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typedef K | Dune::DiagonalMatrix< K, n >::value_type |
| export the type representing the field
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typedef K | Dune::DiagonalMatrix< K, n >::block_type |
| export the type representing the components
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typedef std::size_t | Dune::DiagonalMatrix< K, n >::size_type |
| The type used for the index access and size operations.
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typedef DiagonalRowVector< K, n > | Dune::DiagonalMatrix< K, n >::row_type |
| Each row is implemented by a field vector.
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typedef ContainerWrapperIterator< const WrapperType, reference, reference > | Dune::DiagonalMatrix< K, n >::Iterator |
| Iterator class for sequential access.
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typedef Iterator | Dune::DiagonalMatrix< K, n >::iterator |
| typedef for stl compliant access
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typedef Iterator | Dune::DiagonalMatrix< K, n >::RowIterator |
| rename the iterators for easier access
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typedef row_type::Iterator | Dune::DiagonalMatrix< K, n >::ColIterator |
| rename the iterators for easier access
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typedef ContainerWrapperIterator< const WrapperType, const_reference, const_reference > | Dune::DiagonalMatrix< K, n >::ConstIterator |
| Iterator class for sequential access.
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typedef ConstIterator | Dune::DiagonalMatrix< K, n >::const_iterator |
| typedef for stl compliant access
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typedef ConstIterator | Dune::DiagonalMatrix< K, n >::ConstRowIterator |
| rename the iterators for easier access
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typedef const_row_type::ConstIterator | Dune::DiagonalMatrix< K, n >::ConstColIterator |
| rename the iterators for easier access
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typedef K | Dune::DiagonalRowVectorConst< K, n >::field_type |
| export the type representing the field
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typedef K | Dune::DiagonalRowVectorConst< K, n >::block_type |
| export the type representing the components
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typedef std::size_t | Dune::DiagonalRowVectorConst< K, n >::size_type |
| The type used for the index access and size operation.
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typedef ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > | Dune::DiagonalRowVectorConst< K, n >::ConstIterator |
| ConstIterator class for sequential access.
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typedef ConstIterator | Dune::DiagonalRowVectorConst< K, n >::const_iterator |
| typedef for stl compliant access
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typedef K | Dune::DiagonalRowVector< K, n >::field_type |
| export the type representing the field
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typedef K | Dune::DiagonalRowVector< K, n >::block_type |
| export the type representing the components
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typedef std::size_t | Dune::DiagonalRowVector< K, n >::size_type |
| The type used for the index access and size operation.
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typedef ContainerWrapperIterator< DiagonalRowVector< K, n >, K, K & > | Dune::DiagonalRowVector< K, n >::Iterator |
| Iterator class for sequential access.
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typedef Iterator | Dune::DiagonalRowVector< K, n >::iterator |
| typedef for stl compliant access
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typedef ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > | Dune::DiagonalRowVector< K, n >::ConstIterator |
| ConstIterator class for sequential access.
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typedef ConstIterator | Dune::DiagonalRowVector< K, n >::const_iterator |
| typedef for stl compliant access
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typedef MultiTypeBlockMatrix< FirstRow, Args... > | Dune::MultiTypeBlockMatrix< FirstRow, Args >::type |
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using | Dune::MultiTypeBlockMatrix< FirstRow, Args >::size_type = std::size_t |
| Type used for sizes.
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using | Dune::MultiTypeBlockMatrix< FirstRow, Args >::field_type = Std::detected_t< std::common_type_t, typename FieldTraits< FirstRow >::field_type, typename FieldTraits< Args >::field_type... > |
| The type used for scalars. More...
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using | Dune::MultiTypeBlockMatrix< FirstRow, Args >::real_type = Std::detected_t< std::common_type_t, typename FieldTraits< FirstRow >::real_type, typename FieldTraits< Args >::real_type... > |
| The type used for real values. More...
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template<typename MAT > |
std::ostream & | Dune::operator<< (std::ostream &s, const DenseMatrix< MAT > &a) |
| Sends the matrix to an output stream.
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constexpr | Dune::DiagonalMatrix< K, n >::DiagonalMatrix ()=default |
| Default constructor.
