#include <MiniTensor_TestFunctions.h>

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

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

Public Member Functions
	StyblinskiTang ()

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) const

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 {"Styblinski-Tang"}

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::StyblinskiTang< S, M >

Styblinski-Tang function NLS: the residual is the gradient of \( \frac{1}{2}\sum_{i=1}^{2} (x_i^4 - 16 x_i^2 + 5 x_i) \). Two-dimensional with multiple local minima; global minimum at \( x_i \approx -2.9035 \).

Definition at line 559 of file MiniTensor_TestFunctions.h.