MathUtils::Booth Class Reference

Booth function functor (for testing optimization). f(x,y) = (x + 2y - 7)^2 + (2x + y - 5)^2 Global minimum at (1, 3) with f = 0. More...

#include <MathUtils_FunctorVector.hxx>

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

Detailed Description

Booth function functor (for testing optimization). f(x,y) = (x + 2y - 7)^2 + (2x + y - 5)^2 Global minimum at (1, 3) with f = 0.

Usage:

Booth aBooth;
math_Vector aStart(1, 2);
aStart(1) = 0.0; aStart(2) = 0.0;
auto aResult = MathOpt::BFGS(aBooth, aStart);
// Should converge to (1, 3)

Member Function Documentation

Gradient()

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

inline

Evaluates the gradient of the Booth function.

Parameters

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

Returns

true (always succeeds)

Value()

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

inline

Evaluates the Booth function.

Parameters

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

Returns

true (always succeeds)

Values()

bool MathUtils::Booth::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)

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

• MathUtils_FunctorVector.hxx