Nicholas J. Higham

23.4k citations
286 papers · 15.8k · 5 hit papers · h-index 61

Impact in

Papers in

Nicholas J. Higham

262 papers receiving 14.2k citations

Nicholas J. Higham's Hit Papers

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators 2011 · 315 citations
3150+12+25Years since publication50010001.5k2.0k2.5k

Peers

Nicholas J. Higham
Comparison fields: 5 of 194
  • Numerical Analysis 5.0k
  • Computational Mathematics 524
  • Computational Theory and Mathematics 8.3k
  • Hardware and Architecture 1.2k
  • Statistical and Nonlinear Physics 1.7k
Replace Yousef Saad with:
Yousef Saad United States
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James Demmel United States
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H.A. van der Vorst Netherlands
Wolfgang Hackbusch Germany
C Moler United States
Lloyd N. Trefethen United Kingdom
Roger A. Horn United States
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Citations per year

Countries citing papers authored by Nicholas J. Higham

Since Specialization
Citations

This map shows the geographic impact of Nicholas J. Higham's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Nicholas J. Higham with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Nicholas J. Higham more than expected).

Fields of papers citing papers by Nicholas J. Higham

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Nicholas J. Higham. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Nicholas J. Higham. The network helps show where Nicholas J. Higham may publish in the future.

Co-authors

The 25 scholars most cited alongside Nicholas J. Higham, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Nicholas J. Higham Line = papers co-authored together Nicholas J. Higham links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 286 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Accuracy and Stability of Numerical Algorithms
Hit paper breakdown →
20022510
2
Functions of Matrices
Hit paper breakdown →
20081359
3
Computing the nearest correlation matrix--a problem from finance
Hit paper breakdown →
2002604
4
Computing a nearest symmetric positive semidefinite matrix
Hit paper breakdown →
1988516
5 2005384
6
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
Hit paper breakdown →
2011315
7 1986308
8 2004249
9 2009245
10 1993186
11
MATLAB Guide
2000185
12 2013176
13 2006171
14
MATRIX NEARNESS PROBLEMS AND APPLICATIONS
1989168
15
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
2008153
16 1990149
17 1987148
18 1988139
19 2009139
20 2018135

About Nicholas J. Higham

Nicholas J. Higham is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Computational Mechanics, Atomic and Molecular Physics, and Optics and Hardware and Architecture, having authored 286 papers that have together received 15.8k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (177 papers), Advanced Optimization Algorithms Research (71 papers), Numerical Methods and Algorithms (60 papers), Numerical methods for differential equations (40 papers), Electromagnetic Scattering and Analysis (25 papers), Iterative Methods for Nonlinear Equations (22 papers), Parallel Computing and Optimization Techniques (22 papers) and Tensor decomposition and applications (17 papers). The work is most often cited by research in Numerical Analysis (5.0k citations), Computational Mathematics (524 citations), Computational Theory and Mathematics (8.3k citations), Hardware and Architecture (1.2k citations) and Statistical and Nonlinear Physics (1.7k citations). Nicholas J. Higham has collaborated with scholars based in United Kingdom, United States and France. Frequent co-authors include Awad H. Al-Mohy, Françoise Tisseur, Desmond J. Higham, Théo Mary, Erin Carson, D. Steven Mackey, Chun‐Hua Guo, James Demmel, Jack Dongarra and Srikara Pranesh. Their work appears in journals such as SIAM Journal on Matrix Analysis and Applications, SIAM Journal on Scientific Computing, Linear Algebra and its Applications, ACM Transactions on Mathematical Software and IMA Journal of Numerical Analysis.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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