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Michael J. D. Powell

Michael J. D. Powell is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Michael J. D. Powell rather than just read about it. In short: Michael James David Powell (29 July 1936 – 19 April 2015) was a British mathematician, who worked in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. Education and early life Born in London, Powell was educated at Frensham Heights School and Eastbourne College.

Michael J. D. Powell — main illustration
Michael J. D. Powell — illustration

Key takeaways

  • Michael J. D. Powell belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Michael J. D. Powell to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Michael J. D. Powell from memory before moving on to harder problems.

Reference excerpt

Michael James David Powell (29 July 1936 – 19 April 2015) was a British mathematician, who worked in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge.

Education and early life Born in London, Powell was educated at Frensham Heights School and Eastbourne College. He earned his Bachelor of Arts degree followed by a Doctor of Science (DSc) degree in 1979 at the University of Cambridge.

Career and research Powell was known for his extensive work in numerical analysis, especially nonlinear optimisation and approximation. He was a founding member of the Institute of Mathematics and its Applications and a founding editor-in-chief of IMA Journal of Numerical Analysis. His mathematical contributions include quasi-Newton methods, particularly the Davidon–Fletcher–Powell formula and the Powell's Symmetric Broyden formula, augmented Lagrangian function (also called Powell–Rockafellar penalty function), sequential quadratic programming method (also called as Wilson–Han–Powell method), trust region algorithms (Powell's dog leg method), conjugate direction method (also called Powell's method), and radial basis function. He had been working on derivative-free optimization algorithms in recent years, the resultant algorithms including COBYLA, UOBYQA, NEWUOA, BOBYQA, and LINCOA. He was the author of numerous scientific papers and of several books, most notably Approximation Theory and Methods.

Awards and honours Powell won several awards, including the George B. Dantzig Prize from the Mathematical Programming Society/Society for Industrial and Applied Mathematics (SIAM) and the Naylor Prize from the London Mathematical Society. Powell was elected a Foreign Associate of the National Academy of Sciences of the United States in 2001 and as a corresponding fellow to the Australian Academy of Science in 2007.

References

Worked examples

Example 1 — a first encounter with Michael J. D. Powell

Start with the simplest possible case. Write down what Michael J. D. Powell claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Michael J. D. Powell before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Michael J. D. Powell ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Michael J. D. Powell

In research
Michael J. D. Powell appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Michael J. D. Powell in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Michael J. D. Powell is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1936 births, 2015 deaths, Academic journal editors, so understanding it makes those chapters shorter.
In everyday life
Look for Michael J. D. Powell outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Michael J. D. Powell in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Michael J. D. Powell means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Michael J. D. Powell out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Michael J. D. Powell in simple terms?

Michael James David Powell (29 July 1936 – 19 April 2015) was a British mathematician, who worked in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. Education and early life Born in London, Powell was educated at Frensham Heights School and East…

Why does Michael J. D. Powell matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Michael J. D. Powell?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Michael J. D. Powell.

Tags

  • 1936 births
  • 2015 deaths
  • Academic journal editors
  • Alumni of Peterhouse, Cambridge
  • Cambridge mathematicians
  • Fellows of Pembroke College, Cambridge
  • Fellows of the Australian Academy of Science
  • Fellows of the Institute of Mathematics and its Applications
  • International members of the National Academy of Sciences
  • John Humphrey Plummer Professors
  • Mathematicians from London
  • People educated at Eastbourne College

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