dune-common 3.0-git
|
Construct a matrix with a dynamic size. More...
#include <dune/common/dynmatrix.hh>
Public Types | |
typedef Base::size_type | size_type |
typedef Base::value_type | value_type |
typedef Base::row_type | row_type |
enum | |
We are at the leaf of the block recursion. More... | |
typedef Traits::derived_type | derived_type |
type of derived matrix class | |
typedef Traits::value_type | field_type |
export the type representing the field | |
typedef Traits::value_type | block_type |
export the type representing the components | |
typedef Traits::row_reference | row_reference |
The type used to represent a reference to a row (usually row_type &) | |
typedef Traits::const_row_reference | const_row_reference |
The type used to represent a reference to a constant row (usually const row_type &) | |
typedef DenseIterator< DenseMatrix, row_type, row_reference > | Iterator |
Iterator class for sequential access. | |
typedef Iterator | iterator |
typedef for stl compliant access | |
typedef Iterator | RowIterator |
rename the iterators for easier access | |
typedef std::remove_reference< row_reference >::type::Iterator | ColIterator |
rename the iterators for easier access | |
typedef DenseIterator< const DenseMatrix, const row_type, const_row_reference > | ConstIterator |
Iterator class for sequential access. | |
typedef ConstIterator | const_iterator |
typedef for stl compliant access | |
typedef ConstIterator | ConstRowIterator |
rename the iterators for easier access | |
typedef std::remove_reference< const_row_reference >::type::ConstIterator | ConstColIterator |
rename the iterators for easier access | |
Public Member Functions | |
DynamicMatrix () | |
Default constructor. | |
DynamicMatrix (size_type r, size_type c, value_type v=value_type()) | |
Constructor initializing the whole matrix with a scalar. | |
DynamicMatrix (std::initializer_list< DynamicVector< K > > const &ll) | |
Constructor initializing the matrix from a list of vector. | |
void | resize (size_type r, size_type c, value_type v=value_type()) |
resize matrix to r × c | |
size_type | mat_rows () const |
size_type | mat_cols () const |
row_type & | mat_access (size_type i) |
const row_type & | mat_access (size_type i) const |
row_reference | operator[] (size_type i) |
random access | |
const_row_reference | operator[] (size_type i) const |
size_type | size () const |
size method (number of rows) | |
Iterator | begin () |
begin iterator | |
ConstIterator | begin () const |
begin iterator | |
Iterator | end () |
end iterator | |
ConstIterator | end () const |
end iterator | |
Iterator | beforeEnd () |
ConstIterator | beforeEnd () const |
Iterator | beforeBegin () |
ConstIterator | beforeBegin () const |
DenseMatrix & | operator+= (const DenseMatrix< Other > &y) |
vector space addition | |
DenseMatrix & | operator-= (const DenseMatrix< Other > &y) |
vector space subtraction | |
DenseMatrix & | operator*= (const field_type &k) |
vector space multiplication with scalar | |
DenseMatrix & | operator/= (const field_type &k) |
vector space division by scalar | |
DenseMatrix & | axpy (const field_type &k, const DenseMatrix< Other > &y) |
vector space axpy operation (*this += k y) | |
bool | operator== (const DenseMatrix< Other > &y) const |
Binary matrix comparison. | |
bool | operator!= (const DenseMatrix< Other > &y) const |
Binary matrix incomparison. | |
void | mv (const X &x, Y &y) const |
y = A x | |
void | mtv (const X &x, Y &y) const |
y = A^T x | |
void | umv (const X &x, Y &y) const |
y += A x | |
void | umtv (const X &x, Y &y) const |
y += A^T x | |
void | umhv (const X &x, Y &y) const |
y += A^H x | |
void | mmv (const X &x, Y &y) const |
y -= A x | |
void | mmtv (const X &x, Y &y) const |
y -= A^T x | |
void | mmhv (const X &x, Y &y) const |
y -= A^H x | |
void | usmv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const |
y += alpha A x | |
void | usmtv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const |
y += alpha A^T x | |
void | usmhv (const typename FieldTraits< Y >::field_type &alpha, const X &x, Y &y) const |
y += alpha A^H x | |
FieldTraits< value_type >::real_type | frobenius_norm () const |
frobenius norm: sqrt(sum over squared values of entries) | |
FieldTraits< value_type >::real_type | frobenius_norm2 () const |
square of frobenius norm, need for block recursion | |
FieldTraits< vt >::real_type | infinity_norm () const |
infinity norm (row sum norm, how to generalize for blocks?) | |
FieldTraits< vt >::real_type | infinity_norm () const |
infinity norm (row sum norm, how to generalize for blocks?) | |
FieldTraits< vt >::real_type | infinity_norm_real () const |
simplified infinity norm (uses Manhattan norm for complex values) | |
FieldTraits< vt >::real_type | infinity_norm_real () const |
simplified infinity norm (uses Manhattan norm for complex values) | |
void | solve (V &x, const V &b) const |
Solve system A x = b. | |
void | invert () |
Compute inverse. | |
field_type | determinant () const |
calculates the determinant of this matrix | |
DynamicMatrix< K > & | leftmultiply (const DenseMatrix< M2 > &M) |
Multiplies M from the left to this matrix. | |
DynamicMatrix< K > & | rightmultiply (const DenseMatrix< M2 > &M) |
Multiplies M from the right to this matrix. | |
size_type | N () const |
number of rows | |
size_type | M () const |
number of columns | |
size_type | rows () const |
number of rows | |
size_type | cols () const |
number of columns | |
bool | exists (size_type i, size_type j) const |
return true when (i,j) is in pattern | |
Construct a matrix with a dynamic size.
