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- Publications
- Influence
The algebraic eigenvalue problem
- J. H. Wilkinson
- Mathematics
- 1 October 1966
Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of… Expand
Rounding errors in algebraic processes
- J. H. Wilkinson
- Mathematics, Computer Science
- IFIP Congress
- 1 October 1964
Error Analysis of Direct Methods of Matrix Inversion
- J. H. Wilkinson
- Computer Science
- JACM
- 1 July 1961
TLDR
Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
- G. Peters, J. H. Wilkinson
- Mathematics
- 1 July 1979
Inverse iteration is one of the most widely used algorithms in practical linear algebra but an understanding of its main numerical properties has developed piecemeal over the last thirty years: a… Expand
AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX
- A. K. Cline, C. Moler, G. W. Stewart, J. H. Wilkinson
- Mathematics
- 1 April 1979
It is important in practice when solving linear systems to have an economical method for estimating the condition number $\kappa (A)$ of the matrix of coefficients. An algorithm involving $O(n^2 )$… Expand
Note on matrices with a very ill-conditioned eigenproblem
- J. H. Wilkinson
- Mathematics
- 1 April 1972
SummaryGives a bound for the distance of a matrix having an ill-conditioned eigenvalue problem from a matrix having a multiple eigenvalue which is generally sharper than that which has been published… Expand
The Least Squares Problem and Pseudo-Inverses
- G. Peters, J. H. Wilkinson
- Mathematics, Computer Science
- Comput. J.
- 1970
Error analysis of floating-point computation
- J. H. Wilkinson
- Mathematics
- 1 December 1960
This paper consists of two main sections. In the first the bounds are derived for the rounding errors made in the fundamental floating-point arithmetic operations. In the second, these results are… Expand
Note on the quadratic convergence of the cyclic Jacobi process
- J. H. Wilkinson
- Mathematics
- 1 December 1962
Ill-conditioned eigensystems and the computation of the Jordan canonical form
- G. Golub, J. H. Wilkinson
- Mathematics, Computer Science
- Milestones in Matrix Computation
- 1 February 1975
TLDR