NumA Namespace Reference

Classes
class	FunctionTypeMD
	Class for defining multi-dimensional functions that can be used as arguments in virtual methods. More...
class	FunctorMD
	Template class for defining multi-dimensional functions that can be used as arguments in virtual methods. More...
class	FunctionType1D
	Class for defining one-dimensional functions that can be used as arguments in virtual methods. More...
class	Functor1D
	Template class for defining one-dimensional functions that can be used as arguments in virtual methods. More...
class	IntegratorRegistry
class	ChebyshevAIntegrator1D
	Chebyshev quadrature for computing the integral \( \int_{-1}^1 \mathrm{dx} f(x) \sqrt{1-x^2} \). More...
class	ChebyshevBIntegrator1D
	Chebyshev quadrature for computing the integral \( \int_{-1}^1 \mathrm{dx} \frac{f(x)}{\sqrt{1-x^2}} \). More...
class	DExpIntegrator1D
	This is an implementation of the double exponential rule. More...
class	GaussKronrodAdaptive
class	Workspace
class	GaussLegendreIntegrator1D
	Gauss-Legendre quadrature. More...
class	GaussLegendreSeStIntegrator1D
	Gauss-Legendre quadrature. More...
class	Integrator1D
	Abstract class for all integration routines. More...
class	IntegratorType1D
	Type of one-dimensional integrations (wrapper for enum). More...
class	QuadratureIntegrator1D
	Abstract quadrature class (for fixed quadrature rules). More...
class	TrapezoidalIntegrator1D
	Trapezoidal integration. More...
class	TrapezoidalLogIntegrator1D
	Trapezoidal integration with logarithmic step. More...
class	Chebyshev
	Chebyshev expansion class. More...
class	CubicSpline
class	EigenUtils
	Tools for the Eigen wrapper. More...
class	LSMRSolver
	LSMR solves Ax = b or min ||Ax - b|| with or without damping, using the iterative algorithm of David Fong and Michael Saunders: http://www.stanford.edu/group/SOL/software/lsmr.html. More...
class	LinAlgUtils
	Linear algebra routines such as linear solvers. More...
class	MatrixD
	Represents a two-dimensional array of double. More...
class	MatrixComplex2D
	Matrix of complex numbers of size 2x2. More...
class	MatrixComplex3D
	Matrix of complex numbers of size 3x3. More...
class	MatrixComplex4D
	Matrix of complex numbers of size 4x4. More...
class	MatrixComplexD
	Matrix of complex numbers of undefined size. More...
class	Vector2D
	Object representing a two-dimensional vector. More...
class	Vector3D
	Object representing a three-dimensional vector. More...
class	Vector4D
	Object representing a four-vector. More...
class	VectorD
	Object representing a mathematical vector. More...
class	VectorComplex2D
	Vector of complex numbers of size 2. More...
class	VectorComplex3D
	Vector of complex numbers of size 3. More...
class	VectorComplex4D
	Vector of complex numbers of size 4. More...
class	VectorComplexD
	Vector of complex numbers of undefined size. More...
class	ActivationFunction
class	ActivationFunctionHyperbolic
class	ActivationFunctionLinear
class	ActivationFunctionLogistic
class	ActivationFunctionSymetricThreshold
class	ActivationFunctionThreshold
class	ActivationFunctionType
class	CombinationFunctionType
class	Data
class	InitializationType
class	NeuralNetworkCellPropertyType
class	NeuralNetworkCellType
class	ScalingFunctionType
class	ScalingModeType
class	TrainingAlgorithmType
class	TrainingFunctionType
class	CombinationFunction
class	CombinationFunctionScalarProduct
class	NeuralNetwork
class	InputCell
class	NeuralNetworkCell
class	OutputCell
class	Perceptron
class	ScalingCell
class	TransitionCell
class	NeuralNetworkLayer
class	NeuralNetworkNeuron
class	NeuralNetworkTypeRegistry
class	ScalingFunction
class	ScalingFunctionMeanStdDeviation
class	ScalingFunctionMinMax
class	TrainingAlgorithm
class	TrainingFunction
class	TrainingFunctionChi2
class	RandomGenerator
class	Brent
class	Newton
	The code supports on the example of the python library : scipy. More...
class	NewtonMD
	Newton method generalized to any dimension N: Solves the system G(X) = 0, where G is a regular but non-linear application \( R^N \rightarrow R^N \) . More...
class	Differences
	Class defining absolute and relative differences for comparison of real numbers (double). More...
class	Errors
	Class for defining estimations of absolute and relative errors. More...
class	FunctorUtils
	Utilities for Functors. More...
class	Interval
	Class defining an interval (with given bounds and step). More...
class	MathUtils
	Miscellaneous utilities (mathematical functions, etc). More...
class	Tolerances
	Define absolute and relative tolerances for comparison of real numbers (double) and check if they are positive. More...

