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|  | <title>Hermitian Matrix</title> | ||
|  | </head> | ||
|  | <body> | ||
|  | <h1><img src="../../../../boost.png" align="middle" />Hermitian Matrix</h1> | ||
|  | <div class="toc" id="toc"></div> | ||
|  | <h2><a name="hermitian_matrix"></a>Hermitian Matrix</h2> | ||
|  | <h4>Description</h4> | ||
|  | <p>The templated class <code>hermitian_matrix<T, F1, F2, | ||
|  | A></code> is the base container adaptor for hermitian matrices. | ||
|  | For a <em>(n x n</em> )-dimensional hermitian matrix and <em>0 | ||
|  | <= i < n</em>, <em>0 <= j < n</em> holds | ||
|  | <em>h</em><sub><em>i, j</em></sub> <em>= h</em><sub><em>j, | ||
|  | i</em></sub><sup><em>-</em></sup>. The storage of hermitian | ||
|  | matrices is packed.</p> | ||
|  | <h4>Example</h4> | ||
|  | <pre> | ||
|  | #include <boost/numeric/ublas/hermitian.hpp> | ||
|  | #include <boost/numeric/ublas/io.hpp> | ||
|  | 
 | ||
|  | int main () { | ||
|  |     using namespace boost::numeric::ublas; | ||
|  |     hermitian_matrix<std::complex<double>, lower> ml (3, 3); | ||
|  |     for (unsigned i = 0; i < ml.size1 (); ++ i) { | ||
|  |         for (unsigned j = 0; j < i; ++ j) | ||
|  |             ml (i, j) = std::complex<double> (3 * i + j, 3 * i + j); | ||
|  |         ml (i, i) = std::complex<double> (4 * i, 0); | ||
|  |     } | ||
|  |     std::cout << ml << std::endl; | ||
|  |     hermitian_matrix<std::complex<double>, upper> mu (3, 3); | ||
|  |     for (unsigned i = 0; i < mu.size1 (); ++ i) { | ||
|  |         mu (i, i) = std::complex<double> (4 * i, 0); | ||
|  |         for (unsigned j = i + 1; j < mu.size2 (); ++ j) | ||
|  |             mu (i, j) = std::complex<double> (3 * i + j, 3 * i + j); | ||
|  |     } | ||
|  |     std::cout << mu << std::endl; | ||
|  | } | ||
|  | </pre> | ||
|  | <h4>Definition</h4> | ||
|  | <p>Defined in the header hermitian.hpp.</p> | ||
|  | <h4>Template parameters</h4> | ||
|  | <table border="1" summary="parameters"> | ||
|  | <tbody> | ||
|  | <tr> | ||
|  | <th>Parameter</th> | ||
|  | <th>Description</th> | ||
|  | <th>Default</th> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>T</code></td> | ||
|  | <td>The type of object stored in the matrix.</td> | ||
|  | <td></td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>F1</code></td> | ||
|  | <td>Functor describing the type of the hermitian matrix. <a href= | ||
|  | "#hermitian_matrix_1">[1]</a></td> | ||
|  | <td><code>lower</code></td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>F2</code></td> | ||
|  | <td>Functor describing the storage organization. <a href= | ||
|  | "#hermitian_matrix_2">[2]</a></td> | ||
|  | <td><code>row_major</code></td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>A</code></td> | ||
|  | <td>The type of the adapted array. <a href= | ||
|  | "#hermitian_matrix_3">[3]</a></td> | ||
|  | <td><code>unbounded_array<T></code></td> | ||
|  | </tr> | ||
|  | </tbody> | ||
|  | </table> | ||
|  | <h4>Model of</h4> | ||
|  | <p><a href="container_concept.html#matrix">Matrix</a> .</p> | ||
|  | <h4>Type requirements</h4> | ||
|  | <p>None, except for those imposed by the requirements of <a href= | ||
|  | "container_concept.html#matrix">Matrix</a> .</p> | ||
|  | <h4>Public base classes</h4> | ||
|  | <p><code>matrix_container<hermitian_matrix<T, F1, F2, A> | ||
|  | ></code></p> | ||
|  | <h4>Members</h4> | ||
|  | <table border="1" summary="members"> | ||
|  | <tbody> | ||
|  | <tr> | ||
|  | <th>Member</th> | ||
|  | <th>Description</th> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_matrix ()</code></td> | ||
|  | <td>Allocates an uninitialized <code>hermitian_matrix</code> that | ||
|  | holds zero rows of zero elements.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_matrix (size_type size)</code></td> | ||
|  | <td>Allocates an uninitialized <code>hermitian_matrix</code> that | ||
|  | holds <code>size</code> rows of <code>size</code> elements.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_matrix (const hermitian_matrix | ||
|  | &m)</code></td> | ||
|  | <td>The copy constructor.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix (const matrix_expression<AE> | ||
|  | &ae)</code></td> | ||
|  | <td>The extended copy constructor.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>void resize (size_type size, bool preserve = | ||
|  | true)</code></td> | ||
|  | <td>Reallocates a <code>hermitian_matrix</code> to hold | ||
|  | <code>size</code> rows of <code>size</code> elements. The existing | ||
|  | elements of the <code>hermitian_matrix</code> are preseved when | ||
|  | specified.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>size_type size1 () const</code></td> | ||
|  | <td>Returns the number of rows.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>size_type size2 () const</code></td> | ||
|  | <td>Returns the number of columns.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reference operator () (size_type i, size_type j) | ||
|  | const</code></td> | ||
|  | <td>Returns a <code>const</code> reference of the <code>j</code> | ||
|  | -th element in the <code>i</code>-th row.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reference operator () (size_type i, size_type | ||
|  | j)</code></td> | ||
|  | <td>Returns a reference of the <code>j</code>-th element in the | ||
