What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- The algebraic eigenvalue problem (5902 citations)
- The Algebraic Eigenvalue Problem (2334 citations)
- Rounding Errors in Algebraic Processes (1254 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Eigenvalues and eigenvectors (33.67%)
- Matrix (27.55%)
- Applied mathematics (29.59%)
What were the highlights of his more recent work (between 1980-2007)?
- Eigenvalues and eigenvectors (33.67%)
- Algebra (26.53%)
- Applied mathematics (29.59%)
In recent papers he was focusing on the following fields of study:
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.
Between 1980 and 2007, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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