Functions
MatrixComplex2D	operator* (const double &lhs, MatrixComplex2D &rhs)
MatrixComplex2D	operator* (const std::complex< double > &lhs, MatrixComplex2D &rhs)
MatrixComplex3D	operator* (const double &lhs, MatrixComplex3D &rhs)
MatrixComplex3D	operator* (const std::complex< double > &lhs, MatrixComplex3D &rhs)
MatrixComplex4D	operator* (const double &lhs, MatrixComplex4D &rhs)
MatrixComplex4D	operator* (const std::complex< double > &lhs, MatrixComplex4D &rhs)
MatrixComplexD	operator* (const double &lhs, MatrixComplexD &rhs)
MatrixComplexD	operator* (const std::complex< double > &lhs, MatrixComplexD &rhs)
VectorComplex2D	operator* (const double &lhs, VectorComplex2D &rhs)
VectorComplex2D	operator* (const std::complex< double > &lhs, VectorComplex2D &rhs)
VectorComplex3D	operator* (const double &lhs, VectorComplex3D &rhs)
VectorComplex3D	operator* (const std::complex< double > &lhs, VectorComplex3D &rhs)
VectorComplex4D	operator* (const double &lhs, VectorComplex4D &rhs)
VectorComplex4D	operator* (const std::complex< double > &lhs, VectorComplex4D &rhs)
VectorComplexD	operator* (const double &lhs, VectorComplexD &rhs)
VectorComplexD	operator* (const std::complex< double > &lhs, VectorComplexD &rhs)

Function Documentation

operator*() [1/16]

MatrixComplex2D NumA::operator*	(	const double &	lhs,
		MatrixComplex2D &	rhs
	)

operator*() [2/16]

MatrixComplex3D NumA::operator*	(	const double &	lhs,
		MatrixComplex3D &	rhs
	)

operator*() [3/16]

MatrixComplex4D NumA::operator*	(	const double &	lhs,
		MatrixComplex4D &	rhs
	)

operator*() [4/16]

MatrixComplexD NumA::operator*	(	const double &	lhs,
		MatrixComplexD &	rhs
	)

operator*() [5/16]

VectorComplex2D NumA::operator*	(	const double &	lhs,
		VectorComplex2D &	rhs
	)

operator*() [6/16]

VectorComplex3D NumA::operator*	(	const double &	lhs,
		VectorComplex3D &	rhs
	)

operator*() [7/16]

VectorComplex4D NumA::operator*	(	const double &	lhs,
		VectorComplex4D &	rhs
	)

operator*() [8/16]

VectorComplexD NumA::operator*	(	const double &	lhs,
		VectorComplexD &	rhs
	)

operator*() [9/16]

MatrixComplex2D NumA::operator*	(	const std::complex< double > &	lhs,
		MatrixComplex2D &	rhs
	)

operator*() [10/16]

MatrixComplex3D NumA::operator*	(	const std::complex< double > &	lhs,
		MatrixComplex3D &	rhs
	)

operator*() [11/16]

MatrixComplex4D NumA::operator*	(	const std::complex< double > &	lhs,
		MatrixComplex4D &	rhs
	)

operator*() [12/16]

MatrixComplexD NumA::operator*	(	const std::complex< double > &	lhs,
		MatrixComplexD &	rhs
	)

operator*() [13/16]

VectorComplex2D NumA::operator*	(	const std::complex< double > &	lhs,
		VectorComplex2D &	rhs
	)

operator*() [14/16]

VectorComplex3D NumA::operator*	(	const std::complex< double > &	lhs,
		VectorComplex3D &	rhs
	)

operator*() [15/16]

VectorComplex4D NumA::operator*	(	const std::complex< double > &	lhs,
		VectorComplex4D &	rhs
	)

operator*() [16/16]

VectorComplexD NumA::operator*	(	const std::complex< double > &	lhs,
		VectorComplexD &	rhs
	)