|  | <code>i</code>-th row.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_matrix &operator = (const hermitian_matrix | ||
|  | &m)</code></td> | ||
|  | <td>The assignment operator.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_matrix &assign_temporary (hermitian_matrix | ||
|  | &m)</code></td> | ||
|  | <td>Assigns a temporary. May change the hermitian matrix | ||
|  | <code>m</code> .</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix &operator = (const matrix_expression<AE> | ||
|  | &ae)</code></td> | ||
|  | <td>The extended assignment operator.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix &assign (const matrix_expression<AE> | ||
|  | &ae)</code></td> | ||
|  | <td>Assigns a matrix expression to the hermitian matrix. Left and | ||
|  | right hand side of the assignment should be independent.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix &operator += (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>A computed assignment operator. Adds the matrix expression to | ||
|  | the hermitian matrix.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix &plus_assign (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>Adds a matrix expression to the hermitian matrix. Left and | ||
|  | right hand side of the assignment should be independent.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix &operator -= (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>A computed assignment operator. Subtracts the matrix expression | ||
|  | from the hermitian matrix.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_matrix &minus_assign (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>Subtracts a matrix expression from the hermitian matrix. Left | ||
|  | and right hand side of the assignment should be independent.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AT><br /> | ||
|  | hermitian_matrix &operator *= (const AT &at)</code></td> | ||
|  | <td>A computed assignment operator. Multiplies the hermitian matrix | ||
|  | with a scalar.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AT><br /> | ||
|  | hermitian_matrix &operator /= (const AT &at)</code></td> | ||
|  | <td>A computed assignment operator. Divides the hermitian matrix | ||
|  | through a scalar.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>void swap (hermitian_matrix &m)</code></td> | ||
|  | <td>Swaps the contents of the hermitian matrices.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>void insert (size_type i, size_type j, const_reference | ||
|  | t)</code></td> | ||
|  | <td>Inserts the value <code>t</code> at the <code>j</code>-th | ||
|  | element of the <code>i</code>-th row.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>void erase (size_type i, size_type j)</code></td> | ||
|  | <td>Erases the value at the <code>j</code>-th elemenst of the | ||
|  | <code>i</code>-th row.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>void clear ()</code></td> | ||
|  | <td>Clears the matrix.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator1 begin1 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator1</code> pointing to the | ||
|  | beginning of the <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator1 end1 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator1</code> pointing to the end of | ||
|  | the <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator1 begin1 ()</code></td> | ||
|  | <td>Returns a <code>iterator1</code> pointing to the beginning of | ||
|  | the <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator1 end1 ()</code></td> | ||
|  | <td>Returns a <code>iterator1</code> pointing to the end of the | ||
|  | <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator2 begin2 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator2</code> pointing to the | ||
|  | beginning of the <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator2 end2 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator2</code> pointing to the end of | ||
|  | the <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator2 begin2 ()</code></td> | ||
|  | <td>Returns a <code>iterator2</code> pointing to the beginning of | ||
|  | the <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator2 end2 ()</code></td> | ||
|  | <td>Returns a <code>iterator2</code> pointing to the end of the | ||
|  | <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator1 rbegin1 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator1</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator1 rend1 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator1</code> pointing to the | ||
|  | end of the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator1 rbegin1 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator1</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator1 rend1 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator1</code> pointing to the end of | ||
|  | the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator2 rbegin2 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator2</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator2 rend2 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator2</code> pointing to the | ||
|  | end of the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator2 rbegin2 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator2</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator2 rend2 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator2</code> pointing to the end of | ||
