template class VpsInvMap<class> : public VpsMap<class>

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Invertible power series map

An invertible truncated power series map. The number of variables and the dimension are equal.

Type:	Instantiable
Superclasses:	public VpsMap<class>
Include file:	./Algebra/VpsInvMap.hh

Inheritance

Synopsis (including inherited members):

• Public members:
  • VpsInvMap (int) ;
  • VpsInvMap (const VpsMap<T>&) ;
  • VpsInvMap (const Vps<T>&) ;
  • VpsInvMap (int,const Tps<T>[]) ;
  • VpsInvMap (const Matrix<T>&) ;
  • VpsInvMap (const Vector<T>&) ;
  • VpsInvMap () ;
  • VpsInvMap (const VpsInvMap<T>&) ;
  • ~VpsInvMap () ;
  • VpsInvMap<T>& operator= (const VpsInvMap<T>&) ;
  • void check ()const ;
  • VpsInvMap<T> inverse ()const ;
  • static VpsInvMap<T> identity (int) ;
  • VpsMap<T>& operator= (const VpsMap<T>&) ;
  • VpsMap<T> substitute (const VpsMap<T>&)const ;
  • VpsMap<T> substitute (const Matrix<T>&)const ;
  • VpsMap<T> substitute (const VpsMap<T>&,int)const ;
  • VpsMap<T> substituteInto (const Matrix<T>&)const ;
  • Vector<T> constantTerm (const Vector<T>&)const ;
  • Vector<T> constantTerm ()const ;
  • Matrix<T> linearTerms (const Vector<T>&)const ;
  • Matrix<T> linearTerms ()const ;
  • VpsMap<T> derivative (int)const ;
  • VpsMap<T> integral (int)const ;
  • Vps<T>& operator= (const Vps<T>&) ;
  • const Tps<T>& getComponent (int)const ;
  • void setComponent (int,const Tps<T>&) ;
  • Tps<T>& operator[] (int) ;
  • const Tps<T>& operator[] (int)const ;
  • Vps<T> operator+ ()const ;
  • Vps<T> operator- ()const ;
  • Vps<T>& operator*= (const Tps<T>&) ;
  • Vps<T>& operator/= (const Tps<T>&) ;
  • Vps<T>& operator*= (const T&) ;
  • Vps<T>& operator/= (const T&) ;
  • Vps<T>& operator+= (const Vps<T>&) ;
  • Vps<T>& operator-= (const Vps<T>&) ;
  • Vps<T>& operator+= (const Vector<T>&) ;
  • Vps<T>& operator-= (const Vector<T>&) ;
  • std::istream& get (std::istream&) ;
  • std::ostream& put (std::ostream&)const ;
  • int getDimension ()const ;
  • int getTopOrder ()const ;
  • int getTruncOrder ()const ;
  • int getVariables ()const ;
  • Vps<T> filter (int,int)const ;
  • Vps<T> truncate (int) ;

Documentation:

• Public members:

  VpsInvMap (int) ;

  Constructor.
  Construct identity in nDim variables.

  VpsInvMap (const VpsMap<T>&) ;

  Convert.
  Throw SizeError if rhs is not R**n --> R**n.

  VpsInvMap (const Vps<T>&) ;

  Convert.
  Throw SizeError if rhs is not R**n --> R**n.

  VpsInvMap (int,const Tps<T>[]) ;

  Constructor.
  Construct map of dimension nDim and fill from rhs.

  VpsInvMap (const Matrix<T>&) ;

  Convert.
  The constant terms are zero. The linear terms are taken from M. Throw SizeError if M is not square.

  VpsInvMap (const Vector<T>&) ;

  Convert.
  The constant terms are taken from V. The linear terms are the identity map.

  void check ()const ;

  Check consistency.

  static VpsInvMap<T> identity (int) ;

  Set to identity.

  VpsInvMap<T> inverse ()const ;

  Inverse.