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Michael J. D. Powell, the Glossary

Michael James David Powell (29 July 193619 April 2015) was a British mathematician, who worked in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge.^[1]

30 relations: Approximation, Augmented Lagrangian method, Australian Academy of Science, Biographical Memoirs of Fellows of the Royal Society, Dantzig Prize, Davidon–Fletcher–Powell formula, Derivative-free optimization, Doctor of Science, Eastbourne College, Faculty of Mathematics, University of Cambridge, Frensham Heights School, Institute of Mathematics and its Applications, London Mathematical Society, Luis Nunes Vicente, Mathematical optimization, Member of the National Academy of Sciences, Naylor Prize and Lectureship, Nonlinear programming, Numerical analysis, Philip J. Davis, Powell's dog leg method, Powell's method, Quasi-Newton method, R. Tyrrell Rockafellar, Radial basis function, Royal Society, Sequential quadratic programming, Society for Industrial and Applied Mathematics, Trust region, University of Cambridge.
Fellows of the Institute of Mathematics and its Applications
John Humphrey Plummer Professors
Mathematicians from London
People educated at Frensham Heights School

Approximation

An approximation is anything that is intentionally similar but not exactly equal to something else.

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Augmented Lagrangian method

Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization problems.

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Australian Academy of Science

The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London.

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Biographical Memoirs of Fellows of the Royal Society

The Biographical Memoirs of Fellows of the Royal Society is an academic journal on the history of science published annually by the Royal Society.

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Dantzig Prize

The Dantzig Prize is given every three years to one or more individuals for research which, by virtue of its originality, breadth, and depth, has a major impact on the field of mathematical programming.

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Davidon–Fletcher–Powell formula

The Davidon–Fletcher–Powell formula (or DFP; named after William C. Davidon, Roger Fletcher, and Michael J. D. Powell) finds the solution to the secant equation that is closest to the current estimate and satisfies the curvature condition.

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Derivative-free optimization

Derivative-free optimization (sometimes referred to as blackbox optimization) is a discipline in mathematical optimization that does not use derivative information in the classical sense to find optimal solutions: Sometimes information about the derivative of the objective function f is unavailable, unreliable or impractical to obtain.

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Doctor of Science

A Doctor of Science (Scientiae Doctor; most commonly abbreviated DSc or ScD) is a science doctorate awarded in a number of countries throughout the world.

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Eastbourne College

Eastbourne College is a co-educational fee-charging school in the English public school tradition, for boarding and day pupils aged 13–18, in the town of Eastbourne on the south coast of England. Michael J. D. Powell and Eastbourne College are People educated at Eastbourne College.

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Faculty of Mathematics, University of Cambridge

The Faculty of Mathematics at the University of Cambridge comprises the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP).

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Frensham Heights School

Frensham Heights School is a private school with sixth form college located near Farnham, Surrey, England, run by the registered charity, Frensham Heights Educational Trust Ltd. Michael J. D. Powell and Frensham Heights School are People educated at Frensham Heights School.

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Institute of Mathematics and its Applications

The Institute of Mathematics and its Applications (IMA) is the UK's chartered professional body for mathematicians and one of the UK's learned societies for mathematics (another being the London Mathematical Society).

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London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS).

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Luis Nunes Vicente

Luis Nunes Vicente (born 1967) is an applied mathematician and optimizer who is known for his research work in Continuous Optimization and particularly in Derivative-Free Optimization.

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Mathematical optimization

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives.

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Member of the National Academy of Sciences

Membership of the National Academy of Sciences is an award granted to scientists that the National Academy of Sciences (NAS) of the United States judges to have made “distinguished and continuing achievements in original research”.

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Naylor Prize and Lectureship

The Naylor Prize and lectureship in Applied Mathematics is a prize of the London Mathematical Society awarded every two years in memory of Dr V.D. Naylor.

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Nonlinear programming

In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints are not linear equalities or the objective function is not a linear function.

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Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

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Philip J. Davis

Philip J. Davis (January 2, 1923 – March 14, 2018) was an American academic applied mathematician.

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Powell's dog leg method

Powell's dog leg method, also called Powell's hybrid method, is an iterative optimisation algorithm for the solution of non-linear least squares problems, introduced in 1970 by Michael J. D. Powell.

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Powell's method

Powell's method, strictly Powell's conjugate direction method, is an algorithm proposed by Michael J. D. Powell for finding a local minimum of a function.

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Quasi-Newton method

Quasi-Newton methods are methods used to find either zeroes or local maxima and minima of functions, as an alternative to Newton's method.

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R. Tyrrell Rockafellar

Ralph Tyrrell Rockafellar (born February 10, 1935) is an American mathematician and one of the leading scholars in optimization theory and related fields of analysis and combinatorics.

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Radial basis function

In mathematics a radial basis function (RBF) is a real-valued function \varphi whose value depends only on the distance between the input and some fixed point, either the origin, so that \varphi(\mathbf).

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Royal Society

The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences.

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Sequential quadratic programming

Sequential quadratic programming (SQP) is an iterative method for constrained nonlinear optimization which may be considered a quasi-Newton method.

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Society for Industrial and Applied Mathematics

Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community.

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Trust region

In mathematical optimization, a trust region is the subset of the region of the objective function that is approximated using a model function (often a quadratic).

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University of Cambridge

The University of Cambridge is a public collegiate research university in Cambridge, England.

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References

[1] https://en.wikipedia.org/wiki/Michael_J._D._Powell

Also known as BOBYQA, COBYLA, LINCOA, M. J. D. Powell, Michael J.D. Powell, Michael James David Powell, Michael Powell (mathematician), NEWUOA, TOLMIN (optimization software), UOBYQA.