Compute a weighted least-squares polynomial approximations to an arbitrary set of data points. More...

#include <ChebyshevPolyFit.h>

Public Member Functions
	ChebyshevPolyFit (const size_t n)
	Constructor. More...

std::vector< double >	operator() (const std::vector< double > &xs, const std::vector< double > &ys, const std::vector< double > &wgts)
	Find coefficients of polynomial that minimizes the sum of the squares of the residuals: e_r = w_r(y_r - f_r) Solves the overdetermined equation w * V(x) * c = w * y. More...

	~ChebyshevPolyFit ()
	Destructor. More...

Private Attributes
std::unique_ptr< ChebyshevPolyFitImpl >	m_impl

Detailed Description

Compute a weighted least-squares polynomial approximations to an arbitrary set of data points.

Each polynomial is represented in Chebyshev-series form. Equivalent to the NAG routine E02ADF - http://www.nag.co.uk/numeric/fl/manual/pdf/E02/e02adf.pdf

Definition at line 28 of file ChebyshevPolyFit.h.

Constructor & Destructor Documentation

◆ ChebyshevPolyFit()

Mantid::Kernel::ChebyshevPolyFit::ChebyshevPolyFit ( const size_t n )

Constructor.

Parameters

n	The maximum degree of polynomial required (+1 for the zeroth-order term)

Definition at line 84 of file ChebyshevPolyFit.cpp.

◆ ~ChebyshevPolyFit()

Mantid::Kernel::ChebyshevPolyFit::~ChebyshevPolyFit ( )

default

Destructor.

Member Function Documentation

◆ operator()()

std::vector< double > Mantid::Kernel::ChebyshevPolyFit::operator()	(	const std::vector< double > &	xs,
		const std::vector< double > &	ys,
		const std::vector< double > &	wgts
	)

Find coefficients of polynomial that minimizes the sum of the squares of the residuals: e_r = w_r(y_r - f_r) Solves the overdetermined equation w * V(x) * c = w * y.

Parameters

xs	X values
ys	Y data points
wgts	Weights for each Y point

Returns

Definition at line 101 of file ChebyshevPolyFit.cpp.

References m_impl.

Member Data Documentation

◆ m_impl

std::unique_ptr<ChebyshevPolyFitImpl> Mantid::Kernel::ChebyshevPolyFit::m_impl

private

Definition at line 39 of file ChebyshevPolyFit.h.

Referenced by operator()().

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

Framework/Kernel/inc/MantidKernel/Math/ChebyshevPolyFit.h
Framework/Kernel/src/Math/ChebyshevPolyFit.cpp

Public Member Functions

Private Attributes