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| Dune::DiagonalMatrix< K, n >::DiagonalMatrix (const K &k) |
| Constructor initializing the whole matrix with a scalar.
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| Dune::DiagonalMatrix< K, n >::DiagonalMatrix (const FieldVector< K, n > &diag) |
| Constructor initializing the diagonal with a vector.
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| Dune::DiagonalMatrix< K, n >::DiagonalMatrix (std::initializer_list< K > const &l) |
| Construct diagonal matrix from an initializer list. More...
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator= (const K &k) |
| Assignment from a scalar.
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bool | Dune::DiagonalMatrix< K, n >::identical (const DiagonalMatrix< K, n > &other) const |
| Check if matrix is the same object as the other matrix.
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DiagonalMatrix< K, n > | Dune::DiagonalMatrix< K, n >::transposed () const |
| Return transposed of the matrix as DiagonalMatrix.
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Iterator | Dune::DiagonalMatrix< K, n >::begin () |
| begin iterator
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Iterator | Dune::DiagonalMatrix< K, n >::end () |
| end iterator
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Iterator | Dune::DiagonalMatrix< K, n >::beforeEnd () |
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Iterator | Dune::DiagonalMatrix< K, n >::beforeBegin () |
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ConstIterator | Dune::DiagonalMatrix< K, n >::begin () const |
| begin iterator
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ConstIterator | Dune::DiagonalMatrix< K, n >::end () const |
| end iterator
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ConstIterator | Dune::DiagonalMatrix< K, n >::beforeEnd () const |
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ConstIterator | Dune::DiagonalMatrix< K, n >::beforeBegin () const |
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator+= (const DiagonalMatrix &y) |
| vector space addition
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator-= (const DiagonalMatrix &y) |
| vector space subtraction
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator+= (const K &k) |
| vector space multiplication with scalar
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator-= (const K &k) |
| vector space division by scalar
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator*= (const K &k) |
| vector space multiplication with scalar
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DiagonalMatrix & | Dune::DiagonalMatrix< K, n >::operator/= (const K &k) |
| vector space division by scalar
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bool | Dune::DiagonalMatrix< K, n >::operator== (const DiagonalMatrix &other) const |
| comparison operator
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bool | Dune::DiagonalMatrix< K, n >::operator!= (const DiagonalMatrix &other) const |
| incomparison operator
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::mv (const X &x, Y &y) const |
| y = A x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::mtv (const X &x, Y &y) const |
| y = A^T x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::umv (const X &x, Y &y) const |
| y += A x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::umtv (const X &x, Y &y) const |
| y += A^T x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::umhv (const X &x, Y &y) const |
| y += A^H x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::mmv (const X &x, Y &y) const |
| y -= A x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::mmtv (const X &x, Y &y) const |
| y -= A^T x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::mmhv (const X &x, Y &y) const |
| y -= A^H x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::usmv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const |
| y += alpha A x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::usmtv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const |
| y += alpha A^T x
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template<class X , class Y > |
void | Dune::DiagonalMatrix< K, n >::usmhv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const |
| y += alpha A^H x
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double | Dune::DiagonalMatrix< K, n >::frobenius_norm () const |
| frobenius norm: sqrt(sum over squared values of entries)
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double | Dune::DiagonalMatrix< K, n >::frobenius_norm2 () const |
| square of frobenius norm, need for block recursion
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double | Dune::DiagonalMatrix< K, n >::infinity_norm () const |
| infinity norm (row sum norm, how to generalize for blocks?)
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double | Dune::DiagonalMatrix< K, n >::infinity_norm_real () const |
| simplified infinity norm (uses Manhattan norm for complex values)
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template<class V > |
void | Dune::DiagonalMatrix< K, n >::solve (V &x, const V &b) const |
| Solve system A x = b.
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void | Dune::DiagonalMatrix< K, n >::invert () |
| Compute inverse.
