#include <SupportValues.h>

Inheritance diagram for MonomBase:

Public Member Functions
	MonomBase (const Matrix< double > &X, const Matrix< double > &Y)

virtual Matrix< double >	Evaluate (const Matrix< double > &X) const

virtual std::string	Function () const

Public Member Functions inherited from PolynomialBase
	PolynomialBase (const Matrix< double > &X, const Matrix< double > &Y)

virtual Matrix< double >	Evaluate (const Matrix< double > &) const =0

virtual std::string	Function () const =0

Public Attributes
Matrix< double >	A
	Coefficient matrix. More...

Detailed Description

Monom-Base:

$$y_i = p(x_i) = a_0 + a_1x_i + ... + a_nx_i^n, \forall i = 0, \dots, n$$ https://wiki.godesteem.de/wiki/interpolation-and-approximation/#Monom-Base

Examples: numerics/analysis/TestSupportValues.cpp.

Constructor & Destructor Documentation

◆ MonomBase()

MonomBase::MonomBase	(	const Matrix< double > &	X,
		const Matrix< double > &	Y
	)

inline

Default constructor

Parameters

X	$$x_i$$ support values
Y	$$y_i$$ support values evaluated with function

quick test if everything is right, if det(out) = 1 we made some mistake computing the vandermonde-matrix per definition it's determinant is always \neq 0!

Member Function Documentation

◆ Evaluate()

virtual Matrix< double > MonomBase::Evaluate ( const Matrix< double > & X ) const

inlinevirtual

iterative evaluation, nothing special

Parameters

X	evaluation values

Returns: approximation

Implements PolynomialBase.

◆ Function()

virtual std::string MonomBase::Function ( ) const

inlinevirtual

String representation getter

Returns: string representation in monom base

Implements PolynomialBase.

Member Data Documentation

◆ A

Matrix<double> MonomBase::A

Coefficient matrix.

Examples: numerics/analysis/TestSupportValues.cpp.

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

include/math/numerics/analysis/SupportValues.h

Public Member Functions

Public Attributes