James H. Wilkinson
#5,360
Most Influential Person Across History
English mathematician
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James H. Wilkinsonmathematics Degrees
Mathematics
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Applied Mathematics
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Measure Theory
#486
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Mathematics
Why Is James H. Wilkinson Influential?
(Suggest an Edit or Addition)According to Wikipedia, James Hardy Wilkinson FRS was a prominent figure in the field of numerical analysis, a field at the boundary of applied mathematics and computer science particularly useful to physics and engineering.
James H. Wilkinson's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The algebraic eigenvalue problem (1966) (7766)
- Rounding errors in algebraic processes (1964) (983)
- Error Analysis of Direct Methods of Matrix Inversion (1961) (396)
- AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX (1979) (325)
- Handbook for Automatic Computation. Vol II, Linear Algebra (1973) (270)
- Linear algebra (1971) (263)
- The Least Squares Problem and Pseudo-Inverses (1970) (249)
- Inverse Iteration, Ill-Conditioned Equations and Newton’s Method (1979) (222)
- The evaluation of the zeros of ill-conditioned polynomials. Part I (1959) (170)
- Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection (1962) (145)
- Modern Error Analysis (1971) (143)
- Ill-conditioned eigensystems and the computation of the Jordan canonical form (1975) (122)
- $Ax = \lambda Bx$ and the Generalized Eigenproblem (1970) (118)
- Symmetric decomposition of a positive definite matrix (1965) (114)
- Error analysis of floating-point computation (1960) (111)
- Note on the quadratic convergence of the cyclic Jacobi process (1962) (107)
- Note on the iterative refinement of least squares solution (1966) (105)
- NOTES ON THE SOLUTION OF ALGEBRAIC LINEAR SIMULTANEOUS EQUATIONS (1948) (104)
- IMPROVING THE ACCURACY OF COMPUTED EIGENVALUES AND EIGENVECTORS (1983) (97)
- Householder's tridiagonalization of a symmetric matrix (1968) (95)
- Householder's Method for the Solution of the Algebraic Eigenproblem (1960) (92)
- Similarity reduction of a general matrix to Hessenberg form (1968) (92)
- Global convergene of tridiagonal QR algorithm with origin shifts (1968) (90)
- Kronecker''s canonical form and the QZ algorithm (1979) (90)
- Reduction of the symmetric eigenproblemAx=λBx and related problems to standard form (1968) (90)
- The Calculation of the Eigenvectors of Codiagonal Matrices (1958) (90)
- Linear Differential Equations and Kronecker's Canonical Form (1978) (84)
- TheQ R algorithm for real hessenberg matrices (1970) (77)
- Eigenvalues of Ax = λBx with band symmetric A and B (1969) (77)
- Symmetric decomposition of positive definite band matrices (1965) (75)
- Note on matrices with a very ill-conditioned eigenproblem (1972) (73)
- Reliable Numerical Computation. (1992) (72)
- Convergence of the LR, QR, and Related Algorithms (1965) (70)
- TheQR andQL algorithms for symmetric matrices (1968) (70)
- Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices (1967) (69)
- The QR and QL Algorithms for Symmetric Matrices (1971) (65)
- Practical Problems Arising in the Solution of Polynomial Equations (1971) (62)
- Eigenvectors of real and complex matrices byLR andQR triangularizations (1970) (61)
- On the stability of Gauss-Jordan elimination with pivoting (1975) (58)
- Iterative refinement of the solution of a positive definite system of equations (1966) (52)
- Solution of real and complex systems of linear equations (1966) (52)
- The Calculation of Specified Eigenvectors by Inverse Iteration (1971) (50)
- Householder's method for symmetric matrices (1962) (49)
- Rigorous Error Bounds for Computer Eigensystems (1961) (47)
- Some Comments from a Numerical Analyst (1971) (44)
- Realistic error bounds for a simple eigenvalue and its associated eigenvector (1980) (43)
- Almost diagonal matrices with multiple or close eigenvalues (1967) (42)
- The implicit QL algorithm (1971) (39)
- The implicitQL algorithm (1968) (38)
- Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration (1962) (38)
- Note on the practical significance of the Drazin inverse (1979) (38)
