Dune Core Modules (2.4.1)
diagonalmatrix.hh
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71 };
87 };
177 typedef ContainerWrapperIterator<const WrapperType, const_reference, const_reference> ConstIterator;
688 };
694 };
976 class ContainerWrapperIterator : public BidirectionalIteratorFacade<ContainerWrapperIterator<CW,T,R>,T, R, int>
980 friend class ContainerWrapperIterator<CW, typename mutable_reference<T>::type, typename mutable_reference<R>::type>;
981 friend class ContainerWrapperIterator<CW, typename const_reference<T>::type, typename const_reference<R>::type>;
983 typedef ContainerWrapperIterator<CW, typename mutable_reference<T>::type, typename mutable_reference<R>::type> MyType;
984 typedef ContainerWrapperIterator<CW, typename const_reference<T>::type, typename const_reference<R>::type> MyConstType;
Facade class for stl conformant bidirectional iterators.
Definition: iteratorfacades.hh:272
Iterator class for sparse vector-like containers.
Definition: diagonalmatrix.hh:977
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:598
FieldTraits< value_type >::real_type two_norm() const
two norm sqrt(sum over squared values of entries)
Definition: densevector.hh:589
FieldTraits< value_type >::real_type infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: densevector.hh:625
FieldTraits< value_type >::real_type infinity_norm() const
infinity norm (maximum of absolute values of entries)
Definition: densevector.hh:607
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.
void mmhv(const X &x, Y &y) const
y -= A^H x
Definition: diagonalmatrix.hh:355
DiagonalMatrix & operator*=(const K &k)
vector space multiplication with scalar
Definition: diagonalmatrix.hh:244
std::size_t size_type
The type used for the index access and size operations.
Definition: diagonalmatrix.hh:65
size_type dim() const
dimension of the vector space
Definition: diagonalmatrix.hh:775
ConstIterator ConstRowIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:181
FieldVector< K, n > & diagonal()
Get reference to diagonal vector.
Definition: diagonalmatrix.hh:529
DiagonalMatrix()
Default constructor.
Definition: diagonalmatrix.hh:99
Iterator iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:867
void usmhv(const K &alpha, const X &x, Y &y) const
y += alpha A^H x
Definition: diagonalmatrix.hh:391
void usmv(const K &alpha, const X &x, Y &y) const
y += alpha A x
Definition: diagonalmatrix.hh:367
K field_type
export the type representing the field
Definition: diagonalmatrix.hh:676
ConstIterator beforeEnd() const
Definition: diagonalmatrix.hh:748
const_row_type::ConstIterator ConstColIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:183
bool exists(size_type i, size_type j) const
return true when (i,j) is in pattern
Definition: diagonalmatrix.hh:476
ContainerWrapperIterator< const WrapperType, const_reference, const_reference > ConstIterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:177
DiagonalRowVector(K *p, int col)
Constructor making vector with identical coordinates.
Definition: diagonalmatrix.hh:840
K & diagonal(size_type i)
Get reference to diagonal entry.
Definition: diagonalmatrix.hh:517
void solve(V &x, const V &b) const
Solve system A x = b.
Definition: diagonalmatrix.hh:433
size_type M() const
number of blocks in column direction
Definition: diagonalmatrix.hh:466
const_reference operator[](size_type i) const
Return const_reference object as row replacement.
Definition: diagonalmatrix.hh:505
Iterator iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:143
ConstIterator begin() const
begin ConstIterator
Definition: diagonalmatrix.hh:735
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:898
DiagonalMatrix & operator-=(const DiagonalMatrix &y)
vector space subtraction
Definition: diagonalmatrix.hh:223
DiagonalRowVectorConst(K *p, int col)
Constructor making vector with identical coordinates.
Definition: diagonalmatrix.hh:703
void mmtv(const X &x, Y &y) const
y -= A^T x
Definition: diagonalmatrix.hh:343
DiagonalMatrix(const K &k)
Constructor initializing the whole matrix with a scalar.
Definition: diagonalmatrix.hh:102
ContainerWrapperIterator< DiagonalRowVector< K, n >, K, K & > Iterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:865
void umtv(const X &x, Y &y) const
y += A^T x
Definition: diagonalmatrix.hh:307
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:732
double infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: diagonalmatrix.hh:422
ContainerWrapperIterator< const WrapperType, reference, reference > Iterator
Iterator class for sequential access.