K | is the field type (use float, double, complex, etc) |
|
inherited |
export the type representing the components
|
inherited |
rename the iterators for easier access
|
inherited |
typedef for stl compliant access
|
inherited |
The type used to represent a reference to a constant row (usually const row_type &)
|
inherited |
rename the iterators for easier access
|
inherited |
Iterator class for sequential access.
|
inherited |
rename the iterators for easier access
|
inherited |
type of derived matrix class
|
inherited |
export the type representing the field
|
inherited |
Iterator class for sequential access.
|
inherited |
typedef for stl compliant access
|
inherited |
The type used to represent a reference to a row (usually row_type &)
typedef Base::row_type Dune::DynamicMatrix< K >::row_type |
|
inherited |
rename the iterators for easier access
typedef Base::size_type Dune::DynamicMatrix< K >::size_type |
typedef Base::value_type Dune::DynamicMatrix< K >::value_type |
|
inherited |
We are at the leaf of the block recursion.
|
inline |
Default constructor.
|
inline |
Constructor initializing the whole matrix with a scalar.
|
inline |
Constructor initializing the matrix from a list of vector.
|
inlineinherited |
vector space axpy operation (*this += k y)
|
inlineinherited |
|
inlineinherited |
|
inlineinherited |
|
inlineinherited |
|
inlineinherited |
begin iterator
|
inlineinherited |
begin iterator
|
inlineinherited |
number of columns
|
inherited |
calculates the determinant of this matrix
|
inlineinherited |
end iterator
|
inlineinherited |
end iterator
|
inlineinherited |
return true when (i,j) is in pattern
|
inlineinherited |
frobenius norm: sqrt(sum over squared values of entries)
|
inlineinherited |
square of frobenius norm, need for block recursion
|
inlineinherited |
infinity norm (row sum norm, how to generalize for blocks?)
|
inlineinherited |
infinity norm (row sum norm, how to generalize for blocks?)
|
inlineinherited |
simplified infinity norm (uses Manhattan norm for complex values)
|
inlineinherited |
simplified infinity norm (uses Manhattan norm for complex values)
|
inherited |
Compute inverse.
FMatrixError | if the matrix is singular |
|
inlineinherited |
Multiplies M from the left to this matrix.
|
inlineinherited |
number of columns
|
inline |
|
inline |
|
inline |
|
inline |
|
inlineinherited |
y -= A^H x
|
inlineinherited |
y -= A^T x
|
inlineinherited |
y -= A x
|
inlineinherited |
y = A^T x
|
inlineinherited |
y = A x
|
inlineinherited |
number of rows
|
inlineinherited |
Binary matrix incomparison.
|
inlineinherited |
vector space multiplication with scalar
|
inlineinherited |
vector space addition
|
inlineinherited |
vector space subtraction
|
inlineinherited |
vector space division by scalar
|
inlineinherited |
Binary matrix comparison.
|
inlineinherited |
random access
|
inlineinherited |
|
inline |
resize matrix to r × c
Resize the matrix to r × c
, using v
as the value of all entries.
r | number of rows |
c | number of columns |
v | value of matrix entries |
|
inlineinherited |
Multiplies M from the right to this matrix.
|
inlineinherited |
number of rows
|
inlineinherited |
size method (number of rows)
|
inherited |
Solve system A x = b.
FMatrixError | if the matrix is singular |
|
inlineinherited |
y += A^H x
|
inlineinherited |
y += A^T x
|
inlineinherited |
y += A x
|
inlineinherited |
y += alpha A^H x
|
inlineinherited |
y += alpha A^T x
|
inlineinherited |
y += alpha A x