|  | the reversed <code>hermitian_matrix</code>.</td> | ||
|  | </tr> | ||
|  | </tbody> | ||
|  | </table> | ||
|  | <h4>Notes</h4> | ||
|  | <p><a name="hermitian_matrix_1" id="hermitian_matrix_1">[1]</a> | ||
|  | Supported parameters for the type of the hermitian matrix are | ||
|  | <code>lower</code> and <code>upper</code>.</p> | ||
|  | <p><a name="hermitian_matrix_2" id="hermitian_matrix_2">[2]</a> | ||
|  | Supported parameters for the storage organization are | ||
|  | <code>row_major</code> and <code>column_major</code>.</p> | ||
|  | <p><a name="hermitian_matrix_3" id="hermitian_matrix_3">[3]</a> | ||
|  | Supported parameters for the adapted array are | ||
|  | <code>unbounded_array<T></code> , | ||
|  | <code>bounded_array<T></code> and | ||
|  | <code>std::vector<T></code> .</p> | ||
|  | <h2><a name="hermitian_adaptor"></a>Hermitian Adaptor</h2> | ||
|  | <h4>Description</h4> | ||
|  | <p>The templated class <code>hermitian_adaptor<M, F></code> | ||
|  | is a hermitian matrix adaptor for other matrices.</p> | ||
|  | <h4>Example</h4> | ||
|  | <pre> | ||
|  | #include <boost/numeric/ublas/hermitian.hpp> | ||
|  | #include <boost/numeric/ublas/io.hpp> | ||
|  | 
 | ||
|  | int main () { | ||
|  |     using namespace boost::numeric::ublas; | ||
|  |     matrix<std::complex<double> > m (3, 3); | ||
|  |     hermitian_adaptor<matrix<std::complex<double> >, lower> hal (m); | ||
|  |     for (unsigned i = 0; i < hal.size1 (); ++ i) { | ||
|  |         for (unsigned j = 0; j < i; ++ j) | ||
|  |             hal (i, j) = std::complex<double> (3 * i + j, 3 * i + j); | ||
|  |         hal (i, i) = std::complex<double> (4 * i, 0); | ||
|  |     } | ||
|  |     std::cout << hal << std::endl; | ||
|  |     hermitian_adaptor<matrix<std::complex<double> >, upper> hau (m); | ||
|  |     for (unsigned i = 0; i < hau.size1 (); ++ i) { | ||
|  |         hau (i, i) = std::complex<double> (4 * i, 0); | ||
|  |         for (unsigned j = i + 1; j < hau.size2 (); ++ j) | ||
|  |             hau (i, j) = std::complex<double> (3 * i + j, 3 * i + j); | ||
|  |     } | ||
|  |     std::cout << hau << std::endl; | ||
|  | } | ||
|  | </pre> | ||
|  | <h4>Definition</h4> | ||
|  | <p>Defined in the header hermitian.hpp.</p> | ||
|  | <h4>Template parameters</h4> | ||
|  | <table border="1" summary="parameters"> | ||
|  | <tbody> | ||
|  | <tr> | ||
|  | <th>Parameter</th> | ||
|  | <th>Description</th> | ||
|  | <th>Default</th> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>M</code></td> | ||
|  | <td>The type of the adapted matrix.</td> | ||
|  | <td></td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>F</code></td> | ||
|  | <td>Functor describing the type of the hermitian adaptor. <a href= | ||
|  | "#hermitian_adaptor_1">[1]</a></td> | ||
|  | <td><code>lower</code></td> | ||
|  | </tr> | ||
|  | </tbody> | ||
|  | </table> | ||
|  | <h4>Model of</h4> | ||
|  | <p><a href="expression_concept.html#matrix_expression">Matrix Expression</a> | ||
|  | .</p> | ||
|  | <h4>Type requirements</h4> | ||
|  | <p>None, except for those imposed by the requirements of <a href= | ||
|  | "expression_concept.html#matrix_expression">Matrix Expression</a> .</p> | ||
|  | <h4>Public base classes</h4> | ||
|  | <p><code>matrix_expression<hermitian_adaptor<M, F> | ||
|  | ></code></p> | ||
|  | <h4>Members</h4> | ||
|  | <table border="1" summary="members"> | ||
|  | <tbody> | ||
|  | <tr> | ||
|  | <th>Member</th> | ||
|  | <th>Description</th> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_adaptor (matrix_type &data)</code></td> | ||
|  | <td>Constructs a <code>hermitian_adaptor</code> of a matrix.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_adaptor (const hermitian_adaptor | ||
|  | &m)</code></td> | ||
|  | <td>The copy constructor.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor (const matrix_expression<AE> | ||
|  | &ae)</code></td> | ||
|  | <td>The extended copy constructor.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>size_type size1 () const</code></td> | ||
|  | <td>Returns the number of rows.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>size_type size2 () const</code></td> | ||
|  | <td>Returns the number of columns.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reference operator () (size_type i, size_type j) | ||
|  | const</code></td> | ||
|  | <td>Returns a <code>const</code> reference of the <code>j</code> | ||
|  | -th element in the <code>i</code>-th row.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reference operator () (size_type i, size_type | ||
|  | j)</code></td> | ||
|  | <td>Returns a reference of the <code>j</code>-th element in the | ||
|  | <code>i</code>-th row.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_adaptor &operator = (const | ||
|  | hermitian_adaptor &m)</code></td> | ||
|  | <td>The assignment operator.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>hermitian_adaptor &assign_temporary | ||
|  | (hermitian_adaptor &m)</code></td> | ||
|  | <td>Assigns a temporary. May change the hermitian adaptor | ||
|  | <code>m</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor &operator = (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>The extended assignment operator.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor &assign (const matrix_expression<AE> | ||
