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Nicholas J. Higham

Nicholas J. Higham

University of Manchester
United Kingdom

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Mathematics
UK
2022

D-Index & Metrics

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Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 81 134 9 318 33450
Engineering and Technology 79 559 37 303 32308

Nicholas J. Higham publications per year

The chart shows the history of publications by Nicholas J. Higham between 1975 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Nicholas J. Higham published across 52 years, from 1975 to 2026, averaging 8.4 papers a year. Output peaked at 33 publications in 2002. 5 of the 436 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1975 to 2026. Vertical axis: number of publications, 0 to 33. Peak 33 publications in 2002. 1975: 1 publication 1976: 0 publications 1977: 0 publications 1978: 1 publication 1979: 0 publications 1980: 0 publications 1981: 0 publications 1982: 0 publications 1983: 2 publications 1984: 0 publications 1985: 2 publications 1986: 3 publications 1987: 4 publications 1988: 5 publications 1989: 6 publications 1990: 13 publications 1991: 6 publications 1992: 10 publications 1993: 13 publications 1994: 9 publications 1995: 6 publications 1996: 3 publications 1997: 7 publications 1998: 20 publications 1999: 9 publications 2000: 9 publications 2001: 9 publications 2002: 33 publications 2003: 5 publications 2004: 6 publications 2005: 24 publications 2006: 12 publications 2007: 10 publications 2008: 20 publications 2009: 9 publications 2010: 9 publications 2011: 8 publications 2012: 13 publications 2013: 13 publications 2014: 16 publications 2015: 23 publications 2016: 17 publications 2017: 5 publications 2018: 7 publications 2019: 8 publications 2020: 13 publications 2021: 24 publications 2022: 10 publications 2023: 6 publications 2024: 2 publications 2025: 4 publications 2026: 1 publication
1975 2026

436 publications in total across all disciplines

View publications per year as a table
Nicholas J. Higham: publications per year, 1975 to 2026
Year Publications
1975 1
1976 0
1977 0
1978 1
1979 0
1980 0
1981 0
1982 0
1983 2
1984 0
1985 2
1986 3
1987 4
1988 5
1989 6
1990 13
1991 6
1992 10
1993 13
1994 9
1995 6
1996 3
1997 7
1998 20
1999 9
2000 9
2001 9
2002 33
2003 5
2004 6
2005 24
2006 12
2007 10
2008 20
2009 9
2010 9
2011 8
2012 13
2013 13
2014 16
2015 23
2016 17
2017 5
2018 7
2019 8
2020 13
2021 24
2022 10
2023 6
2024 2
2025 4
2026 1
Total 436
Download as CSV

Nicholas J. Higham publications per year - data summary

  • Nicholas J. Higham, a Mathematics scholar from University of Manchester, has 436 publications recorded across 52 years, from 1975 to 2026.
  • The oldest publication on record dates to 1975 and the most recent to 2026.
  • The most productive year is 2002, with 33 publications.
  • The least productive years with any output are 1975, 1978 and 2026, with 1 publication each.
  • 7 of the 52 years in the span carry no publications at all (1976, 1977, 1979, 1980 and others).
  • The rate of publication averages 8.4 papers per year over the whole span, or 9.7 per year counting only the 45 years with at least one publication.
  • The last 5 years on the chart (2022-2026) hold 23 publications, 5% of the career total.
  • Split into equal eras - 1975-1992: 53 publications (2.9 per year); 1993-2010: 213 publications (11.8 per year); 2011-2026: 170 publications (10.6 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Nicholas J. Higham 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 Nicholas J. Higham sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 317–321 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 318 publications — 88th percentile

88% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13 318
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Nicholas J. Higham publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Nicholas J. Higham, a Mathematics scholar from University of Manchester, records 318 publications - the 88th percentile of the discipline.
  • 88% of ranked Mathematics scientists score the same or lower than Nicholas J. Higham, and about 12% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Nicholas J. Higham ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Nicholas J. Higham 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 Nicholas J. Higham sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 81 D-Index, is where this scientist sits. 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: 81 D-Index — 96th percentile

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

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10 81
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Nicholas J. Higham D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Nicholas J. Higham, a Mathematics scholar from University of Manchester, records 81 D-Index - the 96th percentile of the discipline.
  • 96% of ranked Mathematics scientists score the same or lower than Nicholas J. Higham, and about 4% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Nicholas J. Higham ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Research.com Recognitions

  • 2022 - Research.com Mathematics in United Kingdom Leader Award
  • 2020 - ACM Fellow For contributions to numerical linear algebra, numerical stability analysis, and communication of mathematics
  • 2016 - Member of Academia Europaea
  • 2009 - SIAM Fellow For contributions to numerical linear algebra and rounding error analysis.
  • 2007 - Fellow of the Royal Society, United Kingdom

Overview

Nicholas J. Higham was affiliated with the University of Manchester in the United Kingdom. Their research primarily focused on computer science with a specialization in numerical linear algebra and related computational methods.

