2026 James Hardy Wilkinson: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	53	867	68	100	28811

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

867

100

28811

Research.com Recognitions

1972 - Fellow of the American Statistical Association (ASA)
1970 - A. M. Turing Award For his research in numerical analysis to facilitiate the use of the high-speed digital computer, having received special recognition for his work in computations in linear algebra and "backward" error analysis.
1970 - John von Neumann Lecturer

Overview

James Hardy Wilkinson was affiliated with the National Physical Laboratory in the United Kingdom. Their research primarily focused on numerical analysis, particularly concerning computations in linear algebra and error analysis.

Wilkinson published a book titled Rounding Errors in Algebraic Processes in 2023, which was released by the Society for Industrial and Applied Mathematics. This publication has been cited multiple times, reflecting its relevance in the field.

Their contributions were recognized through several awards. In 1970, Wilkinson received the A. M. Turing Award for research that advanced the use of high-speed digital computers, with special acknowledgment for work in linear algebra computations and backward error analysis. The same year, Wilkinson was honored as the John von Neumann Lecturer. Additionally, Wilkinson was named a Fellow of the American Statistical Association (ASA) in 1972.

Best Publications

The algebraic eigenvalue problem

J. H. Wilkinson

11438
Citations
The Algebraic Eigenvalue Problem

J. H. Wilkinson

4003
Citations
Rounding Errors in Algebraic Processes

James H. Wilkinson

2672
Citations
Error Analysis of Direct Methods of Matrix Inversion

J. H. Wilkinson

585
Citations
AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX

A. K. Cline;C. B. Moler;G. W. Stewart;J. H. Wilkinson

473
Citations
Ill-conditioned eigensystems and the computation of the Jordan canonical form.

Gene H. Golub;James H. Wilkinson

415
Citations
The least squares problem and pseudo-inverses

G. Peters;James Hardy Wilkinson

321
Citations
Inverse Iteration, Ill-Conditioned Equations and Newton’s Method

G. Peters;J. H. Wilkinson

297
Citations
The evaluation of the zeros of ill-conditioned polynomials. Part II

J. H. Wilkinson

285
Citations
Handbook for Automatic Computation. Vol II, Linear Algebra

J. H. Wilkinson;C. Reinsch

268
Citations
Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

W. Barth;R. S. Martin;J. H. Wilkinson

218
Citations
Modern Error Analysis

J. H. Wilkinson

217
Citations
Error analysis of floating-point computation

J. H. Wilkinson

199
Citations
Note on the iterative refinement of least squares solution

G. H. Golub;J. H. Wilkinson

179
Citations
NOTES ON THE SOLUTION OF ALGEBRAIC LINEAR SIMULTANEOUS EQUATIONS

L. Fox;H. D. Huskey;J. H. Wilkinson

163
Citations
Symmetric decomposition of a positive definite matrix

R. S. Martin;G. Peters;J. H. Wilkinson

161
Citations
Householder's Method for the Solution of the Algebraic Eigenproblem

James Hardy Wilkinson

150
Citations
Note on the quadratic convergence of the cyclic Jacobi process

J. H. Wilkinson

139
Citations
IMPROVING THE ACCURACY OF COMPUTED EIGENVALUES AND EIGENVECTORS

J. J. Dongarra;Cleve B. Moler;J. H. Wilkinson

133
Citations
$Ax = \lambda Bx$ and the Generalized Eigenproblem

Unknown

133
Citations
The Symmetric Eigenvalue Problem.

James H. Wilkinson;Beresford N. Parlett

62
Citations
Rounding Errors in Algebraic Processes

J. H. Wilkinson

46
Citations

Frequent Co-Authors

Jack Dongarra University of Tennessee at Knoxville

Gene H. Golub Stanford University

Richard S. Varga Kent State University

Beresford N. Parlett University of California, Berkeley

G. W. Stewart University of Maryland, College Park

External Links

Wikipedia of James Hardy Wilkinson Personal website of James Hardy Wilkinson

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