DUNE PDELab (git)
diagonalmatrix.hh
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3// SPDX-FileCopyrightInfo: Copyright © DUNE Project contributors, see file LICENSE.md in module root
178 typedef ContainerWrapperIterator<const WrapperType, const_reference, const_reference> ConstIterator;
640 return DiagonalMatrix<typename PromotionTraits<K,OtherScalar>::PromotedType, 1>{matrixA.diagonal(0)*matrixB.diagonal(0)};
996 class ContainerWrapperIterator : public BidirectionalIteratorFacade<ContainerWrapperIterator<CW,T,R>,T, R, int>
1000 friend class ContainerWrapperIterator<CW, typename mutable_reference<T>::type, typename mutable_reference<R>::type>;
1001 friend class ContainerWrapperIterator<CW, typename const_reference<T>::type, typename const_reference<R>::type>;
1003 typedef ContainerWrapperIterator<CW, typename mutable_reference<T>::type, typename mutable_reference<R>::type> MyType;
1004 typedef ContainerWrapperIterator<CW, typename const_reference<T>::type, typename const_reference<R>::type> MyConstType;
Macro for wrapping boundary checks.
Facade class for stl conformant bidirectional iterators.
Definition: iteratorfacades.hh:275
Iterator class for sparse vector-like containers.
Definition: diagonalmatrix.hh:997
FieldTraits< value_type >::real_type two_norm2() const
square of two norm (sum over squared values of entries), need for block recursion
Definition: densevector.hh:650
FieldTraits< value_type >::real_type two_norm() const
two norm sqrt(sum over squared values of entries)
Definition: densevector.hh:641
FieldTraits< vt >::real_type infinity_norm() const
infinity norm (maximum of absolute values of entries)
Definition: densevector.hh:661
FieldTraits< vt >::real_type infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: densevector.hh:677
Implements a matrix constructed from a given type representing a field and a compile-time given numbe...
A few common exception classes.
Traits for type conversions and type information.
Implements a matrix constructed from a given type representing a field and compile-time given number ...
Implements a vector constructed from a given type representing a field and a compile-time given size.
Implements a generic iterator class for writing stl conformant iterators.
#define DUNE_ASSERT_BOUNDS(cond)
If DUNE_CHECK_BOUNDS is defined: check if condition cond holds; otherwise, do nothing.
Definition: boundschecking.hh:30
DiagonalMatrix< K, n > transposed() const
Return transposed of the matrix as DiagonalMatrix.
Definition: diagonalmatrix.hh:135
void mmhv(const X &x, Y &y) const
y -= A^H x
Definition: diagonalmatrix.hh:356
DiagonalMatrix & operator*=(const K &k)
vector space multiplication with scalar
Definition: diagonalmatrix.hh:245
std::size_t size_type
The type used for the index access and size operations.
Definition: diagonalmatrix.hh:67
size_type dim() const
dimension of the vector space
Definition: diagonalmatrix.hh:799
ConstIterator ConstRowIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:182
static constexpr int rows
The number of rows.
Definition: diagonalmatrix.hh:81
static constexpr size_type M()
number of blocks in column direction
Definition: diagonalmatrix.hh:487
FieldVector< K, n > & diagonal()
Get reference to diagonal vector.
Definition: diagonalmatrix.hh:548
void usmhv(const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
y += alpha A^H x
Definition: diagonalmatrix.hh:394
Iterator iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:887
static constexpr int blocklevel
The number of block levels we contain. This is the leaf, that is, 1.
Definition: diagonalmatrix.hh:70
K field_type
export the type representing the field
Definition: diagonalmatrix.hh:711
ConstIterator beforeEnd() const
Definition: diagonalmatrix.hh:772
const_row_type::ConstIterator ConstColIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:184
bool exists(size_type i, size_type j) const
return true when (i,j) is in pattern
Definition: diagonalmatrix.hh:497
ContainerWrapperIterator< const WrapperType, const_reference, const_reference > ConstIterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:178
DiagonalRowVector(K *p, int col)
Constructor making vector with identical coordinates.
Definition: diagonalmatrix.hh:864
K & diagonal(size_type i)
Get reference to diagonal entry.
Definition: diagonalmatrix.hh:536
void solve(V &x, const V &b) const
Solve system A x = b.
Definition: diagonalmatrix.hh:437
static constexpr size_type N()
number of blocks in row direction
Definition: diagonalmatrix.hh:481
const_reference operator[](size_type i) const
Return const_reference object as row replacement.
Definition: diagonalmatrix.hh:524
Iterator iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:144
ConstIterator begin() const
begin ConstIterator
Definition: diagonalmatrix.hh:759
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:918
DiagonalMatrix & operator-=(const DiagonalMatrix &y)
vector space subtraction
Definition: diagonalmatrix.hh:224
DiagonalRowVectorConst(K *p, int col)
Constructor making vector with identical coordinates.
Definition: diagonalmatrix.hh:732
void mmtv(const X &x, Y &y) const
y -= A^T x
Definition: diagonalmatrix.hh:344
DiagonalMatrix(const K &k)
Constructor initializing the whole matrix with a scalar.
