H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 69 Citations 18,128 191 World Ranking 130 National Ranking 5
Engineering and Technology D-index 54 Citations 16,787 141 World Ranking 1064 National Ranking 64

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Complex number
  • Eigenvalues and eigenvectors

His primary scientific interests are in Matrix, Mathematical analysis, Condition number, Algorithm and Matrix function. Matrix connects with themes related to Numerical analysis in his study. His Mathematical analysis study combines topics from a wide range of disciplines, such as Invertible matrix, Square root of a matrix, Eigenvalues and eigenvectors, Quadratic eigenvalue problem and Newton's method.

His research on Algorithm focuses in particular on Round-off error. In his research on the topic of Round-off error, Standard algorithms, Gaussian elimination, LU decomposition, Rounding and Pairwise summation is strongly related with Floating point. Nicholas J. Higham has included themes like Matrix exponential, Square matrix and Applied mathematics in his Matrix function study.

His most cited work include:

  • Functions of Matrices: Theory and Computation (1514 citations)
  • Accuracy and stability of numerical algorithms (1474 citations)
  • Accuracy and Stability of Numerical Algorithms (1461 citations)

What are the main themes of his work throughout his whole career to date?

Nicholas J. Higham mainly investigates Matrix, Algorithm, Mathematical analysis, Combinatorics and Applied mathematics. His Eigenvalues and eigenvectors research extends to the thematically linked field of Matrix. His Algorithm research is multidisciplinary, relying on both Numerical analysis, Numerical stability and Schur decomposition.

The various areas that Nicholas J. Higham examines in his Applied mathematics study include Linear system and Numerical linear algebra. His studies in Matrix function integrate themes in fields like Matrix exponential, Square matrix and Discrete mathematics. The study incorporates disciplines such as Fréchet derivative and LU decomposition in addition to Condition number.

He most often published in these fields:

  • Matrix (30.34%)
  • Algorithm (21.36%)
  • Mathematical analysis (16.10%)

What were the highlights of his more recent work (between 2013-2021)?

  • Matrix (30.34%)
  • Algorithm (21.36%)
  • Matrix function (13.31%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Matrix, Algorithm, Matrix function, Floating point and LU decomposition. His research in Matrix intersects with topics in Factorization, Sine, Pure mathematics and Combinatorics. Nicholas J. Higham interconnects Condition number, MATLAB, Arithmetic underflow and Schur decomposition in the investigation of issues within Algorithm.

Nicholas J. Higham has researched Matrix function in several fields, including Matrix exponential, Discrete mathematics, Variety and Hyperbolic function. His Floating point research incorporates themes from Matrix multiplication, Rounding, Numerical linear algebra and Computational science. The concepts of his LU decomposition study are interwoven with issues in Iterative refinement, Linear system and Round-off error.

Between 2013 and 2021, his most popular works were:

  • Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions (66 citations)
  • Harnessing GPU tensor cores for fast FP16 arithmetic to speed up mixed-precision iterative refinement solvers (60 citations)
  • A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems (43 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Complex number
  • Eigenvalues and eigenvectors

The scientist’s investigation covers issues in Matrix, Floating point, Algorithm, Double-precision floating-point format and Applied mathematics. Nicholas J. Higham interconnects Eigenvalues and eigenvectors and Combinatorics in the investigation of issues within Matrix. The various areas that Nicholas J. Higham examines in his Floating point study include Carry and Arithmetic.

His Matrix function research is multidisciplinary, incorporating elements of Matrix exponential, Band matrix and Mathematical analysis. His work deals with themes such as Linear system, Generalized minimal residual method, Arithmetic underflow, Round-off error and Row and column spaces, which intersect with LU decomposition. His Generalized minimal residual method study combines topics from a wide range of disciplines, such as Condition number and Solver.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Accuracy and Stability of Numerical Algorithms

Nicholas J. Higham.
Society for Industrial and Applied Mathematics; 2002. (2002)

5645 Citations

Functions of Matrices: Theory and Computation

Nicholas J. Higham.
Philadelphia, PA, USA: Society for Industrial and Applied Mathematics; 2008. (2008)

2371 Citations

Computing the nearest correlation matrix—a problem from finance

Nicholas J. Higham.
Ima Journal of Numerical Analysis (2002)

917 Citations

MATLAB Guide

Desmond J. Higham;Nicholas J. Higham.
(2000)

771 Citations

COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX

Nicholas J. Higham.
Linear Algebra and its Applications (1988)

694 Citations

The Scaling and Squaring Method for the Matrix Exponential Revisited

Nicholas J. Higham.
SIAM Journal on Matrix Analysis and Applications (2005)

554 Citations

Computing the polar decomposition with applications

Nicholas J Higham.
Siam Journal on Scientific and Statistical Computing (1986)

528 Citations

Functions of matrices

Nicholas J. Higham.
(2008)

428 Citations

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

Awad H. Al-Mohy;Nicholas J. Higham.
SIAM Journal on Scientific Computing (2011)

377 Citations

The numerical stability of barycentric Lagrange interpolation

Nicholas J. Higham.
Ima Journal of Numerical Analysis (2004)

345 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

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

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

Enrique S. Quintana-Ortí

Enrique S. Quintana-Ortí

Universitat Politècnica de València

Publications: 34

Lloyd N. Trefethen

Lloyd N. Trefethen

University of Oxford

Publications: 32

Victor Y. Pan

Victor Y. Pan

City University of New York

Publications: 30

Desmond J. Higham

Desmond J. Higham

University of Edinburgh

Publications: 29

Lothar Reichel

Lothar Reichel

Kent State University

Publications: 28

Stanimire Tomov

Stanimire Tomov

University of Tennessee at Knoxville

Publications: 25

Valeria Simoncini

Valeria Simoncini

University of Bologna

Publications: 25

Paul Van Dooren

Paul Van Dooren

Université Catholique de Louvain

Publications: 25

Something went wrong. Please try again later.