Open CASCADE Technology 6.6.0
Public Member Functions
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.

#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.

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

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.

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.

void Dump (Standard_OStream &o) const
 Prints information on the current state of the object.
Is used to redefine the operator <<.


Constructor & Destructor Documentation

math_SVD::math_SVD ( const math_Matrix A)

Member Function Documentation

void math_SVD::Dump ( Standard_OStream o) const
Standard_Boolean math_SVD::IsDone ( ) const
void math_SVD::PseudoInverse ( math_Matrix Inv,
const Standard_Real  Eps = 1.0e-6 
) const
void math_SVD::Solve ( const math_Vector B,
math_Vector X,
const Standard_Real  Eps = 1.0e-6 
) const

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