Dune Core Modules (2.4.2)
Dune::LinearOperator< X, Y > Class Template Referenceabstract
A linear operator. More...
#include <dune/istl/operators.hh>
Public Types  
typedef X  domain_type 
The type of the domain of the operator.  
typedef Y  range_type 
The type of the range of the operator.  
typedef X::field_type  field_type 
The field type of the operator.  
Public Member Functions  
virtual void  apply (const X &x, Y &y) const =0 
apply operator to x: \( y = A(x) \) The input vector is consistent and the output must also be consistent on the interior+border partition.  
virtual void  applyscaleadd (field_type alpha, const X &x, Y &y) const =0 
apply operator to x, scale and add: \( y = y + \alpha A(x) \)  
virtual  ~LinearOperator () 
every abstract base class has a virtual destructor  
Detailed Description
template<class X, class Y>
class Dune::LinearOperator< X, Y >
A linear operator.
Abstract base class defining a linear operator \( A : X\to Y\), i.e. \( A(\alpha x) = \alpha A(x) \) and \( A(x+y) = A(x)+A(y)\) hold. The simplest solvers just need the application \( A(x)\) of the operator.
 enables on the fly computation through operator concept. If explicit representation of the operator is required use AssembledLinearOperator
 Some inverters may need an explicit formation of the operator as a matrix, e.g. BiCGStab, ILU, AMG, etc. In that case use the derived class
The documentation for this class was generated from the following file:
 dune/istl/operators.hh

Legal Statements / Impressum 
Hosted by TU Dresden 
generated with Hugo v0.80.0
(Apr 18, 22:30, 2024)