DUNE PDELab (git)
matrix.hh
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1// SPDX-FileCopyrightText: Copyright © DUNE Project contributors, see file LICENSE.md in module root
Helper functions for determining the vector/matrix block level.
This file implements a vector space as a tensor product of a given vector space. The number of compon...
ConstIterator class for sequential access.
Definition: matrix.hh:404
const window_type * operator->() const
arrow
Definition: matrix.hh:487
const window_type & operator*() const
dereferencing
Definition: matrix.hh:481
ConstIterator & operator++()
prefix increment
Definition: matrix.hh:441
ConstIterator(const B *data, size_type columns, size_type _i)
constructor from pointer
Definition: matrix.hh:414
ConstIterator & operator--()
prefix decrement
Definition: matrix.hh:449
ConstIterator(const Iterator &it)
constructor from non_const iterator
Definition: matrix.hh:420
bool operator!=(const ConstIterator &it) const
inequality
Definition: matrix.hh:463
ConstIterator()
constructor
Definition: matrix.hh:407
bool operator==(const ConstIterator &it) const
equality
Definition: matrix.hh:457
Iterator class for sequential access.
Definition: matrix.hh:263
Iterator & operator--()
prefix decrement
Definition: matrix.hh:308
bool operator!=(const Iterator &it) const
inequality
Definition: matrix.hh:322
Iterator & operator=(Iterator &&other)
Move assignment.
Definition: matrix.hh:282
Iterator & operator++()
prefix increment
Definition: matrix.hh:300
Iterator()
constructor, no arguments
Definition: matrix.hh:266
window_type & operator*() const
dereferencing
Definition: matrix.hh:340
bool operator==(const Iterator &it) const
equality
Definition: matrix.hh:316
Iterator & operator=(Iterator &other)
Copy assignment.
Definition: matrix.hh:291
Iterator(B *data, size_type columns, size_type _i)
constructor
Definition: matrix.hh:276
window_type * operator->() const
arrow
Definition: matrix.hh:346
A Vector of blocks with different blocksizes.
Definition: matrix.hh:44
BlockVector< B, A > block_type
Same as value_type, here for historical reasons.
Definition: matrix.hh:67
DenseMatrixBase & operator=(const DenseMatrixBase &a)
assignment
Definition: matrix.hh:182
typename Imp::BlockTraits< B >::field_type field_type
export the type representing the field
Definition: matrix.hh:50
void resize(size_type rows, size_type columns)
same effect as constructor with same argument
Definition: matrix.hh:153
DenseMatrixBase(size_type rows, size_type columns)
Definition: matrix.hh:95
reference operator[](size_type i)
random access to blocks
Definition: matrix.hh:241
BlockVector< B, A > value_type
Type of the elements of the outer vector, i.e., dynamic vectors of B.
Definition: matrix.hh:63
Iterator find(size_type i)
random access returning iterator (end if not contained)
Definition: matrix.hh:391
size_type N() const
number of blocks in the vector (are of variable size here)
Definition: matrix.hh:539
ConstIterator end() const
end ConstIterator
Definition: matrix.hh:518
ConstIterator rend() const
end ConstIterator
Definition: matrix.hh:531
ConstIterator begin() const
begin ConstIterator
Definition: matrix.hh:512
A allocator_type
export the allocator type
Definition: matrix.hh:53
ConstIterator find(size_type i) const
random access returning iterator (end if not contained)
Definition: matrix.hh:397
A::size_type size_type
The size type for the index access.
Definition: matrix.hh:56
~DenseMatrixBase()
free dynamic memory
Definition: matrix.hh:142
DenseMatrixBase(const DenseMatrixBase &a)
copy constructor, has copy semantics
Definition: matrix.hh:116
FieldTraits< ft >::real_type infinity_norm() const
infinity norm (row sum norm, how to generalize for blocks?)
