MathUtils::Himmelblau Class Reference

Himmelblau function functor (for testing optimization). f(x,y) = (x^2 + y - 11)^2 + (x + y^2 - 7)^2 Has four local minima, all with f = 0: (3.0, 2.0), (-2.805118, 3.131312), (-3.779310, -3.283186), (3.584428, -1.848126) More...

#include <MathUtils_FunctorVector.hxx>

Public Member Functions
bool	Value (const math_Vector &theX, double &theY) const
	Evaluates the Himmelblau function.
bool	Gradient (const math_Vector &theX, math_Vector &theG) const
	Evaluates the gradient of the Himmelblau function.
bool	Values (const math_Vector &theX, double &theY, math_Vector &theG) const
	Evaluates both value and gradient.

Detailed Description

Himmelblau function functor (for testing optimization). f(x,y) = (x^2 + y - 11)^2 + (x + y^2 - 7)^2 Has four local minima, all with f = 0: (3.0, 2.0), (-2.805118, 3.131312), (-3.779310, -3.283186), (3.584428, -1.848126)

Member Function Documentation

Gradient()

bool MathUtils::Himmelblau::Gradient ( const math_Vector & theX, math_Vector & theG ) const

inline

Evaluates the gradient of the Himmelblau function.

Parameters

[in]	theX	input vector
[out]	theG	gradient vector

Returns

true (always succeeds)

Value()

bool MathUtils::Himmelblau::Value ( const math_Vector & theX, double & theY ) const

inline

Evaluates the Himmelblau function.

Parameters

[in]	theX	input vector (must have length 2)
[out]	theY	function value

Returns

true (always succeeds)

Values()

bool MathUtils::Himmelblau::Values ( const math_Vector & theX, double & theY, math_Vector & theG ) const

inline

Evaluates both value and gradient.

Parameters

[in]	theX	input vector
[out]	theY	function value
[out]	theG	gradient vector

Returns

true (always succeeds)

---

The documentation for this class was generated from the following file:

• MathUtils_FunctorVector.hxx