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.
More...

#include <math_GaussLeastSquare.hxx>

Public Member Functions
	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. More...
Standard_Boolean	IsDone () const
	Returns true if the computations are successful, otherwise returns false.e More...
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. More...
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 <<. More...

Protected Attributes
Standard_Boolean	Singular
math_Matrix	LU
math_Matrix	A2
math_IntegerVector	Index
Standard_Real	D

Detailed Description

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.

Constructor & Destructor Documentation

math_GaussLeastSquare::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.

Member Function Documentation

void math_GaussLeastSquare::Dump

(

Standard_OStream &

o

)

const

Prints on the stream o information on the current state
of the object.
Is used to redefine the operator <<.

Standard_Boolean math_GaussLeastSquare::IsDone

(

)

const

Returns true if the computations are successful, otherwise returns false.e

void math_GaussLeastSquare::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.

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