|  | &ae)</code></td> | ||
|  | <td>Assigns a matrix expression to the hermitian adaptor. Left and | ||
|  | right hand side of the assignment should be independent.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor &operator += (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>A computed assignment operator. Adds the matrix expression to | ||
|  | the hermitian adaptor.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor &plus_assign (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>Adds a matrix expression to the hermitian adaptor. Left and | ||
|  | right hand side of the assignment should be independent.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor &operator -= (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>A computed assignment operator. Subtracts the matrix expression | ||
|  | from the hermitian adaptor.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AE><br /> | ||
|  | hermitian_adaptor &minus_assign (const | ||
|  | matrix_expression<AE> &ae)</code></td> | ||
|  | <td>Subtracts a matrix expression from the hermitian adaptor. Left | ||
|  | and right hand side of the assignment should be independent.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AT><br /> | ||
|  | hermitian_adaptor &operator *= (const AT &at)</code></td> | ||
|  | <td>A computed assignment operator. Multiplies the hermitian | ||
|  | adaptor with a scalar.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>template<class AT><br /> | ||
|  | hermitian_adaptor &operator /= (const AT &at)</code></td> | ||
|  | <td>A computed assignment operator. Divides the hermitian adaptor | ||
|  | through a scalar.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>void swap (hermitian_adaptor &m)</code></td> | ||
|  | <td>Swaps the contents of the hermitian adaptors.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator1 begin1 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator1</code> pointing to the | ||
|  | beginning of the <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator1 end1 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator1</code> pointing to the end of | ||
|  | the <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator1 begin1 ()</code></td> | ||
|  | <td>Returns a <code>iterator1</code> pointing to the beginning of | ||
|  | the <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator1 end1 ()</code></td> | ||
|  | <td>Returns a <code>iterator1</code> pointing to the end of the | ||
|  | <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator2 begin2 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator2</code> pointing to the | ||
|  | beginning of the <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_iterator2 end2 () const</code></td> | ||
|  | <td>Returns a <code>const_iterator2</code> pointing to the end of | ||
|  | the <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator2 begin2 ()</code></td> | ||
|  | <td>Returns a <code>iterator2</code> pointing to the beginning of | ||
|  | the <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>iterator2 end2 ()</code></td> | ||
|  | <td>Returns a <code>iterator2</code> pointing to the end of the | ||
|  | <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator1 rbegin1 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator1</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator1 rend1 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator1</code> pointing to the | ||
|  | end of the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator1 rbegin1 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator1</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator1 rend1 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator1</code> pointing to the end of | ||
|  | the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator2 rbegin2 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator2</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>const_reverse_iterator2 rend2 () const</code></td> | ||
|  | <td>Returns a <code>const_reverse_iterator2</code> pointing to the | ||
|  | end of the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator2 rbegin2 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator2</code> pointing to the | ||
|  | beginning of the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | <tr> | ||
|  | <td><code>reverse_iterator2 rend2 ()</code></td> | ||
|  | <td>Returns a <code>reverse_iterator2</code> pointing to the end of | ||
|  | the reversed <code>hermitian_adaptor</code>.</td> | ||
|  | </tr> | ||
|  | </tbody> | ||
|  | </table> | ||
|  | <h4>Notes</h4> | ||
|  | <p><a name="hermitian_adaptor_1" id="hermitian_adaptor_1">[1]</a> | ||
|  | Supported parameters for the type of the hermitian adaptor are | ||
|  | <code>lower</code> and <code>upper</code>.</p> | ||
|  | <hr /> | ||
|  | <p>Copyright (©) 2000-2002 Joerg Walter, Mathias Koch<br /> | ||
|  |    Use, modification and distribution are subject to the | ||
|  |    Boost Software License, Version 1.0. | ||
|  |    (See accompanying file LICENSE_1_0.txt | ||
|  |    or copy at <a href="http://www.boost.org/LICENSE_1_0.txt"> | ||
|  |       http://www.boost.org/LICENSE_1_0.txt | ||
|  |    </a>). | ||
|  | </p> | ||
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