… The book builds on James Wilkinson’s 20 years of … after Turing left for Cambridge Wilkinson
led the group that continued … A Cambridge educated mathematician, Wilkinson was perfectly …

1. In order to assess the relative effectiveness of methods of inverting a matrix it is useful to
have a priori bounds for the errors in the computed inverses. In this paper we determine such …

… by Jim’s three sisters Their father, James William Wilkinson, was the 12th child of a Kent …
Charlotte Hardy, born in the Potteries and the third child of a family of five. James William was …

The solution of the complete eigenvalue problem for a nonnormal matrix A presents severe
practical difficulties when A is defective or close to a defective matrix. Moreover, in the …

… Peters and JH Wilkinson … m) of A, as described, for example, by Wilkinson (1965); it
has its first s – 1 components equal to zero, and the pre-multiplication leaves rows l to s – 1 …

A description is given of life with AM Turing at the National Physical Laboratory in the early
days of the development of electronic computers (1946--1948). The present mood of …

In this paper four methods of solving simultaneous equations and inverting matrices are
described from the viewpoint of the practical computer. The first three methods can be performed …

… it available at nla-group.org/ james-hardy-wilkinson, which is a webpage where we are
collecting information about Wilkinson. Wilkinson went to Cambridge when he had just turned …

This paper describes and analyzes several variants of a computational method for improving
the numerical accuracy of, and for obtaining numerical bounds on, matrix eigenvalues and …

This paper examines the behavior of the QZ algorithm which is to be expected when A− λB
is close to a singular pencil. The predicted results are fully confirmed by practical experience …