Open CASCADE Technology 6.6.0
Public Member Functions | Protected Attributes
math_Gauss Class Reference

This class implements the Gauss LU decomposition (Crout algorithm)
with partial pivoting (rows interchange) of a square matrix and
the different possible derived calculation :
More...

#include <math_Gauss.hxx>

Public Member Functions

 math_Gauss (const math_Matrix &A, const Standard_Real MinPivot=1.0e-20)
 Given an input n X n matrix A this constructor performs its LU
decomposition with partial pivoting (interchange of rows).
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 A is
considered as singular.
Exception NotSquare is raised if A is not a square matrix.

Standard_Boolean IsDone () const
 Returns true if the computations are successful, otherwise returns false

void Solve (const math_Vector &B, math_Vector &X) const
 Given the input Vector B this routine returns the solution X of 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 number of rows of A.

void Solve (math_Vector &B) const
 Given the input Vector B this routine solves the set of linear
equations A . X = B. B is replaced by the vector solution X.
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 number of rows of A.

Standard_Real Determinant () const
 This routine returns the value of the determinant of the previously LU
decomposed matrix A.
Exception NotDone may be raised if the decomposition of A was not done
successfully, zero is returned if the matrix A was considered as singular.

void Invert (math_Matrix &Inv) const
 This routine outputs Inv the inverse of the previously LU decomposed
matrix A.
Exception DimensionError is raised if the ranges of B are not
equal to the ranges 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_IntegerVector Index
Standard_Real D

Detailed Description


Constructor & Destructor Documentation

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

Member Function Documentation

Standard_Real math_Gauss::Determinant ( ) const
void math_Gauss::Dump ( Standard_OStream o) const
void math_Gauss::Invert ( math_Matrix Inv) const
Standard_Boolean math_Gauss::IsDone ( ) const
void math_Gauss::Solve ( math_Vector B) const
void math_Gauss::Solve ( const math_Vector B,
math_Vector X 
) const

Field Documentation


The documentation for this class was generated from the following file:
 All Data Structures Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Defines