Applied mathematics, numerical linear algebra and software.

1984 Symposium in Honour of James Wilkinson

In September 1984 a two-day Symposium on Computational Mathematics–State of the Art was held at Argonne National Laboratory in honour of James Hardy Wilkinson on his 65th birthday.

Wilkinson was one of the leading figures in 20th century numerical analysis. He developed the theory and practice of backward error analysis for floating-point computation, and developed, analyzed, and implemented in software many algorithms in numerical linear algebra. Among his many honours, Wilkinson was a Fellow of the Royal Society (elected 1969) and a winner of both the Turing Prize (1970) and the SIAM John von Neumman Lecture award (1970). His legacy endures and in 2019 we celebrated the centenary of his birth with the conference Advances in Numerical Linear Algebra.

The 1984 symposium provided “an overview of the state of the art in several of the major areas of computational mathematics” and “was particularly appropriate for this occasion in view of the many fundamental contributions in computational mathematics made by Professor Wilkinson throughout his distinguished career”.

The symposium attracted more than 260 attendees and comprised ten invited talks by distinguished researchers:

Some Problems in the Scaling of Matrices, G. W. Stewart

Matrix Calculations in Optimization Algorithms, M. J. D. Powell

Numerical Solution of Differential-Algebraic Equations, C. W. Gear

The Requirements of Interactive Data Analysis Systems, Peter J. Huber

Linear Algebra Problems in Multivariate Approximation Theory, C. de Boor

Computational linear Algebra in Continuation and Two Point Boundary Value Problems, H. B. Keller

Second Thoughts on the Mathematical Software Effort: A Perspective, W. J. Cody

Enhanced Resolution in Shock Wave Calculations, James Glimm

Jack Dongarra has provided me with contact prints of photos taken at the workshop. I have scanned some of these and they are shown below.

One of the photos shows Jim Wilkinson with an Apple Mac that was presented to him. He used it to type up several of his later papers. Sadly, Jim died just over two years after the symposium.

2 thoughts on “1984 Symposium in Honour of James Wilkinson”

The Mac we presented to Jim was one of the first “Fat Macs” — “Fat” because it had increased memory, 512 Kilobytes! When I asked Jerome Coonen at Apple if the company would contribute one of the new models to Wilkinson, he said, “Hell yes. We just gave one to Mick Jagger, we can do Wilkie.”

The Mac we presented to Jim was one of the first “Fat Macs” — “Fat” because it had increased memory, 512 Kilobytes! When I asked Jerome Coonen at Apple if the company would contribute one of the new models to Wilkinson, he said, “Hell yes. We just gave one to Mick Jagger, we can do Wilkie.”

Parlett’s talk “Givens’ Eigenvector Recurrence Revisited” is interesting to see again, in light of this recent preprint by Terry Tao and others.