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Eugene E. Tyrtyshnikov

Eugene E. Tyrtyshnikov

D-Index & Metrics

Mathematics

D-Index
34
Citations
6787
World Ranking
2871
National Ranking
28

Eugene E. Tyrtyshnikov 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 Eugene E. Tyrtyshnikov 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: 159 publications — 43rd percentile

43% of scientists in this discipline score the same or lower.

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

Eugene E. Tyrtyshnikov 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 Eugene E. Tyrtyshnikov 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Eugene E. Tyrtyshnikov is affiliated with the Russian Academy of Sciences in the Russian Federation. Their research primarily spans the fields of Physics and Astronomy as well as Mathematics, with a significant focus on Computational Mathematics and Statistical and Nonlinear Physics. Additional subfields of study include Computational Mechanics, Atomic and Molecular Physics and Optics, and Artificial Intelligence.

The researcher's work covers several main topics, including:

  • Tensor decomposition and applications
  • Model Reduction and Neural Networks
  • Advanced Neuroimaging Techniques and Applications
  • Complex Network Analysis Techniques
  • Quantum many-body systems
  • Advanced Numerical Methods in Computational Mathematics
  • Probabilistic and Robust Engineering Design

Tyrtyshnikov has contributed publications to a range of venues, with frequent appearances in:

  • arXiv (Cornell University)
  • SIAM Journal on Scientific Computing
  • Numerical Linear Algebra with Applications
  • Nature Computational Science
  • Quantum Science and Technology

Among recent papers authored or coauthored by Tyrtyshnikov are the following:

  • A quantum-inspired approach to exploit turbulence structures, 2022, Nature Computational Science
  • Parallel time-dependent variational principle algorithm for matrix product states, 2020, Physical Review B
  • Quantum state preparation using tensor networks, 2023, Quantum Science and Technology
  • Expanding the Range of Hierarchical Equations of Motion by Tensor-Train Implementation, 2021, The Journal of Physical Chemistry B
  • Data-Driven Tensor Train Gradient Cross Approximation for Hamilton-Jacobi-Bellman Equations, 2023, SIAM Journal on Scientific Computing

Frequent coauthors associated with Tyrtyshnikov include:

  • Dmitry Savostyanov
  • Tiangang Cui
  • Dante Kalise
  • Martin Stoll
  • Michael Perelshtein

Best Publications

  • TT-cross approximation for multidimensional arrays

    Ivan Oseledets;Eugene Tyrtyshnikov

  • A Theory of Pseudoskeleton Approximations

    S.A. Goreinov;E.E. Tyrtyshnikov;N.L. Zamarashkin

  • Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions

    I. V. Oseledets;E. E. Tyrtyshnikov

  • Incomplete cross approximation in the mosaic-skeleton method

    E. E. Tyrtyshnikov

  • Mosaic-skeleton approximations

    Eugene Tyrtyshnikov

  • How to find a good submatrix

    S. Goreinov;I. Oseledets;D. Savostyanov;E. Tyrtyshnikov

  • Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time

    I. V. Oseledets;D. V. Savostianov;E. E. Tyrtyshnikov

  • A brief introduction to numerical analysis

    Eugene E. Tyrtyshnikov

  • Spectra of multilevel toeplitz matrices: Advanced theory via simple matrix relationships

    E.E. Tyrtyshnikov;N.L. Zamarashkin

  • Hierarchical Kronecker tensor-product approximations

    Wolfgang Hackbusch;Boris N. Khoromskij;Eugene E. Tyrtyshnikov

  • Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear

    S. Serra Capizzano;E. Tyrtyshnikov

  • Approximate iterations for structured matrices

    Wolfgang Hackbusch;Boris N. Khoromskij;Eugene E. Tyrtyshnikov

  • Pseudo-skeleton approximations by matrices of maximal volume

    S. A. Goreinov;N. L. Zamarashkin;E. E. Tyrtyshnikov

  • Iterative Methods for Linear Systems: Theory and Applications

    Maxim A. Olshanskii;Eugene E. Tyrtyshnikov

  • Tensor approximations of matrices generated by asymptotically smooth functions

    E. E. Tyrtyshnikov

  • Some Remarks on the Elman Estimate for GMRES

    B. Beckermann;S. A. Goreinov;E. E. Tyrtyshnikov

  • Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity

    Vladimir A. Kazeev;Boris N. Khoromskij;Eugene E. Tyrtyshnikov

  • Circulant preconditioners with unbounded inverses

    E.E. Tyrtyshnikov

  • Kronecker-product approximations for some function-related matrices

    Eugene Tyrtyshnikov

  • Use of tensor formats in elliptic eigenvalue problems

    Wolfgang Hackbusch;Boris N. Khoromskij;Stefan A. Sauter;Eugene E. Tyrtyshnikov

Frequent Co-Authors

Ivan V. Oseledets
Ivan V. Oseledets Skolkovo Institute of Science and Technology
Boris N. Khoromskij
Boris N. Khoromskij Max Planck Institute for Mathematics in the Sciences
Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences
Michael K. Ng
Michael K. Ng Hong Kong Baptist University
Raymond H. Chan
Raymond H. Chan Lingnan University
Dario Andrea Bini
Dario Andrea Bini University of Pisa
Paul Van Dooren
Paul Van Dooren Université Catholique de Louvain
Stefano Serra-Capizzano
Stefano Serra-Capizzano University of Insubria
Wai-Ki Ching
Wai-Ki Ching University of Hong Kong

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