Open CASCADE Technology  6.5.4
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Public Member Functions
math_Crout Class Reference

This class implements the Crout algorithm used to solve a
system A*X = B where A is a symmetric matrix. It can be used to
invert a symmetric matrix.
This algorithm is similar to Gauss but is faster than Gauss.
Only the inferior triangle of A and the diagonal can be given.

#include <math_Crout.hxx>

Public Member Functions

DEFINE_STANDARD_ALLOC math_Crout (const math_Matrix &A, const Standard_Real MinPivot=1.0e-20)
 Given an input matrix A, this algorithm inverts A by the
Crout algorithm. The user can give only the inferior
triangle for the implementation.
A can be decomposed like this:
A = L * D * T(L) where L is triangular inferior and D is
diagonal.
If one element of A is less than MinPivot, A is
considered as singular.
Exception NotSquare is raised if A is not a square matrix.

Standard_Boolean IsDone () const
 Returns True if all has been correctly done.

void Solve (const math_Vector &B, math_Vector &X) const
 Given an input vector , this routine returns the
solution of the set of linear equations A . X = B.
Exception NotDone is raised if the decomposition was not
done successfully.
Exception DimensionError is raised if the range of B is
not equal to the rowrange of A.

const math_MatrixInverse () const
 returns the inverse matrix of A. Only the inferior
triangle is returned.
Exception NotDone is raised if NotDone.

void Invert (math_Matrix &Inv) const
 returns in Inv the inverse matrix of A. Only the inferior
triangle is returned.
Exception NotDone is raised if NotDone.

Standard_Real Determinant () const
 Returns the value of the determinant of the previously LU
decomposed matrix A. Zero is returned if the matrix A is considered as singular.
Exceptions
StdFail_NotDone if the algorithm fails (and IsDone returns false).

void Dump (Standard_OStream &o) const
 Prints on the stream o information on the current state
of the object.


Constructor & Destructor Documentation


Member Function Documentation


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