math_GaussLeastSquare Class Reference

This class implements the least square solution of a set of
n linear equations of m unknowns (n >= m) using the gauss LU
decomposition algorithm.
This algorithm is more likely subject to numerical instability
than math_SVD.

#include <math_GaussLeastSquare.hxx>

Public Member Functions
void *	operator new (size_t, void *anAddress)
void *	operator new (size_t size)
void	operator delete (void *anAddress)
	math_GaussLeastSquare (const math_Matrix &A, const Standard_Real MinPivot=1.0e-20)
	Given an input n X m matrix A with n >= m this constructor performs the LU decomposition with partial pivoting (interchange of rows) of the matrix AA = A.Transposed() * A; This LU decomposition is stored internally and may be used to do subsequent calculation. If the largest pivot found is less than MinPivot the matrix is considered as singular.
Standard_Boolean	IsDone () const
	Returns true if the computations are successful, otherwise returns false.e
void	Solve (const math_Vector &B, math_Vector &X) const
	Given the input Vector this routine solves the set of linear equations A . X = B. Exception NotDone is raised if the decomposition of A was not done successfully. Exception DimensionError is raised if the range of B Inv is not equal to the rowrange of A. Exception DimensionError is raised if the range of X Inv is not equal to the colrange of A.
void	Dump (Standard_OStream &o) const
	Prints on the stream o information on the current state of the object. Is used to redefine the operator <<.
Protected Attributes
Standard_Boolean	Singular
math_Matrix	LU
math_Matrix	A2
math_IntegerVector	Index
Standard_Real	D

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Constructor & Destructor Documentation

math_GaussLeastSquare::math_GaussLeastSquare	(	const math_Matrix &	A,
		const Standard_Real	MinPivot = 1.0e-20
	)

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Member Function Documentation

void math_GaussLeastSquare::Dump

(

Standard_OStream &

o

)

const

Standard_Boolean math_GaussLeastSquare::IsDone

(

)

const

void math_GaussLeastSquare::operator delete

(

void *

anAddress

)

[inline]

void* math_GaussLeastSquare::operator new

(

size_t

size

)

[inline]

void* math_GaussLeastSquare::operator new	(	size_t	,
		void *	anAddress
	)		[inline]

void math_GaussLeastSquare::Solve	(	const math_Vector &	B,
		math_Vector &	X
	)		const

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Field Documentation

math_Matrix math_GaussLeastSquare::A2 [protected]

Standard_Real math_GaussLeastSquare::D [protected]

math_IntegerVector math_GaussLeastSquare::Index [protected]

math_Matrix math_GaussLeastSquare::LU [protected]

Standard_Boolean math_GaussLeastSquare::Singular [protected]

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

• math_GaussLeastSquare.hxx