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K | Dune::DiagonalMatrix< K, n >::determinant () const |
| calculates the determinant of this matrix
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static constexpr size_type | Dune::DiagonalMatrix< K, n >::N () |
| number of blocks in row direction
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static constexpr size_type | Dune::DiagonalMatrix< K, n >::M () |
| number of blocks in column direction
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bool | Dune::DiagonalMatrix< K, n >::exists (size_type i, size_type j) const |
| return true when (i,j) is in pattern
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reference | Dune::DiagonalMatrix< K, n >::operator[] (size_type i) |
| Return reference object as row replacement.
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const_reference | Dune::DiagonalMatrix< K, n >::operator[] (size_type i) const |
| Return const_reference object as row replacement.
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const K & | Dune::DiagonalMatrix< K, n >::diagonal (size_type i) const |
| Get const reference to diagonal entry.
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K & | Dune::DiagonalMatrix< K, n >::diagonal (size_type i) |
| Get reference to diagonal entry.
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const FieldVector< K, n > & | Dune::DiagonalMatrix< K, n >::diagonal () const |
| Get const reference to diagonal vector.
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FieldVector< K, n > & | Dune::DiagonalMatrix< K, n >::diagonal () |
| Get reference to diagonal vector.
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| Dune::DiagonalRowVectorConst< K, n >::DiagonalRowVectorConst () |
| Constructor making uninitialized vector.
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| Dune::DiagonalRowVectorConst< K, n >::DiagonalRowVectorConst (K *p, int col) |
| Constructor making vector with identical coordinates.
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const K & | Dune::DiagonalRowVectorConst< K, n >::operator[] (size_type i) const |
| same for read only access
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ConstIterator | Dune::DiagonalRowVectorConst< K, n >::begin () const |
| begin ConstIterator
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ConstIterator | Dune::DiagonalRowVectorConst< K, n >::end () const |
| end ConstIterator
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ConstIterator | Dune::DiagonalRowVectorConst< K, n >::beforeEnd () const |
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ConstIterator | Dune::DiagonalRowVectorConst< K, n >::beforeBegin () const |
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bool | Dune::DiagonalRowVectorConst< K, n >::operator== (const DiagonalRowVectorConst &y) const |
| Binary vector comparison.
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size_type | Dune::DiagonalRowVectorConst< K, n >::N () const |
| number of blocks in the vector (are of size 1 here)
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size_type | Dune::DiagonalRowVectorConst< K, n >::dim () const |
| dimension of the vector space
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size_type | Dune::DiagonalRowVectorConst< K, n >::rowIndex () const |
| index of this row in surrounding matrix
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const K & | Dune::DiagonalRowVectorConst< K, n >::diagonal () const |
| the diagonal value
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| Dune::DiagonalRowVector< K, n >::DiagonalRowVector () |
| Constructor making uninitialized vector.
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| Dune::DiagonalRowVector< K, n >::DiagonalRowVector (K *p, int col) |
| Constructor making vector with identical coordinates.
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DiagonalRowVector & | Dune::DiagonalRowVector< K, n >::operator= (const K &k) |
| Assignment operator for scalar.
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K & | Dune::DiagonalRowVector< K, n >::operator[] (size_type i) |
| random access
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Iterator | Dune::DiagonalRowVector< K, n >::begin () |
| begin iterator
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Iterator | Dune::DiagonalRowVector< K, n >::end () |
| end iterator
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Iterator | Dune::DiagonalRowVector< K, n >::beforeEnd () |
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Iterator | Dune::DiagonalRowVector< K, n >::beforeBegin () |
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static constexpr size_type | Dune::MultiTypeBlockMatrix< FirstRow, Args >::N () |
| Return the number of matrix rows.
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static constexpr size_type | Dune::MultiTypeBlockMatrix< FirstRow, Args >::M () |
| Return the number of matrix columns.
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template<size_type index> |
auto | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator[] (const std::integral_constant< size_type, index > indexVariable) -> decltype(std::get< index >(*this)) |
| Random-access operator. More...
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template<size_type index> |
auto | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator[] (const std::integral_constant< size_type, index > indexVariable) const -> decltype(std::get< index >(*this)) |
| Const random-access operator. More...
