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- James Hardy Wilkinson

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
48
Citations
24,888
90
World Ranking
858
National Ranking
60

1972 - Fellow of the American Statistical Association (ASA)

1970 - John von Neumann Lecturer

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.

- Eigenvalues and eigenvectors
- Algebra
- Matrix

James Hardy Wilkinson mostly deals with Algebra, Applied mathematics, Matrix, Pure mathematics and Round-off error. His Classical orthogonal polynomials research extends to the thematically linked field of Algebra. His Applied mathematics research incorporates elements of Eigenvalue algorithm, Modes of convergence, Matrix splitting, Symmetric matrix and Least squares.

His Matrix research integrates issues from Linear system and Combinatorics. His work carried out in the field of Eigenvalues and eigenvectors brings together such families of science as Canonical form, QR algorithm and Defective matrix. The study incorporates disciplines such as Eigendecomposition of a matrix, Eigenvalue perturbation, Divide-and-conquer eigenvalue algorithm, Matrix analysis and Hermitian matrix in addition to QR algorithm.

- The algebraic eigenvalue problem (5902 citations)
- The Algebraic Eigenvalue Problem (2334 citations)
- Rounding Errors in Algebraic Processes (1254 citations)

James Hardy Wilkinson mostly deals with Eigenvalues and eigenvectors, Matrix, Applied mathematics, Algebra and Numerical analysis. His Eigenvalues and eigenvectors research is multidisciplinary, incorporating perspectives in Canonical form, Defective matrix and Combinatorics. His study looks at the relationship between Matrix and fields such as Algorithm, as well as how they intersect with chemical problems.

His Applied mathematics study combines topics from a wide range of disciplines, such as Tridiagonal matrix algorithm, Eigenvalue algorithm, System of linear equations and Divide-and-conquer eigenvalue algorithm. His research in Divide-and-conquer eigenvalue algorithm intersects with topics in QR algorithm and Eigendecomposition of a matrix. James Hardy Wilkinson combines subjects such as Class, Matrix analysis and Mathematical logic with his study of Hermitian matrix.

- Eigenvalues and eigenvectors (33.67%)
- Matrix (27.55%)
- Applied mathematics (29.59%)

- Eigenvalues and eigenvectors (33.67%)
- Algebra (26.53%)
- Applied mathematics (29.59%)

The scientist’s investigation covers issues in Eigenvalues and eigenvectors, Algebra, Applied mathematics, Computation and Discrete mathematics. The various areas that James Hardy Wilkinson examines in his Eigenvalues and eigenvectors study include Iterative method and Point reflection. Algebra is a component of his Hermitian matrix, Matrix and Linear algebra studies.

His study in Matrix is interdisciplinary in nature, drawing from both Invariant, Type and Linear subspace. The Applied mathematics study combines topics in areas such as Tridiagonal matrix algorithm and Gaussian elimination. His biological study spans a wide range of topics, including Quadratic equation and Elementary divisors.

- IMPROVING THE ACCURACY OF COMPUTED EIGENVALUES AND EIGENVECTORS (82 citations)
- On neighbouring matrices with quadratic elementary divisors (35 citations)
- Numerical considerations in computing invariant subspaces (27 citations)

- Eigenvalues and eigenvectors
- Algebra
- Mathematical analysis

James Hardy Wilkinson mainly focuses on Eigenvalues and eigenvectors, Applied mathematics, Elementary divisors, Discrete mathematics and Defective matrix. His Eigenvalues and eigenvectors study is related to the wider topic of Algebra. His work deals with themes such as Inverse iteration, Linear system, Residual and Iterative method, which intersect with Applied mathematics.

His Elementary divisors research incorporates themes from Quadratic equation and Numerical analysis.

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.

The algebraic eigenvalue problem

J. H. Wilkinson.

**(1965)**

11436 Citations

The algebraic eigenvalue problem

J. H. Wilkinson.

**(1965)**

11436 Citations

The Algebraic Eigenvalue Problem

J. H. Wilkinson.

Mathematics of Computation **(1966)**

3813 Citations

The Algebraic Eigenvalue Problem

J. H. Wilkinson.

Mathematics of Computation **(1966)**

3813 Citations

Rounding Errors in Algebraic Processes

James H. Wilkinson.

**(1964)**

2659 Citations

Rounding Errors in Algebraic Processes

James H. Wilkinson.

**(1964)**

2659 Citations

Error Analysis of Direct Methods of Matrix Inversion

J. H. Wilkinson.

Journal of the ACM **(1961)**

552 Citations

Error Analysis of Direct Methods of Matrix Inversion

J. H. Wilkinson.

Journal of the ACM **(1961)**

552 Citations

AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX

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

SIAM Journal on Numerical Analysis **(1979)**

439 Citations

AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX

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

SIAM Journal on Numerical Analysis **(1979)**

439 Citations

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