01 · A life in computing
The person behind the work
James Wilkinson worked at Britain’s National Physical Laboratory, first helping develop electronic computing with Alan Turing and then becoming a leading numerical analyst. He studied how rounding errors affect calculations in linear algebra. His backward error analysis explains a computed answer as the exact solution to a slightly changed problem, giving scientists a practical way to judge numerical reliability on real computers.
The contribution, explained
Computers represent numbers with finite precision. James Wilkinson studied the small rounding errors that accumulate in numerical calculations, especially in linear algebra. Backward error analysis asks whether a computed answer is the exact solution to a nearby problem. This separates the behaviour of an algorithm from a problem’s sensitivity to its input.
Why it matters
Reliable numerical software needs an account of accuracy as well as speed. Wilkinson gave that account a rigorous foundation.