minitensor::Beale< S, M > Class Template Reference

#include <MiniTensor_TestFunctions.h>

Inheritance diagram for minitensor::Beale< S, M >:

Public Types
using	Base = Function_Base< Beale< S, M >, S, M >

Public Member Functions
	Beale ()
template<typename T , Index N>
T	value (Vector< T, N > const &X)
template<typename T , Index N>
Vector< T, N >	gradient (Vector< T, N > const &x)
template<typename T , Index N>
Tensor< T, N >	hessian (Vector< T, N > const &x)
Public Member Functions inherited from minitensor::Function_Base< FunctionDerived, S, M >
	Function_Base ()
template<typename T , Index N>
T	value (FunctionDerived &f, Vector< T, N > const &x)
template<typename T , Index N>
Vector< T, N >	gradient (FunctionDerived &f, Vector< T, N > const &x)
template<typename T , Index N>
Vector< T, N >	residual (FunctionDerived &f, Vector< T, N > const &x)
template<typename T , Index N>
Tensor< T, N >	hessian (FunctionDerived &f, Vector< T, N > const &x)
void	set_failed (char const *const msg=nullptr)
bool	get_failed ()
void	clear_failed ()
void	set_failure_message (char const *const msg=nullptr)
char const *	get_failure_message ()

Static Public Attributes
static constexpr char const *const	NAME {"Beale"}
Static Public Attributes inherited from minitensor::Function_Base< FunctionDerived, S, M >
static constexpr Index	DIMENSION {M}

Additional Inherited Members
Protected Attributes inherited from minitensor::Function_Base< FunctionDerived, S, M >
bool	failed {false}
char const *	failure_message {nullptr}
	Keep a message to inform what went wrong above.

Detailed Description

template<typename S, Index M = 2>
class minitensor::Beale< S, M >

Beale's function \( (1.5-x+xy)^2 + (2.25-x+xy^2)^2 + (2.625-x+xy^3)^2 \). Two-dimensional with sharp curved valleys; minimum at \( (3, 0.5) \).

Definition at line 820 of file MiniTensor_TestFunctions.h.

Member Typedef Documentation

Base

template<typename S , Index M = 2>

using minitensor::Beale< S, M >::Base = Function_Base<Beale<S, M>, S, M>

Base class type.

Definition at line 839 of file MiniTensor_TestFunctions.h.

Constructor & Destructor Documentation

Beale()

template<typename S , Index M = 2>

minitensor::Beale< S, M >::Beale ( )

inline

Constructor.

Definition at line 827 of file MiniTensor_TestFunctions.h.

Member Function Documentation

value()

template<typename S , Index M = 2>

template<typename T , Index N>

T minitensor::Beale< S, M >::value ( Vector< T, N > const &  X )

inline

Objective value.

Definition at line 847 of file MiniTensor_TestFunctions.h.

gradient()

template<typename S , Index M = 2>

template<typename T , Index N>

Vector< T, N > minitensor::Beale< S, M >::gradient ( Vector< T, N > const &  x )

inline

Gradient of the objective.

Definition at line 878 of file MiniTensor_TestFunctions.h.

hessian()

template<typename S , Index M = 2>

template<typename T , Index N>

Tensor< T, N > minitensor::Beale< S, M >::hessian ( Vector< T, N > const &  x )

inline

Hessian of the objective.

Definition at line 889 of file MiniTensor_TestFunctions.h.

Member Data Documentation

NAME

template<typename S , Index M = 2>

constexpr char const* const minitensor::Beale< S, M >::NAME {"Beale"}

staticconstexpr

Function name.

Definition at line 834 of file MiniTensor_TestFunctions.h.

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

• MiniTensor_TestFunctions.h