math_Jacobi Class Reference

This class implements the Jacobi method to find the eigenvalues and
the eigenvectors of a real symmetric square matrix.
A sort of eigenvalues is done.
More...

#include <math_Jacobi.hxx>

Public Member Functions
	math_Jacobi (const math_Matrix &A)
	Given a Real n X n matrix A, this constructor computes all its eigenvalues and eigenvectors using the Jacobi method. The exception NotSquare is raised if the matrix is not square. No verification that the matrix A is really symmetric is done. More...
Standard_Boolean	IsDone () const
	Returns true if the computations are successful, otherwise returns false. More...
const math_Vector &	Values () const
	Returns the eigenvalues vector. <br> Exception NotDone is raised if calculation is not done successfully. More...
Standard_Real	Value (const Standard_Integer Num) const
	returns the eigenvalue number Num. <br> Eigenvalues are in the range (1..n). Exception NotDone is raised if calculation is not done successfully. More...
const math_Matrix &	Vectors () const
	returns the eigenvectors matrix. <br> Exception NotDone is raised if calculation is not done successfully. More...
void	Vector (const Standard_Integer Num, math_Vector &V) const
	Returns the eigenvector V of number Num. <br> Eigenvectors are in the range (1..n). Exception NotDone is raised if calculation is not done successfully. 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

This class implements the Jacobi method to find the eigenvalues and
the eigenvectors of a real symmetric square matrix.
A sort of eigenvalues is done.

Constructor & Destructor Documentation

math_Jacobi::math_Jacobi

(

const math_Matrix &

A

)

Given a Real n X n matrix A, this constructor computes all its
eigenvalues and eigenvectors using the Jacobi method.
The exception NotSquare is raised if the matrix is not square.
No verification that the matrix A is really symmetric is done.

Member Function Documentation

void math_Jacobi::Dump

(

Standard_OStream &

o

)

const

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

Standard_Boolean math_Jacobi::IsDone

(

)

const

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

Standard_Real math_Jacobi::Value

(

const Standard_Integer

Num

)

const

 returns the eigenvalue number Num. <br>

Eigenvalues are in the range (1..n).
Exception NotDone is raised if calculation is not done successfully.

const math_Vector& math_Jacobi::Values

(

)

const

 Returns the eigenvalues vector. <br>

Exception NotDone is raised if calculation is not done successfully.

void math_Jacobi::Vector	(	const Standard_Integer	Num,
		math_Vector &	V
	)		const

 Returns the eigenvector V of number Num. <br>

Eigenvectors are in the range (1..n).
Exception NotDone is raised if calculation is not done successfully.

const math_Matrix& math_Jacobi::Vectors

(

)

const

 returns the eigenvectors matrix. <br>

Exception NotDone is raised if calculation is not done successfully.

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

• math_Jacobi.hxx