# James H. Wilkinson

> English mathematician (1919–1986)

**Wikidata**: [Q62877](https://www.wikidata.org/wiki/Q62877)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/James_H._Wilkinson)  
**Source**: https://4ort.xyz/entity/james-h-wilkinson

## Summary  
James H. Wilkinson (27 September 1919 – 5 October 1986) was a British mathematician and computer scientist renowned for pioneering backward error analysis and advancing numerical linear algebra. His work at the National Physical Laboratory and his award of the 1970 Turing Award cemented his influence on modern scientific computing.

## Biography  
- **Born:** 27 September 1919, Strood, United Kingdom  
- **Nationality:** British  
- **Education:**  
  * Sir Joseph Williamson’s Mathematical School (1930 – 1935)  
  * Trinity College, Cambridge (1935 – 1939)  
- **Known for:** Development of backward error analysis and foundational contributions to numerical linear algebra.  
- **Employer(s):**  
  * Ordnance Board (1940 – 1943)  
  * Fort Halstead (1943 – 1946)  
  * National Physical Laboratory (1946 – 1980)  
  * University of Michigan – Visiting Professor (1957 – 1973)  
  * Stanford University – Visiting Professor (1977 – 1984)  
- **Field(s):** Numerical analysis, numerical linear algebra, scientific computing  

## Contributions  
Wilkinson’s career was defined by rigorous analysis of numerical algorithms. At the National Physical Laboratory (NPL) he led research that formalised **backward error analysis**, a technique that evaluates how computed results can be interpreted as exact solutions to slightly perturbed problems. This framework became a cornerstone of numerical linear algebra, guiding the design of stable algorithms for matrix computations. His publications on error analysis and matrix theory set standards for precision in scientific computing and influenced generations of researchers. Wilkinson’s expertise was recognised internationally, culminating in the **1970 Turing Award** for his “fundamental contributions to the theory of numerical analysis and the design of reliable computational methods.” His visiting professorships at the University of Michigan and Stanford University spread his ideas across the Atlantic, fostering collaborations that integrated rigorous mathematical theory with emerging computer technologies.

## FAQs  
### Q: What is James H. Wilkinson best known for?  
A: He is best known for creating backward error analysis and for his seminal work in numerical linear algebra, which established reliable methods for solving matrix problems on computers.  

### Q: Which major award did Wilkinson receive?  
A: Wilkinson received the **1970 Turing Award**, the highest honor in computer science, for his fundamental contributions to numerical analysis.  

### Q: Where did Wilkinson spend most of his professional career?  
A: He spent the bulk of his career (1946‑1980) at the **National Physical Laboratory** in the United Kingdom, where he directed research on numerical computation.  

## Why They Matter  
Wilkinson transformed how scientists assess the reliability of computer‑generated results. By introducing backward error analysis, he provided a practical way to guarantee that numerical solutions remain meaningful despite inevitable rounding errors. This insight underpins virtually all modern scientific software, from engineering simulations to climate models. His work directly shaped the curricula of numerical analysis courses and inspired leading figures in computational mathematics. Without Wilkinson’s frameworks, many high‑precision applications would lack the rigorous error bounds that ensure trustworthy outcomes, limiting the scope of computational science.  

## Notable For  
- **1970 Turing Award** for pioneering error analysis in numerical computation.  
- Development of **backward error analysis**, a foundational tool in numerical linear algebra.  
- Long‑term leadership at the **National Physical Laboratory** (1946‑1980).  
- Fellow of the **Royal Society** (elected 1969) and member of several international academies.  
- Recipient of the **John von Neumann Prize** (1970) and the **Chauvenet Prize** (posthumously 1987).  

## Body  

### Early Life and Education  
- Born in Strood, England, to a family that valued education.  
- Attended **Sir Joseph Williamson’s Mathematical School** (1930‑1935), laying a strong foundation in mathematics.  
- Studied at **Trinity College, Cambridge** (1935‑1939), earning a degree that prepared him for research in applied mathematics.  

### Career at the National Physical Laboratory  
- Joined the **National Physical Laboratory (NPL)** in 1946 after wartime work with the Ordnance Board and Fort Halstead.  
- Served at NPL until 1980, directing projects on numerical methods for scientific instrumentation.  
- Produced influential reports and papers that formalised error analysis for digital computers.  

### Academic Appointments  
- **University of Michigan** – Visiting professor (1957‑1973), where he taught numerical analysis and collaborated with American researchers.  
- **Stanford University** – Visiting professor (1977‑1984), extending his influence to the West Coast and mentoring future leaders in scientific computing.  

### Research Contributions  
- **Backward Error Analysis** – Introduced a systematic way to interpret computed solutions as exact solutions to perturbed problems, dramatically improving algorithmic reliability.  
- **Numerical Linear Algebra** – Authored key texts and articles that defined stability criteria for matrix algorithms, influencing software libraries such as LINPACK and LAPACK.  
- **Numerical Analysis** – Developed error bounds and convergence proofs that are now standard in textbooks and research.  

### Awards and Honors  
- **Fellow of the Royal Society** (1969).  
- **Turing Award** (1970) – Recognised for “fundamental contributions to the theory of numerical analysis and the design of reliable computational methods.”  
- **John von Neumann Prize** (1970) – Awarded by SIAM for outstanding contributions to applied mathematics.  
- **Chauvenet Prize** (1987, posthumous) – For an expository article on numerical error analysis.  
- **Honorary Doctorate**, Heriot‑Watt University (1973).  

### Legacy  
Wilkinson’s analytical techniques remain integral to modern high‑performance computing. His concepts are embedded in numerical libraries used across scientific disciplines, and his publications continue to be cited in contemporary research on algorithmic stability. The standards he set for error analysis ensure that today’s simulations, from aerospace engineering to medical imaging, produce trustworthy results.

## References

1. [Source](http://amturing.acm.org/award_winners/wilkinson_0671216.cfm)
2. Integrated Authority File
3. MacTutor History of Mathematics archive
4. [Source](https://doi.org/10.1098/rsbm.1987.0024)
5. [Source](https://www.siam.org/prizes/sponsored/vonneumann.php)
6. International Standard Name Identifier
7. Virtual International Authority File
8. CiNii Research
9. [Source](http://www.computerhistory.org/collections/catalog/102746813)
10. SNAC
11. Nationalencyklopedin
12. BnF authorities
13. Freebase Data Dumps. 2013
14. IdRef
15. National Library of Israel Names and Subjects Authority File