Definition: diagonalmatrix.hh:141
double frobenius_norm() const
frobenius norm: sqrt(sum over squared values of entries)
Definition: diagonalmatrix.hh:404
size_type rowIndex() const
index of this row in surrounding matrix
Definition: diagonalmatrix.hh:781
bool operator!=(const DiagonalMatrix &other) const
incomparison operator
Definition: diagonalmatrix.hh:266
ConstIterator begin() const
begin iterator
Definition: diagonalmatrix.hh:186
DiagonalMatrix & operator/=(const K &k)
vector space division by scalar
Definition: diagonalmatrix.hh:251
ConstIterator const_iterator
typedef for stl compliant access
Definition: diagonalmatrix.hh:179
bool identical(const DiagonalMatrix< K, n > &other) const
Check if matrix is the same object as the other matrix.
Definition: diagonalmatrix.hh:134
void usmtv(const K &alpha, const X &x, Y &y) const
y += alpha A^T x
Definition: diagonalmatrix.hh:379
DiagonalRowVector()
Constructor making uninitialized vector.
Definition: diagonalmatrix.hh:836
double frobenius_norm2() const
square of frobenius norm, need for block recursion
Definition: diagonalmatrix.hh:410
ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > ConstIterator
ConstIterator class for sequential access.
Definition: diagonalmatrix.hh:896
const FieldVector< K, n > & diagonal() const
Get const reference to diagonal vector.
Definition: diagonalmatrix.hh:523
const K & diagonal(size_type i) const
Get const reference to diagonal entry.
Definition: diagonalmatrix.hh:511
size_type N() const
number of blocks in the vector (are of size 1 here)
Definition: diagonalmatrix.hh:769
DiagonalMatrix(std::initializer_list< K > const &l)
Construct diagonal matrix from an initializer list.
Definition: diagonalmatrix.hh:119
row_type::Iterator ColIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:147
K field_type
export the type representing the field
Definition: diagonalmatrix.hh:827
reference operator[](size_type i)
Return reference object as row replacement.
Definition: diagonalmatrix.hh:499
size_type N() const
number of blocks in row direction
Definition: diagonalmatrix.hh:460
DiagonalMatrix(const FieldVector< K, n > &diag)
Constructor initializing the diagonal with a vector.
Definition: diagonalmatrix.hh:107
std::size_t size_type
The type used for the index access and size operation.
Definition: diagonalmatrix.hh:833
double infinity_norm() const
infinity norm (row sum norm, how to generalize for blocks?)
Definition: diagonalmatrix.hh:416
DiagonalMatrix & operator+=(const DiagonalMatrix &y)
vector space addition
Definition: diagonalmatrix.hh:216
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:62
void umhv(const X &x, Y &y) const
y += A^H x
Definition: diagonalmatrix.hh:319
ConstIterator end() const
end ConstIterator
Definition: diagonalmatrix.hh:741
std::size_t size_type
The type used for the index access and size operation.
Definition: diagonalmatrix.hh:682
DiagonalMatrix & operator=(const K &k)
Assignment from a scalar.
Definition: diagonalmatrix.hh:127
DiagonalRowVectorConst()
Constructor making uninitialized vector.
Definition: diagonalmatrix.hh:697
friend std::ostream & operator<<(std::ostream &s, const DiagonalMatrix< K, n > &a)
Sends the matrix to an output stream.
Definition: diagonalmatrix.hh:488
K value_type
export the type representing the field
Definition: diagonalmatrix.hh:58
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:679
K determinant() const
calculates the determinant of this matrix
Definition: diagonalmatrix.hh:447
ConstIterator beforeBegin() const
Definition: diagonalmatrix.hh:755
ContainerWrapperIterator< DiagonalRowVectorConst< K, n >, const K, const K & > ConstIterator
ConstIterator class for sequential access.
Definition: diagonalmatrix.hh:730
bool operator==(const DiagonalMatrix &other) const
comparison operator
Definition: diagonalmatrix.hh:260
DiagonalRowVector< K, n > row_type
Each row is implemented by a field vector.
Definition: diagonalmatrix.hh:74
Iterator RowIterator
rename the iterators for easier access
Definition: diagonalmatrix.hh:145
K block_type
export the type representing the components
Definition: diagonalmatrix.hh:830
const K & diagonal() const
the diagonal value
Definition: diagonalmatrix.hh:787
@ blocklevel
The number of block levels we contain. This is 1.
Definition: diagonalmatrix.hh:70
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:230
K conjugateComplex(const K &x)
compute conjugate complex of x
Definition: math.hh:103
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 intentional unused function parameters with.
Definition: unused.hh:18
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