#include <MiniTensor_TestFunctions.h>

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

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

Public Member Functions
	Gaussian (S const a, S const b, S const c)

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 {"Inverted Gaussian"}

Static Public Attributes inherited from minitensor::Function_Base< FunctionDerived, S, M >
static constexpr Index	DIMENSION {M}

Private Attributes
S const	a_ {0.0}

S const	b_ {0.0}

S const	c_ {0.0}

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::Gaussian< S, M >

Inverted Gaussian NLS: the residual is the gradient of \( -e^{-c^2((x_1-a)^2+(x_2-b)^2)} \) scaled by \( c \). Two-dimensional; minimum at \( (a, b) \), nearly flat away from it, stressing globalization.

Definition at line 216 of file MiniTensor_TestFunctions.h.