template class LUMatrix<class>

(Return to index)

Triangle decomposition of a matrix.

A templated representation of a LU-decomposition. Constructed from a Matrix<T>, this class remembers the triangular decomposition and can return the back-substitution or the inverse. When LUMatrix is used on a complex matrix, then the statement

include std::abs;

Type:	Instantiable
Include file:	./Algebra/LUMatrix.hh

Synopsis (including inherited members):

• Public members:
  • LUMatrix (const Matrix<T>&) ;
  • LUMatrix () ;
  • LUMatrix (const LUMatrix<T>&) ;
  • ~LUMatrix () ;
  • LUMatrix<T>& operator= (const LUMatrix<T>&) ;
  • void backSubstitute (Vector<T>&)const ;
  • void backSubstitute (Matrix<T>&)const ;
  • Matrix<T> inverse ()const ;
  • template <class> void backSubstitute (Iterator)const ;

Documentation:

• Public members:

  LUMatrix (const Matrix<T>&) ;

  Constructor.
  Construct triangular decomposition of m. Throw SingularMatrixError if the m is singular.

  void backSubstitute (Vector<T>&)const ;

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

  void backSubstitute (Matrix<T>&)const ;

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

  Matrix<T> inverse ()const ;

  Get inverse.
  Construct and return the inverse.