- Numerical Considerations in Computing Invariant Subspaces (1992) (37)
- On neighbouring matrices with quadratic elementary divisors (1984) (37)
- The eigenvalue problem for Hermitian matrices with time reversal symmetry (1984) (32)
- The calculation of the latent roots and vectors of matrices on the pilot model of the A.C.E. (1954) (26)
- A HANDBOOK OF NUMERICAL MATRIX INVERSION AND SOLUTION OF LINEAR EQUATIONS (1970) (24)
- Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection (1967) (23)
- The modifiedLR algorithm for complex Hessenberg matrices (1968) (22)
- Solving the Secular Equation Including Spin Orbit Coupling for Systems with Inversion and Time Reversal Symmetry (1984) (21)
- A Posteriori Error Bounds for Gaussian Elimination (1982) (21)
- Error Analysis of Eigenvalue Techniques Based on Orthogonal Transformations (1962) (21)
- The Lanczos algorithm for the symmetric Ax = $\lambda$Bx problem. (1972) (20)
- The evaluation of the zeros of ill-conditioned polynomials. Part II (1959) (19)
- Stability of the Reduction of a Matrix to Almost Triangular and Triangular Forms by Elementary Similarity Transformations (1959) (19)
- The Calculation of Eigenvectors by the Method of Lanczos (1958) (19)
- Admissible Solutions of Linear Systems with Not Sharply Defined Coefficients (1965) (18)
- Elementary proof of the Wielandt-Hoffman Theorem and of its generalization (1970) (17)
- Two algorithms based on successive linear interpolation (1967) (14)
- The calculation of Lamé polynomials (1965) (13)
- The QR Algorithm for Real Symmetric Matrices with Multiple Eigenvalues (1965) (13)
- Turing's Work at the National Physical Laboratory and the Construction of Pilot ACE, DEUCE, and ACE (1980) (12)
- A Discussion on Computing Machines (1948) (10)
- The Pilot ACE at the National Physical Laboratory (1975) (10)
- TheQ R algorithm for band symmetric matrices (1970) (8)
- The use of iterative methods for finding the latent roots and vectors of matrices (1955) (8)
- The pilot ACE (1989) (6)
- On a theorem of Feingold (1987) (6)
- Linear algebra on the pilot ACE (1989) (5)
- An Automatic Computing Engine for the National Physical Laboratory (1948) (5)
- An assessment of the system of optimum coding used on the Pilot Automatic Computing Engine at the National Physical Laboratory (1955) (4)
- Signum Panel on the Future of Numerical Mathematics. (1971) (4)
- An Efficient Scheme for the Co-diagonalization of a Symmetric Matrix by Givens' Method in a Computer with a Two-level Store (1961) (4)
- A note on Gerschgorin's inclusion theorem for eigenvalues of matrices (1970) (4)
- Instability of the Elimination Method of Reducing a Matrix to Tri-diagonal Form (1962) (4)
- Global convergence of QR algorithm (1968) (2)
- Electronic computing machines and their uses (1955) (2)
- Contribution IIf 16 The Modified LR Algorithm for Complex Hessenberg Matrices (1971) (1)
- Efficient Realization Structure of the A Priori Lattice- Ladder Recursive Least Squares Algorithm (1991) (1)
- Remarks on algorithms 2 and 3 (1961) (1)
- Alston S. Householder Award (1973) (1)
- The Alston S. Householder Award (1978) (1)
- The New Similarity Rules Applied to Argon Microwave Noise Sources (1977) (0)
- Contribution IIJ3 The QR and QL AIgürithms für Symmetrie Matriees (1971) (0)
- Contribution II/14 The Q R Algorithm for Real Hessenberg Matrices * (1971) (0)
- Contribution 1I/10 Reduetion of the Symmetrie Eigenproblem Ax='ABx and Related Problems to Standard Form * (1971) (0)
- Coding on automatic digital computing machines (1989) (0)
- The Q R Algorithm for Band Symmetrie Matriees (1971) (0)
- The Q R algorithm with shifts of origin may be used to determine the eigen values of a band symmetrie matrix A. The algorithm is deseribed by the relations (1971) (0)
- Contribution IIf 5 Caleulation of the Eigenvalues of aSymmetrie Tridiagonal Matrix by the Method of Biseetion (1971) (0)
- A note on the maximum resultant shear in the aeolotropic torsion problem (1961) (0)
- Introductory remarks (1971) (0)
- Audio in the DVTR (1986) (0)
- Symmetrie Deeomposition of Positive Definite Band Matriees (1971) (0)
- LAPACK Working Note 25: Numerical Consideration in Computing Invariant Subspaces (1990) (0)
- Review: Book Review (1962) (0)
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