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template<typename T > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator= (const T &newval) |
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MultiTypeBlockMatrix & | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator*= (const field_type &k) |
| vector space multiplication with scalar
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MultiTypeBlockMatrix & | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator/= (const field_type &k) |
| vector space division by scalar
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MultiTypeBlockMatrix & | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator+= (const MultiTypeBlockMatrix &b) |
| Add the entries of another matrix to this one. More...
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MultiTypeBlockMatrix & | Dune::MultiTypeBlockMatrix< FirstRow, Args >::operator-= (const MultiTypeBlockMatrix &b) |
| Subtract the entries of another matrix from this one. More...
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::mv (const X &x, Y &y) const |
| y = A x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::umv (const X &x, Y &y) const |
| y += A x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::mmv (const X &x, Y &y) const |
| y -= A x
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template<typename AlphaType , typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::usmv (const AlphaType &alpha, const X &x, Y &y) const |
| y += alpha A x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::mtv (const X &x, Y &y) const |
| y = A^T x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::umtv (const X &x, Y &y) const |
| y += A^T x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::mmtv (const X &x, Y &y) const |
| y -= A^T x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::usmtv (const field_type &alpha, const X &x, Y &y) const |
| y += alpha A^T x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::umhv (const X &x, Y &y) const |
| y += A^H x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::mmhv (const X &x, Y &y) const |
| y -= A^H x
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template<typename X , typename Y > |
void | Dune::MultiTypeBlockMatrix< FirstRow, Args >::usmhv (const field_type &alpha, const X &x, Y &y) const |
| y += alpha A^H x
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real_type | Dune::MultiTypeBlockMatrix< FirstRow, Args >::frobenius_norm2 () const |
| square of frobenius norm, need for block recursion
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real_type | Dune::MultiTypeBlockMatrix< FirstRow, Args >::frobenius_norm () const |
| frobenius norm: sqrt(sum over squared values of entries)
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real_type | Dune::MultiTypeBlockMatrix< FirstRow, Args >::infinity_norm () const |
| Bastardized version of the infinity-norm / row-sum norm.
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real_type | Dune::MultiTypeBlockMatrix< FirstRow, Args >::infinity_norm_real () const |
| Bastardized version of the infinity-norm / row-sum norm.
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template<typename T1 , typename... Args> |
std::ostream & | Dune::operator<< (std::ostream &s, const MultiTypeBlockMatrix< T1, Args... > &m) |
| << operator for a MultiTypeBlockMatrix More...
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template<typename Trhs , typename TVector , typename TMatrix , typename K > |
static void | Dune::MultiTypeBlockMatrix_Solver_Col< I, crow, ccol, remain_col >::calc_rhs (const TMatrix &A, TVector &x, TVector &v, Trhs &b, const K &w) |
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template<typename TVector , typename TMatrix , typename K > |
static void | Dune::MultiTypeBlockMatrix_Solver< I, crow, remain_row >::dbgs (const TMatrix &A, TVector &x, const TVector &b, const K &w) |
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template<typename TVector , typename TMatrix , typename K > |
static void | Dune::MultiTypeBlockMatrix_Solver< I, crow, remain_row >::bsorf (const TMatrix &A, TVector &x, const TVector &b, const K &w) |
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template<typename TVector , typename TMatrix , typename K > |
static void | Dune::MultiTypeBlockMatrix_Solver< I, crow, remain_row >::bsorb (const TMatrix &A, TVector &x, const TVector &b, const K &w) |
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template<typename TVector , typename TMatrix , typename K > |
static void | Dune::MultiTypeBlockMatrix_Solver< I, crow, remain_row >::dbjac (const TMatrix &A, TVector &x, const TVector &b, const K &w) |
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template<typename V > |
std::ostream & | operator<< (std::ostream &s, const DenseVector< V > &v) |
| Write a DenseVector to an output stream. More...
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template<class K , class Allocator > |
std::istream & | operator>> (std::istream &in, DynamicVector< K, Allocator > &v) |
| Read a DynamicVector from an input stream. More...
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template<class K , int SIZE> |
std::istream & | operator>> (std::istream &in, FieldVector< K, SIZE > &v) |
| Read a FieldVector from an input stream. More...
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Type traits to retrieve the field and the real type of classes.