Definition: diagonalmatrix.hh:98
ContainerWrapperIterator< DiagonalRowVector< K, n >, K, K & > Iterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:885
void umtv(const X &x, Y &y) const
y += A^T x
Definition: diagonalmatrix.hh:308
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:756
double infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: diagonalmatrix.hh:426
ContainerWrapperIterator< const WrapperType, reference, reference > Iterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:142
double frobenius_norm() const
frobenius norm: sqrt(sum over squared values of entries)
Definition: diagonalmatrix.hh:408
static constexpr int cols
The number of columns.
Definition: diagonalmatrix.hh:83
size_type rowIndex() const
index of this row in surrounding matrix
Definition: diagonalmatrix.hh:805
bool operator!=(const DiagonalMatrix &other) const
incomparison operator
Definition: diagonalmatrix.hh:267
ConstIterator begin() const
begin iterator
Definition: diagonalmatrix.hh:187
DiagonalMatrix & operator/=(const K &k)
vector space division by scalar
Definition: diagonalmatrix.hh:252
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:180
bool identical(const DiagonalMatrix< K, n > &other) const
Check if matrix is the same object as the other matrix.
Definition: diagonalmatrix.hh:129
friend auto operator*(const DiagonalMatrix &matrixA, const DiagonalMatrix< OtherScalar, n > &matrixB)
Matrix-matrix multiplication.
Definition: diagonalmatrix.hh:467
DiagonalRowVector()
Constructor making uninitialized vector.
Definition: diagonalmatrix.hh:860
double frobenius_norm2() const
square of frobenius norm, need for block recursion
Definition: diagonalmatrix.hh:414
ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > ConstIterator
ConstIterator class for sequential access.
Definition: diagonalmatrix.hh:916
void usmtv(const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
y += alpha A^T x
Definition: diagonalmatrix.hh:381
const FieldVector< K, n > & diagonal() const
Get const reference to diagonal vector.
Definition: diagonalmatrix.hh:542
const K & diagonal(size_type i) const
Get const reference to diagonal entry.
Definition: diagonalmatrix.hh:530
size_type N() const
number of blocks in the vector (are of size 1 here)
Definition: diagonalmatrix.hh:793
DiagonalMatrix(std::initializer_list< K > const &l)
Construct diagonal matrix from an initializer list.
Definition: diagonalmatrix.hh:115
row_type::Iterator ColIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:148
K field_type
export the type representing the field
Definition: diagonalmatrix.hh:851
reference operator[](size_type i)
Return reference object as row replacement.
Definition: diagonalmatrix.hh:518
DiagonalMatrix(const FieldVector< K, n > &diag)
Constructor initializing the diagonal with a vector.
Definition: diagonalmatrix.hh:103
std::size_t size_type
The type used for the index access and size operation.
Definition: diagonalmatrix.hh:857
void usmv(const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const
y += alpha A x
Definition: diagonalmatrix.hh:368
double infinity_norm() const
infinity norm (row sum norm, how to generalize for blocks?)
Definition: diagonalmatrix.hh:420
DiagonalMatrix & operator+=(const DiagonalMatrix &y)
vector space addition
Definition: diagonalmatrix.hh:217
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:64
void umhv(const X &x, Y &y) const
y += A^H x
Definition: diagonalmatrix.hh:320
ConstIterator end() const
end ConstIterator
Definition: diagonalmatrix.hh:765
std::size_t size_type
The type used for the index access and size operation.
Definition: diagonalmatrix.hh:717
DiagonalMatrix & operator=(const K &k)
Assignment from a scalar.
Definition: diagonalmatrix.hh:122
DiagonalRowVectorConst()
Constructor making uninitialized vector.
Definition: diagonalmatrix.hh:726
friend std::ostream & operator<<(std::ostream &s, const DiagonalMatrix< K, n > &a)
Sends the matrix to an output stream.
Definition: diagonalmatrix.hh:507
K value_type
export the type representing the field
Definition: diagonalmatrix.hh:60
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:714
K determinant() const
calculates the determinant of this matrix
Definition: diagonalmatrix.hh:452
ConstIterator beforeBegin() const
Definition: diagonalmatrix.hh:779
ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > ConstIterator
ConstIterator class for sequential access.
Definition: diagonalmatrix.hh:754
bool operator==(const DiagonalMatrix &other) const
comparison operator
Definition: diagonalmatrix.hh:261
DiagonalRowVector< K, n > row_type
Each row is implemented by a field vector.
Definition: diagonalmatrix.hh:73
Iterator RowIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:146
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:854
const K & diagonal() const
the diagonal value
Definition: diagonalmatrix.hh:811
EnableIfInterOperable< T1, T2, bool >::type operator==(const ForwardIteratorFacade< T1, V1, R1, D > &lhs, const ForwardIteratorFacade< T2, V2, R2, D > &rhs)
Checks for equality.
Definition: iteratorfacades.hh:238
constexpr std::integral_constant< std::size_t, sizeof...(II)> size(std::integer_sequence< T, II... >)
Return the size of the sequence.
Definition: integersequence.hh:75
K conjugateComplex(const K &x)
compute conjugate complex of x
Definition: math.hh:164
you have to specialize this structure for any type that should be assignable to a DenseMatrix
Definition: densematrix.hh:59
get the 'mutable' version of a reference to a const object
Definition: genericiterator.hh:116
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