The princess and infinite-dimensional optimization (Q1946034)
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scientific article; zbMATH DE number 6155103
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The princess and infinite-dimensional optimization |
scientific article; zbMATH DE number 6155103 |
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The princess and infinite-dimensional optimization (English)
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17 April 2013
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Looking for the (pre)history of infinite-dimensional optimization, the author finds the usual suspects: Queen Dido and the isoperimetric problem (posed as a mathematical problem by Jacob Bernoulli), Zenodorus's ``On isometric figures'', Johann Bernoulli's brachistochrone problem, Newton's problem: ``What is the shape of a body of minimum resistance?'' (1687). Some remarks regarding current and future research in infinite-dimensional optimization, including drag minimization in aeronautics, round off this paper.
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ancient Greek mathematics
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infinite-dimensional optimization
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calculus of variations
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optimal control
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shape optimization
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