World's Best Scientists 2026 revealed!
Charles R. Johnson

Charles R. Johnson

D-Index & Metrics

Mathematics

D-Index
46
Citations
35464
World Ranking
1305
National Ranking
578

Charles R. Johnson 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 Charles R. Johnson 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: 82 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: 484 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

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

Charles R. Johnson 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 Charles R. Johnson 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: 137 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: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

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

Overview

Charles R. Johnson is affiliated with William & Mary in the United States. Their research spans the fields of Computer Science and Mathematics, with a focus on Computational Theory and Mathematics as well as Geometry and Topology. Their academic output includes numerous publications across these areas, reflecting extensive involvement in both theoretical and applied domains.

The scientist's main research topics include:

  • Matrix Theory and Algorithms
  • Graph theory and applications
  • Graph theory and CDMA systems
  • Multi-Criteria Decision Making
  • Advanced Topics in Algebra
  • Mathematics and Applications
  • Decision-Making and Behavioral Economics

Charles R. Johnson has collaborated frequently with several co-authors, such as Susana Furtado, Ronald L. Smith, Michael J. Tsatsomeros, Gary Charness, and Kenji Toyonaga.

Their recent papers include:

  • Efficient vectors in priority setting methodology, 2024, Annals of Operations Research
  • Efficiency of any weighted geometric mean of the columns of a reciprocal matrix, 2023, Linear Algebra and its Applications
  • The inverse eigenvalue problem for linear trees, 2021, Discrete Mathematics
  • The next generation of experimental research with LLMs, 2025, Nature Human Behaviour
  • Impact of COVID-19 on the Mode of Presentation and Stage at Diagnosis of Colorectal Cancer, 2022, Cureus

Charles R. Johnson's frequent publication venues include:

  • arXiv (Cornell University), 19 publications
  • Linear Algebra and its Applications, 12 publications
  • SSRN Electronic Journal, 12 publications
  • Linear and Multilinear Algebra, 7 publications
  • Special Matrices, 5 publications

Among their scholarly contributions is a book titled Matrix Positivity, published in 2020 by Cambridge University Press.

Best Publications

  • Matrix analysis: Frontmatter

    Roger A. Horn;Charles R. Johnson

  • Positive definite completions of partial Hermitian matrices

    Robert Grone;Charles R. Johnson;Eduardo M. Sá;Henry Wolkowicz

  • Row Stochastic Matrices Similar to Doubly Stochastic Matrices

    Charles R. Johnson

  • The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree

    C.R. Johnson;António Leal Duarte

  • A Gersgorin-type lower bound for the smallest singular value

    Charles R. Johnson

  • NUMERICAL DETERMINATION OF THE FIELD OF VALUES OF A GENERAL COMPLEX MATRIX

    Unknown

  • The Linear Algebra Curriculum Study Group Recommendations for the First Course in Linear Algebra

    David Carlson;Charles R. Johnson;David C. Lay;A. Duane Porter

  • The Parter-Wiener Theorem: Refinement and Generalization

    Charles R. Johnson;António Leal Duarte;Carlos M. Saiago

  • The real and the symmetric nonnegative inverse eigenvalue problems are different

    Charles Johnson;Thomas Laffey;Raphael Loewy

  • Norms for vectors and matrices

    Roger A. Horn;Charles R. Johnson

  • Ranks of Completions of Partial Matrices

    Nir Cohen;Charles R. Johnson;Leiba Rodman;Hugo J. Woerdeman

  • Completely positive matrices associated with M-matrices

    John H Drew;Charles R. Johnson;Raphael Loewy

  • The Euclidian Distance Matrix Completion Problem

    Mihaly Bakonyi;Charles R. Johnson

  • The perron root of a weighted geometric mean of nonneagative matrices

    Ludwig Elsner;Charles R. Johnson;J. A. Dias Da Silva

  • ON THE MINIMUM NUMBER OF DISTINCT EIGENVALUES FOR A SYMMETRIC MATRIX WHOSE GRAPH IS A GIVEN TREE

    Onio Leal-Duarte;Charles R. Johnson

  • On Matrices with Perron–Frobenius Properties and Some Negative Entries

    Charles R. Johnson;Pablo Tarazaga

  • The singular values of a Hadamard product : a basic inequality

    T. Ando;Roger A. Horn;Charles R. Johnson

  • On the Minimum Rank Among Positive Semidefinite Matrices with a Given Graph

    Matthew Booth;Philip Hackney;Benjamin Harris;Charles R. Johnson

  • Sub-direct sums and positivity classes of matrices

    Shaun M. Fallat;Charles R. Johnson

  • Determinantal formulae for matrix completions associated with chordal graphs

    Wayne W. Barrett;Charles R. Johnson;Michael Lundquist;Michael Lundquist

  • The Real Positive Definite Completion Problem: Cycle Completability

    Wayne W. Barrett;Charles R. Johnson;Raphael Loewy

  • Further lower bounds for the smallest singular value

    Charles R. Johnson;Tomasz Szulc

Frequent Co-Authors

Roger A. Horn
Roger A. Horn University of Utah
P. van den Driessche
P. van den Driessche University of Victoria
Shaun M. Fallat
Shaun M. Fallat University of Regina
Henry Wolkowicz
Henry Wolkowicz University of Waterloo
Chi-Kwong Li
Chi-Kwong Li William & Mary
Miroslav Fiedler
Miroslav Fiedler Czech Academy of Sciences
Michael Neumann
Michael Neumann University of Connecticut
Juan Manuel Peña
Juan Manuel Peña University of Zaragoza
Leslie Hogben
Leslie Hogben Iowa State University
William K. Kaufmann
William K. Kaufmann AsystBio (United States)

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