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.
The function is named after David Mautner Himmelblau (1924-2011), who introduced it. 
- Himmelblau, D., Applied Nonlinear Programming. McGraw-Hill (1972) ISBN 0-07-028921-2
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