Himmelblau's function

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

However, because they are roots of quartic polynomials, when written in terms of radicals, the expressions are somewhat complicated.

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

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