math_SVD Class Reference

SVD implements the solution of a set of N linear equations of M unknowns without condition on N or M. The Singular Value Decomposition algorithm is used. For singular or nearly singular matrices SVD is a better choice than Gauss or GaussLeastSquare. More...

#include <math_SVD.hxx>

Public Member Functions
	math_SVD (const math_Matrix &A)
	Given as input an n X m matrix A with n < m, n = m or n > m this constructor performs the Singular Value Decomposition. More...
Standard_Boolean	IsDone () const
	Returns true if the computations are successful, otherwise returns false. More...
void	Solve (const math_Vector &B, math_Vector &X, const Standard_Real Eps=1.0e-6) const
	Given the input Vector B 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 is not equal to the rowrange of A. Exception DimensionError is raised if the range of X is not equal to the colrange of A. More...
void	PseudoInverse (math_Matrix &Inv, const Standard_Real Eps=1.0e-6) const
	Computes the inverse Inv of matrix A such as A * Inverse = Identity. Exceptions StdFail_NotDone if the algorithm fails (and IsDone returns false). Standard_DimensionError if the ranges of Inv are compatible with the ranges of A. More...
void	Dump (Standard_OStream &o) const
	Prints information on the current state of the object. Is used to redefine the operator <<. More...

Detailed Description

SVD implements the solution of a set of N linear equations of M unknowns without condition on N or M. The Singular Value Decomposition algorithm is used. For singular or nearly singular matrices SVD is a better choice than Gauss or GaussLeastSquare.

Constructor & Destructor Documentation

math_SVD()

math_SVD::math_SVD

(

const math_Matrix &

A

)

Given as input an n X m matrix A with n < m, n = m or n > m this constructor performs the Singular Value Decomposition.

Member Function Documentation

Dump()

void math_SVD::Dump

(

Standard_OStream &

o

)

const

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

IsDone()

Standard_Boolean math_SVD::IsDone

(

)

const

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

PseudoInverse()

void math_SVD::PseudoInverse	(	math_Matrix &	Inv,
		const Standard_Real	Eps = 1.0e-6
	)		const

Computes the inverse Inv of matrix A such as A * Inverse = Identity. Exceptions StdFail_NotDone if the algorithm fails (and IsDone returns false). Standard_DimensionError if the ranges of Inv are compatible with the ranges of A.

Solve()

void math_SVD::Solve	(	const math_Vector &	B,
		math_Vector &	X,
		const Standard_Real	Eps = 1.0e-6
	)		const

Given the input Vector B 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 is not equal to the rowrange of A. Exception DimensionError is raised if the range of X is not equal to the colrange of A.

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

• math_SVD.hxx