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enum | { rows = n
, cols = n
} |
| export size More...
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typedef K | field_type |
| export the type representing the field
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typedef K | block_type |
| export the type representing the components
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typedef std::size_t | size_type |
| The type used for the index access and size operations.
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typedef DiagonalRowVector< K, n > | row_type |
| Each row is implemented by a field vector.
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typedef ContainerWrapperIterator< const WrapperType, reference, reference > | Iterator |
| Iterator class for sequential access.
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typedef Iterator | iterator |
| typedef for stl compliant access
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typedef Iterator | RowIterator |
| rename the iterators for easier access
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typedef row_type::Iterator | ColIterator |
| rename the iterators for easier access
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typedef ContainerWrapperIterator< const WrapperType, const_reference, const_reference > | ConstIterator |
| Iterator class for sequential access.
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typedef ConstIterator | const_iterator |
| typedef for stl compliant access
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typedef ConstIterator | ConstRowIterator |
| rename the iterators for easier access
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typedef const_row_type::ConstIterator | ConstColIterator |
| rename the iterators for easier access
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| ScaledIdentityMatrix () |
| Default constructor.
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| ScaledIdentityMatrix (const K &k) |
| Constructor initializing the whole matrix with a scalar.
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Iterator | begin () |
| begin iterator
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Iterator | end () |
| end iterator
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Iterator | beforeEnd () |
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Iterator | beforeBegin () |
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ConstIterator | begin () const |
| begin iterator
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ConstIterator | end () const |
| end iterator
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ConstIterator | beforeEnd () const |
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ConstIterator | beforeBegin () const |
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ScaledIdentityMatrix & | operator+= (const ScaledIdentityMatrix &y) |
| vector space addition
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ScaledIdentityMatrix & | operator-= (const ScaledIdentityMatrix &y) |
| vector space subtraction
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ScaledIdentityMatrix & | operator+= (const K &k) |
| addition to the diagonal
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ScaledIdentityMatrix & | operator-= (const K &k) |
| subtraction from the diagonal
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ScaledIdentityMatrix & | operator*= (const K &k) |
| vector space multiplication with scalar
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ScaledIdentityMatrix & | operator/= (const K &k) |
| vector space division by scalar
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bool | operator== (const ScaledIdentityMatrix &other) const |
| comparison operator
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bool | operator!= (const ScaledIdentityMatrix &other) const |
| incomparison operator
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template<class X , class Y > |
void | mv (const X &x, Y &y) const |
| y = A x
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template<class X , class Y > |
void | mtv (const X &x, Y &y) const |
| y = A^T x
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template<class X , class Y > |
void | umv (const X &x, Y &y) const |
| y += A x
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template<class X , class Y > |
void | umtv (const X &x, Y &y) const |
| y += A^T x
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template<class X , class Y > |
void | umhv (const X &x, Y &y) const |
| y += A^H x
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template<class X , class Y > |
void | mmv (const X &x, Y &y) const |
| y -= A x
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template<class X , class Y > |
void | mmtv (const X &x, Y &y) const |
| y -= A^T x
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template<class X , class Y > |
void | mmhv (const X &x, Y &y) const |
| y -= A^H x
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template<class X , class Y > |
void | usmv (const K &alpha, const X &x, Y &y) const |
| y += alpha A x
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template<class X , class Y > |
void | usmtv (const K &alpha, const X &x, Y &y) const |
| y += alpha A^T x
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template<class X , class Y > |
void | usmhv (const K &alpha, const X &x, Y &y) const |
| y += alpha A^H x
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FieldTraits< field_type >::real_type | frobenius_norm () const |
| frobenius norm: sqrt(sum over squared values of entries)
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FieldTraits< field_type >::real_type | frobenius_norm2 () const |
| square of frobenius norm, need for block recursion
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FieldTraits< field_type >::real_type | infinity_norm () const |
| infinity norm (row sum norm, how to generalize for blocks?)
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FieldTraits< field_type >::real_type | infinity_norm_real () const |
| simplified infinity norm (uses Manhattan norm for complex values)
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template<class V > |
void | solve (V &x, const V &b) const |
| Solve system A x = b.
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void | invert () |
| Compute inverse.
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K | determinant () const |
| calculates the determinant of this matrix
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size_type | N () const |
| number of blocks in row direction
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size_type | M () const |
| number of blocks in column direction
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bool | exists (size_type i, size_type j) const |
| return true when (i,j) is in pattern
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reference | operator[] (size_type i) |
| Return reference object as row replacement.
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const_reference | operator[] (size_type i) const |
| Return const_reference object as row replacement.
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const K & | diagonal (size_type) const |
| Get const reference to diagonal entry.
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K & | diagonal (size_type) |
| Get reference to diagonal entry.
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const K & | scalar () const |
| Get const reference to the scalar diagonal value.
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K & | scalar () |
| Get reference to the scalar diagonal value.
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template<class K, int n>
class Dune::ScaledIdentityMatrix< K, n >
A multiple of the identity matrix of static size.