Dune Core Modules (2.5.0)
diagonalmatrix.hh
Go to the documentation of this file.
72 };
88 };
178 typedef ContainerWrapperIterator<const WrapperType, const_reference, const_reference> ConstIterator;
690 };
696 };
971 class ContainerWrapperIterator : public BidirectionalIteratorFacade<ContainerWrapperIterator<CW,T,R>,T, R, int>
975 friend class ContainerWrapperIterator<CW, typename mutable_reference<T>::type, typename mutable_reference<R>::type>;
976 friend class ContainerWrapperIterator<CW, typename const_reference<T>::type, typename const_reference<R>::type>;
978 typedef ContainerWrapperIterator<CW, typename mutable_reference<T>::type, typename mutable_reference<R>::type> MyType;
979 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:972
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:599
FieldTraits< value_type >::real_type two_norm() const
two norm sqrt(sum over squared values of entries)
Definition: densevector.hh:590
FieldTraits< vt >::real_type infinity_norm() const
infinity norm (maximum of absolute values of entries)
Definition: densevector.hh:610
FieldTraits< vt >::real_type infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: densevector.hh:626
Implements a matrix constructed from a given type representing a field and a compile-time given numbe...
A few common exception classes.
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:28
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:66
size_type dim() const
dimension of the vector space
Definition: diagonalmatrix.hh:773
ConstIterator ConstRowIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:182
FieldVector< K, n > & diagonal()
Get reference to diagonal vector.
Definition: diagonalmatrix.hh:531
DiagonalMatrix()
Default constructor.
Definition: diagonalmatrix.hh:100
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:862
K field_type
export the type representing the field
Definition: diagonalmatrix.hh:678
ConstIterator beforeEnd() const
Definition: diagonalmatrix.hh:746
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:480
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:838
K & diagonal(size_type i)
Get reference to diagonal entry.
Definition: diagonalmatrix.hh:519
void solve(V &x, const V &b) const
Solve system A x = b.
Definition: diagonalmatrix.hh:437
size_type M() const
number of blocks in column direction
Definition: diagonalmatrix.hh:470
const_reference operator[](size_type i) const
Return const_reference object as row replacement.
Definition: diagonalmatrix.hh:507
Iterator iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:144
ConstIterator begin() const
begin ConstIterator
Definition: diagonalmatrix.hh:733
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:893
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:705
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:103
ContainerWrapperIterator< DiagonalRowVector< K, n >, K, K & > Iterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:860
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:730
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
size_type rowIndex() const
index of this row in surrounding matrix
Definition: diagonalmatrix.hh:779
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:135
DiagonalRowVector()
Constructor making uninitialized vector.
Definition: diagonalmatrix.hh:834
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:891
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:525
const K & diagonal(size_type i) const
Get const reference to diagonal entry.
Definition: diagonalmatrix.hh:513
size_type N() const
number of blocks in the vector (are of size 1 here)
Definition: diagonalmatrix.hh:767
DiagonalMatrix(std::initializer_list< K > const &l)
Construct diagonal matrix from an initializer list.
Definition: diagonalmatrix.hh:120
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:825
reference operator[](size_type i)
Return reference object as row replacement.
Definition: diagonalmatrix.hh:501
size_type N() const
number of blocks in row direction
Definition: diagonalmatrix.hh:464
DiagonalMatrix(const FieldVector< K, n > &diag)
Constructor initializing the diagonal with a vector.
Definition: diagonalmatrix.hh:108
std::size_t size_type
The type used for the index access and size operation.
Definition: diagonalmatrix.hh:831
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:63
void umhv(const X &x, Y &y) const
y += A^H x
Definition: diagonalmatrix.hh:320
ConstIterator end() const
end ConstIterator
Definition: diagonalmatrix.hh:739
std::size_t size_type
The type used for the index access and size operation.
Definition: diagonalmatrix.hh:684
DiagonalMatrix & operator=(const K &k)
Assignment from a scalar.
Definition: diagonalmatrix.hh:128
DiagonalRowVectorConst()
Constructor making uninitialized vector.
Definition: diagonalmatrix.hh:699
friend std::ostream & operator<<(std::ostream &s, const DiagonalMatrix< K, n > &a)
Sends the matrix to an output stream.
Definition: diagonalmatrix.hh:490
K value_type
export the type representing the field
Definition: diagonalmatrix.hh:59
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:681
K determinant() const
calculates the determinant of this matrix
Definition: diagonalmatrix.hh:451
ConstIterator beforeBegin() const
Definition: diagonalmatrix.hh:753
ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > ConstIterator
ConstIterator class for sequential access.
Definition: diagonalmatrix.hh:728
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:75
Iterator RowIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:146
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:828
const K & diagonal() const
the diagonal value
Definition: diagonalmatrix.hh:785
@ blocklevel
The number of block levels we contain. This is 1.
Definition: diagonalmatrix.hh:71
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:233
K conjugateComplex(const K &x)
compute conjugate complex of x
Definition: math.hh:103
you have to specialize this structure for any type that should be assignable to a DenseMatrix
Definition: densematrix.hh:74
get the 'mutable' version of a reference to a const object
Definition: genericiterator.hh:114
Traits for type conversions and type information.
Definition of the DUNE_UNUSED macro for the case that config.h is not available.
#define DUNE_UNUSED_PARAMETER(parm)
A macro to mark intentionally unused function parameters with.
Definition: unused.hh:18
|
Legal Statements / Impressum |
Hosted by TU Dresden |
generated with Hugo v0.111.3
(Nov 23, 23:29, 2024)