template class FLUMatrix<class,int>

(Return to index)

A templated representation of a LU-decomposition.

Constructed from a FMatrix<T,N,N>, this class remembers the triangular decomposition and can return the back-substitution or the inverse. When FLUMatrix is used on a complex matrix, then the statement

include std::abs;

Type:	Instantiable
Include file:	./FixedAlgebra/FLUMatrix.hh

Synopsis (including inherited members):

• Public members:
  • FLUMatrix (const FMatrix<T,N,N>&) ;
  • FLUMatrix () ;
  • FLUMatrix (const FLUMatrix<T,N>&) ;
  • ~FLUMatrix () ;
  • FLUMatrix<T,N>& operator= (const FLUMatrix&) ;
  • void backSubstitute (FVector<T,N>&)const ;
  • template <int> void backSubstitute (FMatrix<T,N,M>&)const ;
  • FMatrix<T,N,N> inverse ()const ;
  • template <class> void backSubstitute (Iterator)const ;

Documentation:

• Public members:

  FLUMatrix (const FMatrix<T,N,N>&) ;

  Constructor.
  Find triangel decomposition of the matrix M. Throw SingularMatrixError if M is singular.

  void backSubstitute (FVector<T,N>&)const ;

  Back substitution.
  Perform back substitution on the vector B. The new B is the old B, premultiplied by the inverse.

  template <int> void backSubstitute (FMatrix<T,N,M>&)const ;

  Back substitution.
  Perform back substitution on the matrix M. The new M is the old M, premultiplied by the inverse.

  FMatrix<T,N,N> inverse ()const ;

  Get inverse.
  Construct and return the inverse.