The main fields of study included:

  • Computer Science

Within this broad field, their work concentrated on several subfields:

  • Computational Theory and Mathematics
  • Hardware and Architecture
  • Electrical and Electronic Engineering
  • Computational Mechanics
  • Numerical Analysis

Key topics covered in their research were:

  • Matrix Theory and Algorithms
  • Numerical Methods and Algorithms
  • Parallel Computing and Optimization Techniques
  • Polynomial and algebraic computation
  • Low-power high-performance VLSI design
  • Advanced Optimization Algorithms Research
  • Sparse and Compressive Sensing Techniques

Higham was the author and co-author of several publications. Notable recent papers included:

  • "Mixed precision algorithms in numerical linear algebra", 2022, Acta Numerica
  • "A survey of numerical linear algebra methods utilizing mixed-precision arithmetic", 2021, The International Journal of High Performance Computing Applications
  • "Accurately computing the log-sum-exp and softmax functions", 2020, IMA Journal of Numerical Analysis
  • "Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores", 2020, SIAM Journal on Scientific Computing
  • "Stochastic Rounding and Its Probabilistic Backward Error Analysis", 2021, SIAM Journal on Scientific Computing

Frequent collaborators included:

  • Théo Mary
  • Massimiliano Fasi
  • Jack Dongarra
  • Srikara Pranesh
  • Stanimire Tomov

Higham's work appeared frequently in prominent venues such as:

  • SIAM Journal on Scientific Computing
  • SIAM Journal on Matrix Analysis and Applications
  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • PeerJ Computer Science

Higham also contributed to book publications under the Society for Industrial and Applied Mathematics:

  • Handbook of Writing for the Mathematical Sciences, Third Edition (2020)
  • How to Be Creative (2022)

During their career, Higham received several distinctions including:

  • ACM Fellow (2020) for contributions to numerical linear algebra, numerical stability analysis, and communication of mathematics
  • Member of Academia Europaea (2016)
  • SIAM Fellow (2009) for contributions to numerical linear algebra and rounding error analysis
  • Fellow of the Royal Society, United Kingdom (2007)

Best Publications

  • Accuracy and stability of numerical algorithms

    Nicholas J. Higham

  • Functions of Matrices: Theory and Computation

    Nicholas J. Higham

  • Computing the nearest correlation matrix—a problem from finance

    Nicholas J. Higham

  • The Scaling and Squaring Method for the Matrix Exponential Revisited

    Nicholas J. Higham

  • COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX

    Nicholas J. Higham

  • MATLAB Guide

    Desmond J. Higham;Nicholas J. Higham

  • Computing the polar decomposition with applications

    Nicholas J Higham

  • Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators

    Awad H. Al-Mohy;Nicholas J. Higham

  • Functions of matrices

    Nicholas J. Higham

  • The numerical stability of barycentric Lagrange interpolation

    Nicholas J. Higham

  • A New Scaling and Squaring Algorithm for the Matrix Exponential

    Awad H. Al-Mohy;Nicholas J. Higham

  • The accuracy of floating point summation

    Nicholas J. Higham

  • NLEVP: A Collection of Nonlinear Eigenvalue Problems

    Timo Betcke;Nicholas J. Higham;Volker Mehrmann;Christian Schröder

  • Handbook of Writing for the Mathematical Sciences

    Nicholas J. Higham

  • MATRIX NEARNESS PROBLEMS AND APPLICATIONS

    N J Higham

  • Computing real square roots of a real matrix

    Nicholas J. Higham

  • Analysis of the Cholesky Decomposition of a Semi-definite Matrix

    Nicholas J. Higham

  • Computing $A^lpha, \log(A)$, and Related Matrix Functions by Contour Integrals

    Nicholas Hale;Nicholas J. Higham;Lloyd N. Trefethen

  • FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation

    Nicholas J. Higham

  • Stable iterations for the matrix square root

    Nicholas J. Higham

Frequent Co-Authors

Françoise Tisseur
Françoise Tisseur University of Manchester
Jack Dongarra
Jack Dongarra University of Tennessee at Knoxville
Mark R. Dennis
Mark R. Dennis University of Birmingham
Desmond J. Higham
Desmond J. Higham University of Edinburgh
James Demmel
James Demmel University of California, Berkeley
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Robert Schreiber
Robert Schreiber Cerebras Systems
David Topping
David Topping University of Manchester
Gordon McFiggans
Gordon McFiggans University of Manchester

External Links

Wikipedia of Nicholas J. Higham Personal website of Nicholas J. Higham Google Scholar page

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Best Scientists Citing Nicholas J. Higham

Jack Dongarra

Jack Dongarra

University of Tennessee at Knoxville

Publications: 91

Siegfried M. Rump

Siegfried M. Rump

Hamburg University of Technology

Publications: 83

Daniel Kressner

Daniel Kressner

École Polytechnique Fédérale de Lausanne

Publications: 66

Yimin Wei

Yimin Wei

Fudan University

Publications: 61

James Demmel

James Demmel

University of California, Berkeley

Publications: 59

Peter Benner

Peter Benner

Max Planck Institute for Dynamics of Complex Technical Systems

Publications: 54

Robert M. Corless

Robert M. Corless

University of Western Ontario

Publications: 45

Volker Mehrmann

Volker Mehrmann

Technical University of Berlin

Publications: 41

Dario Andrea Bini

Dario Andrea Bini

University of Pisa

Publications: 38

Juan Manuel Peña

Juan Manuel Peña

University of Zaragoza

Publications: 34

Enrique S. Quintana-Ortí

Enrique S. Quintana-Ortí

Universitat Politècnica de València

Publications: 34

Felipe Cucker

Felipe Cucker

City University of Hong Kong

Publications: 33

Lloyd N. Trefethen

Lloyd N. Trefethen

University of Oxford

Publications: 32

Françoise Tisseur

Françoise Tisseur

University of Manchester

Publications: 31

Victor Y. Pan

Victor Y. Pan

City University of New York

Publications: 30

Desmond J. Higham

Desmond J. Higham

University of Edinburgh

Publications: 29

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