World's Best Scientists 2026 revealed!
Claude Brezinski

Claude Brezinski

D-Index & Metrics

Mathematics

D-Index
52
Citations
15124
World Ranking
942
National Ranking
46

Claude Brezinski 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 Claude Brezinski 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: 316 publications — 87th percentile

87% of scientists in this discipline score the same or lower.

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

Claude Brezinski 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 Claude Brezinski 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.

Overview

Claude Brezinski is a researcher affiliated with the University of Lille in France, specializing in mathematics and computer science. Their work focuses on areas including computational theory and mathematics, numerical analysis, and applied mathematics.

Their research encompasses main topics such as:

  • Matrix Theory and Algorithms
  • Iterative Methods for Nonlinear Equations
  • Fractional Differential Equations Solutions
  • Mathematical Functions and Polynomials
  • History and Theory of Mathematics
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical Methods for Differential Equations

Brezinski has contributed frequently to various academic publication venues, including:

  • Numerical Algorithms
  • Mathematics
  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • Computational Mathematics and Mathematical Physics

Their recent papers include:

  • "Shanks and Anderson-type Acceleration Techniques for Systems of Nonlinear Equations" (2021), published in IMA Journal of Numerical Analysis
  • "A Survey of Shanks' Extrapolation Methods and Their Applications" (2021), published in Computational Mathematics and Mathematical Physics
  • "The Legacy of Peter Wynn" (2021), published in Mathematics
  • "On the Kernel of Vector ε-Algorithm and Related Topics" (2022), published in Numerical Algorithms
  • "Extrapolation and Prediction of Sequences in a Vector Space" (2022), published in Journal of Computational and Applied Mathematics

Brezinski has also authored books published by:

  • Society for Industrial and Applied Mathematics: "A Journey through the History of Numerical Linear Algebra" (2022)
  • Centre National de la Recherche Scientifique: "Extrapolation and Rational Approximation. The Works of the Main Contributors" (2022)

Frequent collaborators include Michela Redivo-Zaglia, Gérard Meurant, Stefano Cipolla, Yousef Saad, and F. Norman. These coauthors have worked with Brezinski on various research projects and publications.

Best Publications

  • Extrapolation Methods: Theory and Practice

    Claude Brezinski;Michela Redivo Zaglia

  • Padé-type approximation and general orthogonal polynomials

    Claude Brezinski

  • Numerical Methods for Engineers and Scientists

    Unknown

  • A survey of matrix theory and matrix inequalities

    Unknown

  • History of Continued Fractions and Padé Approximants

    Claude Brezinski

  • Accélération de la convergence en analyse numérique

    Claude Brezinski

  • A general extrapolation algorithm

    C. Brezinski

  • Measures and Differential Equations in Infinite-Dimensional Space

    Unknown

  • Convergence acceleration during the 20th century

    C. Brezinski

  • Projection methods for systems of equations

    Claude Brezinski

  • Generalisations de la transformation de shanks, de la table de Pade et de l'ε-algorithme

    C. Brezinski

  • A breakdown-free Lanczos type algorithm for solving linear systems

    C. Brezinski;M. Redivo Zaglia;H. Sadok

  • Biorthogonality and its Applications to Numerical Analysis

    Claude Brezinski

  • Avoiding breakdown and near-breakdown in Lanczos type algorithms

    C. Brezinski;M. Redivo Zaglia;H. Sadok

  • Multi-parameter regularization techniques for ill-conditioned linear systems

    Claude Brezinski;Michela Redivo-Zaglia;Giuseppe Rodriguez;Sebastiano Seatzu

  • Extrapolation algorithms and Pade´ approximations: a historical survey

    C. Brezinski

  • Quasi-orthogonality with applications to some families of classical orthogonal polynomials

    C. Brezinski;K. A. Driver;M. Redivo-Zaglia

  • Algorithmes d'Acceleration de la Convergence Etude Numerique.

    R. P. Eddy;Claude Brezinski

  • Other manifestations of the Schur complement

    Claude Brezinski

  • Extrapolation methods

    C. Brezinski;M. Redivo-Zaglia

  • Computational Aspects of Linear Control

    Claude Brezinski

  • Rational approximation to formal power series

    C. Brezinski

  • Special functions of mathematical physics

    Unknown

  • Analysis and control of nonlinear infinite dimensional systems

    Unknown

  • Integral inequalities and applications

    Unknown

  • General orthogonal polynomials

    Claude Brezinski

Frequent Co-Authors

Ahmed Sameh
Ahmed Sameh Purdue University West Lafayette
Yousef Saad
Yousef Saad University of Minnesota
Walter Gautschi
Walter Gautschi Purdue University West Lafayette
Stefano Serra-Capizzano
Stefano Serra-Capizzano University of Insubria

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