World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
14832
World Ranking
943
National Ranking
24

Engineering and Technology

D-Index
51
Citations
14669
World Ranking
3766
National Ranking
100

Michele Benzi 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 Michele Benzi 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: 141 publications — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Michele Benzi 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 Michele Benzi 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: 52 D-Index — 74th percentile

74% 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

  • 2019 - Member of Academia Europaea
  • 2018 - Fellow of the American Mathematical Society For contributions in numerical linear algebra, exposition, and service to the profession.
  • 2012 - SIAM Fellow For contributions to numerical linear algebra and its applications, especially sparse linear systems and preconditioning.

Overview

Michele Benzi is affiliated with the Scuola Normale Superiore di Pisa in Italy. Their research spans multiple fields including Computer Science, Physics and Astronomy, and Mathematics. Within these fields, their work addresses subfields such as Computational Theory and Mathematics, Atomic and Molecular Physics and Optics, Computational Mechanics, Statistical and Nonlinear Physics, and Numerical Analysis.

The scientist's publications focus on several main topics of research, including Matrix Theory and Algorithms, Advanced Numerical Methods in Computational Mathematics, Graph Theory and Applications, Electromagnetic Scattering and Analysis, Complex Network Analysis Techniques, Spectroscopy and Quantum Chemical Studies, and Numerical Methods for Differential Equations.

Recent papers authored by Michele Benzi include:

  • Matrix functions in network analysis, 2020, GAMM-Mitteilungen
  • Some uses of the field of values in numerical analysis, 2020, Bollettino dell Unione Matematica Italiana

Other recent papers from their broader research context, authored by frequent co-authors, feature works like:

  • Going Beyond the Limits of Classical Atomistic Modeling of Plasmonic Nanostructures, 2021, The Journal of Physical Chemistry C
  • Low- and high-density forms of liquid water revealed by a new medium-range order descriptor, 2022, Journal of Molecular Liquids
  • Risk-Dependent Centrality in Economic and Financial Networks, 2020, SIAM Journal on Financial Mathematics

Michele Benzi collaborates frequently with peers such as Chiara Faccio, Laura Zanetti-Polzi, Isabella Daidone, Michele Rinelli, and Fatemeh Panjeh Ali Beik. These collaborations have contributed to a diverse portfolio of interdisciplinary research articles.

The scientist's work has appeared in journals like arXiv (Cornell University), SIAM Journal on Scientific Computing, The Journal of Physical Chemistry C, Numerische Mathematik, and Linear Algebra and its Applications, with the largest number of their publications found on arXiv.

Michele Benzi has been recognized by several academic organizations. They became a member of Academia Europaea in 2019. In 2018, they were named a Fellow of the American Mathematical Society for contributions in numerical linear algebra, exposition, and service to the profession. Earlier, in 2012, they were named a SIAM Fellow for contributions to numerical linear algebra and its applications, particularly in sparse linear systems and preconditioning.

Best Publications

  • Numerical solution of saddle point problems

    Michele Benzi;Gene H. Golub;Jörg Liesen

  • Preconditioning techniques for large linear systems: a survey

    Michele Benzi

  • A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method

    Michele Benzi;Carl D. Meyer;Miroslav Tuma

  • A Preconditioner for Generalized Saddle Point Problems

    Michele Benzi;Gene H. Golub

  • A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems

    Michele Benzi;Miroslav Tuma

  • A comparative study of sparse approximate inverse preconditioners

    Michele Benzi;Miroslav Tůma

  • Modified HSS iteration methods for a class of complex symmetric linear systems

    Zhong-Zhi Bai;Michele Benzi;Fang Chen

  • The physics of communicability in complex networks

    Ernesto Estrada;Naomichi Hatano;Michele Benzi

  • An Augmented Lagrangian-Based Approach to the Oseen Problem

    Michele Benzi;Maxim A. Olshanskii

  • Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method

    Michele Benzi;Jane K. Cullum;Miroslav Tuma

  • On preconditioned MHSS iteration methods for complex symmetric linear systems

    Zhong-Zhi Bai;Michele Benzi;Fang Chen

  • TM-LDA: efficient online modeling of latent topic transitions in social media

    Yu Wang;Eugene Agichtein;Michele Benzi

  • Total communicability as a centrality measure

    Michele Benzi;Christine Klymko

  • Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

    Zhong-Zhi Bai;Michele Benzi;Fang Chen;Zeng-Qi Wang

  • Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems

    Michele Benzi;Daniel B. Szyld;Arno van Duin

  • Block preconditioning of real-valued iterative algorithms for complex linear systems

    Michele Benzi;Daniele Bertaccini

  • Preconditioning Highly Indefinite and Nonsymmetric Matrices

    Michele Benzi;John C. Haws;Miroslav Tuma

  • Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics

    Guillaume Alléon;Michele Benzi;Luc Giraud

  • ON THE LIMITING BEHAVIOR OF PARAMETER-DEPENDENT NETWORK CENTRALITY MEASURES ∗

    Michele Benzi;Christine Klymko

  • Decay Properties of Spectral Projectors with Applications to Electronic Structure

    Michele Benzi;Paola Boito;Nader Razouk

  • Ranking hubs and authorities using matrix functions

    Michele Benzi;Ernesto Estrada;Christine Klymko

  • A robust incomplete factorization preconditioner for positive definite matrices

    Michele Benzi;Miroslav Tůma

Frequent Co-Authors

Ernesto Estrada
Ernesto Estrada Institute for Cross-Disciplinary Physics and Complex Systems
Valeria Simoncini
Valeria Simoncini University of Bologna
Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Gene H. Golub
Gene H. Golub Stanford University
Zhong-Zhi Bai
Zhong-Zhi Bai Chinese Academy of Sciences
Daniel B. Szyld
Daniel B. Szyld Temple University
Eldad Haber
Eldad Haber University of British Columbia
Michael K. Ng
Michael K. Ng Hong Kong Baptist University
Martin J. Gander
Martin J. Gander University of Geneva
Howard H. Chang
Howard H. Chang Emory University

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