A solver for diagonal matrices. More...
#include <diagonal.hh>
Public Types | |
| typedef Cmplxtype< F >::type | c_type |
| Real type of data type. | |
| typedef Realtype< F >::type | r_type |
| Real type of data type. | |
| typedef F | type |
| Type of data, e.g. matrix entries. | |
Public Member Functions | |
| DiagonalSolver (const DiagonalMatrix< F > &m) | |
| Constructor. | |
| virtual const uint | dimX () const |
| Returns the size of the image space of the operator (number of rows of the corresponding matrix) | |
| virtual const uint | dimY () const |
| Returns the size of the source space of the operator (number of columns of the corresponding matrix) | |
| virtual void | operator() (const Function< r_type > &rhs, Function< F > &sol) |
Application operator for real function fncY. | |
| void | operator() (const Matrix< r_type > &mX, Matrix< F > &mY) |
| Application method to real matrices. | |
| virtual void | operator() (const Function< c_type > &rhs, Function< c_type > &sol) |
Application operator for complex function fncY. | |
| void | operator() (const Matrix< c_type > &mX, Matrix< c_type > &mY) |
| Application method to complex matrices. | |
| virtual | ~DiagonalSolver () |
Protected Member Functions | |
| virtual std::ostream & | info (std::ostream &os) const |
| Returns information in an output stream. | |
Protected Attributes | |
| uint | dimX_ |
| Dimension of image space and the source space. | |
| uint | dimY_ |
Private Member Functions | |
| template<typename H , typename I > | |
| void | apply_ (const Matrix< H > &mX, Matrix< I > &mY) |
Private Attributes | |
| DiagonalMatrix< F > | inverse_ |
Detailed Description
template<typename F>
class concepts::DiagonalSolver< F >
A solver for diagonal matrices.
Inverts a diagonal matrix and stores this inverse in order to apply it when applying the solver.
- Examples:
-
hpFEM2d-simple.cc, and hpFEM2d.cc.
Definition at line 124 of file diagonal.hh.
Member Typedef Documentation
| typedef Cmplxtype<F>::type concepts::DiagonalSolver< F >::c_type |
Real type of data type.
Reimplemented from concepts::Operator< F >.
Definition at line 129 of file diagonal.hh.
| typedef Realtype<F>::type concepts::DiagonalSolver< F >::r_type |
Real type of data type.
Reimplemented from concepts::Operator< F >.
Definition at line 127 of file diagonal.hh.
typedef F concepts::Operator< F >::type [inherited] |
Type of data, e.g. matrix entries.
Reimplemented in concepts::AfterIteration< F >, and concepts::SubMatrixN< F >.
Definition at line 43 of file compositions.hh.
Constructor & Destructor Documentation
| concepts::DiagonalSolver< F >::DiagonalSolver | ( | const DiagonalMatrix< F > & | m | ) |
Constructor.
- Parameters:
-
m Diagonal matrix to be inverted
| virtual concepts::DiagonalSolver< F >::~DiagonalSolver | ( | ) | [virtual] |
Member Function Documentation
| void concepts::DiagonalSolver< F >::apply_ | ( | const Matrix< H > & | mX, |
| Matrix< I > & | mY | ||
| ) | [private] |
| virtual const uint concepts::Operator< F >::dimX | ( | ) | const [inline, virtual, inherited] |
Returns the size of the image space of the operator (number of rows of the corresponding matrix)
Definition at line 87 of file compositions.hh.
| virtual const uint concepts::Operator< F >::dimY | ( | ) | const [inline, virtual, inherited] |
Returns the size of the source space of the operator (number of columns of the corresponding matrix)
Definition at line 92 of file compositions.hh.
| virtual std::ostream& concepts::DiagonalSolver< F >::info | ( | std::ostream & | os | ) | const [protected, virtual] |
Returns information in an output stream.
Reimplemented from concepts::Operator< F >.
| void concepts::DiagonalSolver< F >::operator() | ( | const Function< c_type > & | fncY, |
| Function< c_type > & | fncX | ||
| ) | [virtual] |
Application operator for complex function fncY.
Computes fncX = A(fncY) where A is this operator. fncX becomes complex.
In derived classes its enough to implement the operator() for complex Operator's. If a real counterpart is not implemented, the function fncY is splitted into real and imaginary part and the application operator for real functions is called for each. Then the result is combined.
If in a derived class the operator() for complex Operator's is not implemented, a exception is thrown from here.
Reimplemented from concepts::Operator< F >.
Definition at line 165 of file diagonal.hh.
| void concepts::DiagonalSolver< F >::operator() | ( | const Function< r_type > & | fncY, |
| Function< F > & | fncX | ||
| ) | [virtual] |
Application operator for real function fncY.
Computes fncX = A(fncY) where A is this operator.
fncX becomes the type of the operator, for real data it becomes real, for complex data it becomes complex.
In derived classes its enough to implement the operator() for real Operator's. If a complex counterpart is not implemented, the function fncY is transformed to a complex function and then the application operator for complex functions is called.
If in a derived class the operator() for real Operator's is not implemented, a exception is thrown from here.
Reimplemented from concepts::Operator< F >.
Definition at line 157 of file diagonal.hh.
| void concepts::DiagonalSolver< F >::operator() | ( | const Matrix< r_type > & | mX, |
| Matrix< F > & | mY | ||
| ) |
Application method to real matrices.
| void concepts::DiagonalSolver< F >::operator() | ( | const Matrix< c_type > & | mX, |
| Matrix< c_type > & | mY | ||
| ) |
Application method to complex matrices.
Member Data Documentation
uint concepts::Operator< F >::dimX_ [protected, inherited] |
Dimension of image space and the source space.
Definition at line 96 of file compositions.hh.
uint concepts::Operator< F >::dimY_ [protected, inherited] |
Definition at line 96 of file compositions.hh.
DiagonalMatrix<F> concepts::DiagonalSolver< F >::inverse_ [private] |
Definition at line 148 of file diagonal.hh.
The documentation for this class was generated from the following file:
- operator/diagonal.hh