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math


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)
Standard_EXPORT 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
.
Standard_EXPORT 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.
.

Standard_EXPORT 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

Private Attributes

Standard_Boolean Done


Constructor & Destructor Documentation

Standard_EXPORT math_GaussLeastSquare::math_GaussLeastSquare const math_Matrix A,
const Standard_Real  MinPivot = 1.0e-20
 


Member Function Documentation

Standard_EXPORT void math_GaussLeastSquare::Dump Standard_OStream o  )  const
 

Standard_Boolean math_GaussLeastSquare::IsDone  )  const [inline]
 

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]
 

Standard_EXPORT void math_GaussLeastSquare::Solve const math_Vector B,
math_Vector X
const
 


Field Documentation

math_Matrix math_GaussLeastSquare::A2 [protected]
 

Standard_Real math_GaussLeastSquare::D [protected]
 

Standard_Boolean math_GaussLeastSquare::Done [private]
 

math_IntegerVector math_GaussLeastSquare::Index [protected]
 

math_Matrix math_GaussLeastSquare::LU [protected]
 

Standard_Boolean math_GaussLeastSquare::Singular [protected]
 


The documentation for this class was generated from the following files:
Generated on Mon Aug 25 13:12:45 2008 for OpenCASCADE by  doxygen 1.4.1