2026 Nicholas J. Higham: Mathematics Researcher – H-Index, Publications & Awards

D-Index & Metrics

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	81	134	9	318	33450
Engineering and Technology	79	558	37	303	32308

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

134

318

33450

Engineering and Technology

558

303

32308

Mathematics

D-Index

Citations

33450

World Ranking

134

National Ranking

Engineering and Technology

D-Index

Citations

32308

World Ranking

558

National Ranking

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

9008
Citations
Functions of Matrices: Theory and Computation

Nicholas J. Higham

2989
Citations
Computing the nearest correlation matrix—a problem from finance

Nicholas J. Higham

1175
Citations
The Scaling and Squaring Method for the Matrix Exponential Revisited

Nicholas J. Higham

941
Citations
COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX

Nicholas J. Higham

914
Citations
MATLAB Guide

Desmond J. Higham;Nicholas J. Higham

825
Citations
Computing the polar decomposition with applications

Nicholas J Higham

594
Citations
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators

Awad H. Al-Mohy;Nicholas J. Higham

555
Citations
Functions of matrices

Nicholas J. Higham

476
Citations
The numerical stability of barycentric Lagrange interpolation

Nicholas J. Higham

435
Citations
A New Scaling and Squaring Algorithm for the Matrix Exponential

Awad H. Al-Mohy;Nicholas J. Higham

419
Citations
The accuracy of floating point summation

Nicholas J. Higham

380
Citations
NLEVP: A Collection of Nonlinear Eigenvalue Problems

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

359
Citations
Handbook of Writing for the Mathematical Sciences

Nicholas J. Higham

352
Citations
MATRIX NEARNESS PROBLEMS AND APPLICATIONS

N J Higham

347
Citations
Computing real square roots of a real matrix

Nicholas J. Higham

300
Citations
Analysis of the Cholesky Decomposition of a Semi-definite Matrix

Nicholas J. Higham

296
Citations
Computing $A^lpha, \log(A)$, and Related Matrix Functions by Contour Integrals

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

274
Citations
FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation

Nicholas J. Higham

261
Citations
Stable iterations for the matrix square root

Nicholas J. Higham

254
Citations

Frequent Co-Authors

Françoise Tisseur University of Manchester

Jack Dongarra University of Tennessee at Knoxville

Mark R. Dennis University of Birmingham

Desmond J. Higham University of Edinburgh

James Demmel University of California, Berkeley

Volker Mehrmann Technical University of Berlin

Iain S. Duff Rutherford Appleton Laboratory

Robert Schreiber Cerebras Systems

David Topping University of Manchester

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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