Definition: matrix.hh:988
FieldTraits< ft >::real_type infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition: matrix.hh:1007
void usmhv(const field_type &alpha, const X &x, Y &y) const
y += alpha A^H x
Definition: matrix.hh:952
void usmv(const field_type &alpha, const X &x, Y &y) const
Definition: matrix.hh:850
MatrixImp::DenseMatrixBase< T, A > data_
Abuse DenseMatrixBase as an engine for a 2d array ISTL-style.
Definition: matrix.hh:1077
Matrix transpose() const
Return the transpose of the matrix.
Definition: matrix.hh:741
MatrixImp::DenseMatrixBase< T, A >::ConstIterator ConstRowIterator
Const iterator over the matrix rows.
Definition: matrix.hh:586
void setSize(size_type rows, size_type cols)
Change the matrix size.
Definition: matrix.hh:604
Matrix & operator-=(const Matrix &b)
Subtract the entries of another matrix from this one.
Definition: matrix.hh:731
FieldTraits< field_type >::real_type frobenius_norm2() const
square of frobenius norm, need for block recursion
Definition: matrix.hh:976
row_type::iterator ColIterator
Iterator for the entries of each row.
Definition: matrix.hh:583
Matrix & operator=(const field_type &t)
Assignment from scalar.
Definition: matrix.hh:662
const row_type operator[](size_type row) const
The const index operator.
Definition: matrix.hh:680
ConstRowIterator end() const
Get const iterator to one beyond last row.
Definition: matrix.hh:642
friend Y operator*(const Matrix< T > &m, const X &vec)
Generic matrix-vector multiplication.
Definition: matrix.hh:766
Matrix< T > & operator*=(const field_type &scalar)
Multiplication with a scalar.
Definition: matrix.hh:701
row_type operator[](size_type row)
The index operator.
Definition: matrix.hh:669
Matrix & operator+=(const Matrix &b)
Add the entries of another matrix to this one.
Definition: matrix.hh:717
ConstRowIterator begin() const
Get const iterator to first row.
Definition: matrix.hh:636
typename Imp::BlockTraits< T >::field_type field_type
Export the type representing the underlying field.
Definition: matrix.hh:565
row_type::const_iterator ConstColIterator
Const iterator for the entries of each row.
Definition: matrix.hh:589
T block_type
Export the type representing the components.
Definition: matrix.hh:568
bool exists(size_type i, size_type j) const
return true if (i,j) is in pattern
Definition: matrix.hh:1064
Matrix< T > & operator/=(const field_type &scalar)
Division by a scalar.
Definition: matrix.hh:707
friend Matrix< T > operator*(const Matrix< T > &m1, const Matrix< T > &m2)
Generic matrix multiplication.
Definition: matrix.hh:751
MatrixImp::DenseMatrixBase< T, A >::window_type row_type
The type implementing a matrix row.
Definition: matrix.hh:574
FieldTraits< field_type >::real_type frobenius_norm() const
frobenius norm: sqrt(sum over squared values of entries)
Definition: matrix.hh:970
void usmtv(const field_type &alpha, const X &x, Y &y) const
y += alpha A^T x
Definition: matrix.hh:901
Matrix(size_type rows, size_type cols)
Create uninitialized matrix of size rows x cols.
Definition: matrix.hh:597
MatrixImp::DenseMatrixBase< T, A >::Iterator RowIterator
Iterator over the matrix rows.
Definition: matrix.hh:580
Traits for type conversions and type information.
Type traits to determine the type of reals (when working with complex numbers)
constexpr auto max
Function object that returns the greater of the given values.
Definition: hybridutilities.hh:484
constexpr auto min
Function object that returns the smaller of the given values.
Definition: hybridutilities.hh:506
bool isNaN(const FieldVector< K, SIZE > &b, PriorityTag< 2 >, ADLTag)
Returns whether any entry is NaN.
Definition: fvector.hh:627
Implements a scalar matrix view wrapper around an existing scalar.
Implements a scalar vector view wrapper around an existing scalar.
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