Rounding Errors in Algebraic Processes

James Hardy Wilkinson (1919--1986) was a pioneer in numerical analysis. He graduated in pure mathematics from Trinity College, Cambridge in 1939 and was then drafted into military work with the British Government Ministry of Supply. After World War II ended, he joined Alan Turing at the UK National Physical Laboratory, where he remained his entire career. By 1974 he had become a Special Merit Chief Scientific Officer, a rare appointment. He was elected to the Royal Society in 1969, and in 1970 received both the A. M. Turing award from the Association of Computing Machinery and the John von Neumann award from SIAM. Other honors include being elected Distinguished Fellow of the British Computer Society in 1974 and the MAA Chauvenet Prize in 1987. Argonne National Laboratory has a Wilkinson Postdoctoral Fellowship in Scientific Computing for early career scientists, and SIAM has two prizes that recognize Wilkinson's contributions: the James H. Wilkinson Prize for Numerical Software and the James H. Wilkinson Prize in Numerical Analysis and Scientific Computing, both intended to encourage early career researchers.

[This book] combines a rigorous mathematical analysis with a practicality that stems from an obvious first-hand contact with the actual numerical computation. The well-chosen examples alone show vividly both the importance of the study of rounding errors and the perils of its neglect. A. A. Grau, SIAM Review (1966)