template class Matrix<class> : public Array2D<class>

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Matrix.

A templated representation for matrices. This class implements the basic algebraic operations on general matrices, which need not be square.

Type:	Instantiable
Superclasses:	public Array2D<class>
Include file:	./Algebra/Matrix.hh

Inheritance

Synopsis (including inherited members):

• Public members:
  • Matrix () ;
  • Matrix (const Array2D<T>&) ;
  • Matrix (int,int) ;
  • Matrix (int,int,const T&) ;
  • Matrix (const Matrix&) ;
  • ~Matrix () ;
  • Matrix<T>& operator= (const Matrix<T>&) ;
  • Matrix<T>& operator= (const Array2D<T>&) ;
  • Matrix<T>& operator*= (const T&) ;
  • Matrix<T>& operator/= (const T&) ;
  • Matrix<T>& operator+= (const Matrix<T>&) ;
  • Matrix<T>& operator-= (const Matrix<T>&) ;
  • Matrix<T>& operator+= (const T&) ;
  • Matrix<T>& operator-= (const T&) ;
  • Matrix<T>& operator*= (const Matrix<T>&) ;
  • Matrix<T> transpose ()const ;
  • Matrix<T> dotm (const Matrix<T>&)const ;
  • Vector<T> dotcv (const Vector<T>&)const ;
  • Vector<T> dotrv (const Vector<T>&)const ;
  • typedef T value_type ;
  • typedef T* iterator ;
  • typedef const T* const_iterator ;
  • typedef T* row_iterator ;
  • typedef const T* const_row_iterator ;
  • typedef SliceIterator<T> col_iterator ;
  • typedef ConstSliceIterator<T> const_col_iterator ;
  • T& operator() (int,int) ;
  • const T& operator() (int,int)const ;
  • int nrows ()const ;
  • int ncols ()const ;
  • int size ()const ;
  • iterator begin () ;
  • iterator end () ;
  • const_iterator begin ()const ;
  • const_iterator end ()const ;
  • row_iterator row_begin (int) ;
  • row_iterator row_end (int) ;
  • const_row_iterator row_begin (int)const ;
  • const_row_iterator row_end (int)const ;
  • row_iterator operator[] (int) ;
  • const_row_iterator operator[] (int)const ;
  • col_iterator col_begin (int) ;
  • col_iterator col_end (int) ;
  • const_col_iterator col_begin (int)const ;
  • const_col_iterator col_end (int)const ;
  • void getColumn (Array1D<T>&,int)const ;
  • void getRow (Array1D<T>&,int)const ;
  • void putColumn (const Array1D<T>&,int) ;
  • void putRow (const Array1D<T>&,int) ;
  • void swapColumns (int,int) ;
  • void swapRows (int,int) ;

Documentation:

• Public members:

  Matrix () ;

  Default constructor.
  Constructs undefined matrix.

  Matrix (const Array2D<T>&) ;

  Conversion.
  From two-dimensional array.

  Matrix (int,int) ;

  Constructor.
  Reserve rows x cols elements and leave them undefined.

  Matrix (int,int,const T&) ;

  Constructor.
  Reserve rows x cols elements and set them to t.

  Vector<T> dotcv (const Vector<T>&)const ;

  Matrix times column vector.

  Matrix<T> dotm (const Matrix<T>&)const ;

  Matrix product.

  Vector<T> dotrv (const Vector<T>&)const ;

  Row vector times matrix.

  Matrix<T>& operator*= (const T&) ;

  Multiply by scalar and assign.

  Matrix<T>& operator*= (const Matrix<T>&) ;

  Multiply by matrix and assign.

  Matrix<T>& operator+= (const Matrix<T>&) ;

  Add matrix and assign..

  Matrix<T>& operator+= (const T&) ;

  Add scalar.
  Add the unit matrix times t and assign. Throw SizeError, if matrix is not square.

  Matrix<T>& operator-= (const Matrix<T>&) ;

  Subtract matrix and assign.

  Matrix<T>& operator-= (const T&) ;

  Subtract scalar.
  Subtract the unit matrix times t and assign. Throw SizeError, if matrix is not square.

  Matrix<T>& operator/= (const T&) ;

  Divide by scalar and assign.

  Matrix<T>& operator= (const Array2D<T>&) ;

  Convert and assign.

  Matrix<T> transpose ()const ;

  Matrix transpose.