“Himmelblau's function”的意思、由来-开放百科全书

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Himmelblau's function

释义

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References

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In mathematical optimization, Himmelblau's function is a multi-modal function, used to test the performance of optimization algorithms.

The function is defined by:

It has one local maximum at and where , and four identical local minima:

The locations of all the minima can be found analytically. However, because they are roots of cubic polynomials, when written in terms of radicals, the expressions are somewhat complicated.{{citation needed|date=November 2011}}

The function is named after David Mautner Himmelblau (1924–2011), who introduced it.^[1]

References

1. ^{{cite book |last=Himmelblau |first=D. |title=Applied Nonlinear Programming |location= |publisher=McGraw-Hill |year=1972 |isbn=0-07-028921-2 }}

1 : Mathematical optimization

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See also

References