3#ifndef DUNE_ISTL_SCALEDIDMATRIX_HH
4#define DUNE_ISTL_SCALEDIDMATRIX_HH
16#include <dune/common/exceptions.hh>
17#include <dune/common/fmatrix.hh>
18#include <dune/common/diagonalmatrix.hh>
19#include <dune/common/ftraits.hh>
26 template<
class K,
int n>
84 return (
this==&
other);
207 return p_==
other.scalar();
213 return p_!=
other.scalar();
219 template<
class X,
class Y>
220 void mv (
const X& x,
Y&
y)
const
222#ifdef DUNE_FMatrix_WITH_CHECKING
223 if (x.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
224 if (
y.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
231 template<
class X,
class Y>
238 template<
class X,
class Y>
241#ifdef DUNE_FMatrix_WITH_CHECKING
242 if (x.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
243 if (
y.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
250 template<
class X,
class Y>
253#ifdef DUNE_FMatrix_WITH_CHECKING
254 if (x.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
255 if (
y.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
262 template<
class X,
class Y>
265#ifdef DUNE_FMatrix_WITH_CHECKING
266 if (x.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
267 if (
y.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
274 template<
class X,
class Y>
277#ifdef DUNE_FMatrix_WITH_CHECKING
278 if (x.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
279 if (
y.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
286 template<
class X,
class Y>
289#ifdef DUNE_FMatrix_WITH_CHECKING
290 if (x.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
291 if (
y.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
298 template<
class X,
class Y>
301#ifdef DUNE_FMatrix_WITH_CHECKING
302 if (x.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
303 if (
y.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
310 template<
class X,
class Y>
311 void usmv (
const K& alpha,
const X& x,
Y&
y)
const
313#ifdef DUNE_FMatrix_WITH_CHECKING
314 if (x.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
315 if (
y.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
318 y[i] += alpha * p_ * x[i];
322 template<
class X,
class Y>
323 void usmtv (
const K& alpha,
const X& x,
Y&
y)
const
325#ifdef DUNE_FMatrix_WITH_CHECKING
326 if (x.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
327 if (
y.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
330 y[i] += alpha * p_ * x[i];
334 template<
class X,
class Y>
335 void usmhv (
const K& alpha,
const X& x,
Y&
y)
const
337#ifdef DUNE_FMatrix_WITH_CHECKING
338 if (x.N()!=
N())
DUNE_THROW(FMatrixError,
"index out of range");
339 if (
y.N()!=
M())
DUNE_THROW(FMatrixError,
"index out of range");
350 return fvmeta::sqrt(n*p_*p_);
368 return fvmeta::absreal(p_);
378 for (
int i=0; i<n; i++)
391 return std::pow(p_,n);
413#ifdef DUNE_FMatrix_WITH_CHECKING
427 s << ((i==j) ? a.p_ : 0) <<
" ";
436 return reference(
const_cast<K*
>(&p_), i);
477 template <
class DenseMatrix,
class field,
int N>
484 for (
int i = 0; i < N; ++i)
Definition basearray.hh:19
Statistics about compression achieved in implicit mode.
Definition bcrsmatrix.hh:81
A multiple of the identity matrix of static size.
Definition scaledidmatrix.hh:28
void usmhv(const K &alpha, const X &x, Y &y) const
y += alpha A^H x
Definition scaledidmatrix.hh:335
void mmtv(const X &x, Y &y) const
y -= A^T x
Definition scaledidmatrix.hh:287
ScaledIdentityMatrix & operator-=(const ScaledIdentityMatrix &y)
vector space subtraction
Definition scaledidmatrix.hh:169
const_row_type::ConstIterator ConstColIterator
rename the iterators for easier access
Definition scaledidmatrix.hh:131
ConstIterator end() const
end iterator
Definition scaledidmatrix.hh:140
Iterator beforeBegin()
Definition scaledidmatrix.hh:118
bool operator!=(const ScaledIdentityMatrix &other) const
incomparison operator
Definition scaledidmatrix.hh:211
void mmv(const X &x, Y &y) const
y -= A x
Definition scaledidmatrix.hh:275
std::size_t size_type
The type used for the index access and size operations.
Definition scaledidmatrix.hh:41
void usmv(const K &alpha, const X &x, Y &y) const
y += alpha A x
Definition scaledidmatrix.hh:311
row_type::Iterator ColIterator
rename the iterators for easier access
Definition scaledidmatrix.hh:95
const_row_type const_reference
Definition scaledidmatrix.hh:53
void mv(const X &x, Y &y) const
y = A x
Definition scaledidmatrix.hh:220
void umtv(const X &x, Y &y) const
y += A^T x
Definition scaledidmatrix.hh:251
void umhv(const X &x, Y &y) const
y += A^H x
Definition scaledidmatrix.hh:263
DiagonalRowVector< K, n > row_type
Each row is implemented by a field vector.
Definition scaledidmatrix.hh:50
ContainerWrapperIterator< const WrapperType, reference, reference > Iterator
Iterator class for sequential access.
