiang Yuan include:

  • Renfeng Peng
  • Bin Gao
  • Zaiwen Wen
  • Jiawang Nie
  • Xin Liu

Ya-xiang Yuan has received recognition in the form of prestigious awards such as being named a Fellow of the American Mathematical Society in 2013 and a SIAM Fellow in 2011 for contributions to nonlinear optimization and leadership of computational mathematics in China.

Best Publications

  • A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property

    Y. H. Dai;Y. Yuan

  • Optimization Theory and Methods: Nonlinear Programming

    Wenyu Sun;Ya-Xiang Yuan

  • Optimization theory and methods

    Wenyu Sun;Ya-Xiang Yuan

  • Global Convergence of a Cass of Quasi-Newton Methods on Convex Problems

    Richard H. Byrd;Jorge Nocedal;Ya-Xiang Yuan

  • An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization

    Y. H. Dai;Ya-Xiang Yuan

  • A trust region algorithm for equality constrained optimization

    M. J. D. Powell;Y. Yuan

  • On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption

    Jin-yan Fan;Ya-xiang Yuan

  • Combining Trust Region and Line Search Techniques

    Jorge Nocedal;Ya-xiang Yuan

  • Convergence Properties of Nonlinear Conjugate Gradient Methods

    Yuhong Dai;Jiye Han;Guanghui Liu;Defeng Sun

  • Recent advances in trust region algorithms

    Ya-Xiang Yuan

  • A modified BFGS algorithm for unconstrained optimization

    Ya-Xiang Yuan

  • Convergence properties of the Fletcher-Reeves method

    Y. H. Dai;Y. Yuan

  • On a subproblem of trust region algorithms for constrained optimization

    Ya-Xiang Yuan

  • A Brief Introduction to Manifold Optimization

    Jiang Hu;Xin Liu;Zai-Wen Wen;Ya-Xiang Yuan

  • A recursive quadratic programming algorithm that uses differentiable exact penalty functions

    M J D Powell;Y Yuan

  • Conditions for convergence of trust region algorithms for nonsmooth optimization

    Ya-Xiang Yuan

  • On the convergence of a new trust region algorithm

    Ya-xiang Yuan

  • Modified Two-Point Stepsize Gradient Methods for Unconstrained Optimization

    Yuhong Dai;Jinyun Yuan;Ya-Xiang Yuan

  • Alternate minimization gradient method

    Yu‐Hong Dai;Ya‐Xiang Yuan

  • Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints

    Ji-Ming Peng;Ya-xiang Yuan

Frequent Co-Authors

Yu-Hong Dai
Yu-Hong Dai Chinese Academy of Sciences
M. J. D. Powell
M. J. D. Powell University of Cambridge
Philippe L. Toint
Philippe L. Toint University of Namur
Jorge Nocedal
Jorge Nocedal Northwestern University
Shiqian Ma
Shiqian Ma Rice University
Andreas Griewank
Andreas Griewank Humboldt-Universität zu Berlin
Andrzej Ruszczyński
Andrzej Ruszczyński Rutgers, The State University of New Jersey
Henry Wolkowicz
Henry Wolkowicz University of Waterloo
Luís Nunes Vicente
Luís Nunes Vicente Lehigh University
Masao Fukushima
Masao Fukushima Kyoto University

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