Definition scaledidmatrix.hh:89
Iterator beforeEnd()
Definition scaledidmatrix.hh:111
K determinant() const
calculates the determinant of this matrix
Definition scaledidmatrix.hh:390
@ blocklevel
The number of block levels we contain. This is 1.
Definition scaledidmatrix.hh:46
K field_type
export the type representing the field
Definition scaledidmatrix.hh:35
void usmtv(const K &alpha, const X &x, Y &y) const
y += alpha A^T x
Definition scaledidmatrix.hh:323
Iterator end()
end iterator
Definition scaledidmatrix.hh:104
Iterator iterator
typedef for stl compliant access
Definition scaledidmatrix.hh:91
const K & scalar() const
Get const reference to the scalar diagonal value.
Definition scaledidmatrix.hh:459
void umv(const X &x, Y &y) const
y += A x
Definition scaledidmatrix.hh:239
const K & diagonal(size_type) const
Get const reference to diagonal entry.
Definition scaledidmatrix.hh:446
ScaledIdentityMatrix & operator=(const K &k)
Definition scaledidmatrix.hh:75
ContainerWrapperIterator< const WrapperType, const_reference, const_reference > ConstIterator
Iterator class for sequential access.
Definition scaledidmatrix.hh:125
K & diagonal(size_type)
Get reference to diagonal entry.
Definition scaledidmatrix.hh:452
void solve(V &x, const V &b) const
Solve system A x = b.
Definition scaledidmatrix.hh:376
bool exists(size_type i, size_type j) const
return true when (i,j) is in pattern
Definition scaledidmatrix.hh:411
Iterator RowIterator
rename the iterators for easier access
Definition scaledidmatrix.hh:93
ConstIterator const_iterator
typedef for stl compliant access
Definition scaledidmatrix.hh:127
ScaledIdentityMatrix()
Default constructor.
Definition scaledidmatrix.hh:66
bool operator==(const ScaledIdentityMatrix &other) const
comparison operator
Definition scaledidmatrix.hh:205
ConstIterator beforeBegin() const
Definition scaledidmatrix.hh:154
ScaledIdentityMatrix & operator/=(const K &k)
vector space division by scalar
Definition scaledidmatrix.hh:196
friend std::ostream & operator<<(std::ostream &s, const ScaledIdentityMatrix< K, n > &a)
Sends the matrix to an output stream.
Definition scaledidmatrix.hh:423
FieldTraits< field_type >::real_type frobenius_norm2() const
square of frobenius norm, need for block recursion
Definition scaledidmatrix.hh:354
FieldTraits< field_type >::real_type frobenius_norm() const
frobenius norm: sqrt(sum over squared values of entries)
Definition scaledidmatrix.hh:348
FieldTraits< field_type >::real_type infinity_norm() const
infinity norm (row sum norm, how to generalize for blocks?)
Definition scaledidmatrix.hh:360
ConstIterator ConstRowIterator
rename the iterators for easier access
Definition scaledidmatrix.hh:129
ConstIterator beforeEnd() const
Definition scaledidmatrix.hh:147
size_type M() const
number of blocks in column direction
Definition scaledidmatrix.hh:403
const_reference operator[](size_type i) const
Return const_reference object as row replacement.
Definition scaledidmatrix.hh:440
ScaledIdentityMatrix(const K &k)
Constructor initializing the whole matrix with a scalar.
Definition scaledidmatrix.hh:70
FieldTraits< field_type >::real_type infinity_norm_real() const
simplified infinity norm (uses Manhattan norm for complex values)
Definition scaledidmatrix.hh:366
ScaledIdentityMatrix & operator*=(const K &k)
vector space multiplication with scalar
Definition scaledidmatrix.hh:189
bool identical(const ScaledIdentityMatrix< K, n > &other) const
Definition scaledidmatrix.hh:82
void invert()
Compute inverse.
Definition scaledidmatrix.hh:384
Iterator begin()
begin iterator
Definition scaledidmatrix.hh:98
K & scalar()
Get reference to the scalar diagonal value.
Definition scaledidmatrix.hh:466
row_type reference
Definition scaledidmatrix.hh:51
K block_type
export the type representing the components
Definition scaledidmatrix.hh:38
void mmhv(const X &x, Y &y) const
y -= A^H x
Definition scaledidmatrix.hh:299
ScaledIdentityMatrix & operator+=(const ScaledIdentityMatrix &y)
vector space addition
Definition scaledidmatrix.hh:162
DiagonalRowVectorConst< K, n > const_row_type
Definition scaledidmatrix.hh:52
void mtv(const X &x, Y &y) const
y = A^T x
Definition scaledidmatrix.hh:232
reference operator[](size_type i)
Return reference object as row replacement.
Definition scaledidmatrix.hh:434
@ rows
The number of rows.
Definition scaledidmatrix.hh:58
@ cols
The number of columns.
Definition scaledidmatrix.hh:60
ConstIterator begin() const
begin iterator
Definition scaledidmatrix.hh:134
size_type N() const
number of blocks in row direction
Definition scaledidmatrix.hh:397
static void apply(DenseMatrix &denseMatrix, ScaledIdentityMatrix< field, N > const &rhs)
Definition scaledidmatrix.hh:479