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+<title>Matrix</title>
+</head>
+<body>
+<h1><img src="../../../../boost.png" align="middle" />Matrix</h1>
+<div class="toc" id="toc"></div>
+<h2><a name="matrix"></a>Matrix</h2>
+<h4>Description</h4>
+<p>The templated class <code>matrix<T, F, A></code> is the
+base container adaptor for dense matrices. For a <em>(m x
+n</em>)-dimensional matrix and <em>0 <= i < m</em>, <em>0
+<= j < n</em> every element <em>m</em><sub><em>i,
+j</em></sub> is mapped to the <em>(i x n + j)-</em>th element of
+the container for row major orientation or the <em>(i + j x
+m)-</em>th element of the container for column major
+orientation.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/matrix.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ matrix<double> m (3, 3);
+ for (unsigned i = 0; i < m.size1 (); ++ i)
+ for (unsigned j = 0; j < m.size2 (); ++ j)
+ m (i, j) = 3 * i + j;
+ std::cout << m << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header matrix.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>F</code></td>
+<td>Functor describing the storage organization. <a href=
+"#matrix_1">[1]</a></td>
+<td><code>row_major</code></td>
+</tr>
+<tr>
+<td><code>A</code></td>
+<td>The type of the <a href="storage_concept.html">Storage</a> array. <a href="#matrix_2">[2]</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<matrix<T, F, A> ></code></p>
+<h4>Members</h4>
+<table border="1" summary="members">
+<tbody>
+<tr>
+<th>Member</th>
+<th>Description</th>
+</tr>
+<tr>
+<td><code>matrix ()</code></td>
+<td>Allocates an uninitialized <code>matrix</code> that holds zero
+rows of zero elements.</td>
+</tr>
+<tr>
+<td><code>matrix (size_type size1, size_type size2)</code></td>
+<td>Allocates an uninitialized <code>matrix</code> that holds
+<code>size1</code> rows of <code>size2</code> elements.</td>
+</tr>
+<tr>
+<td><code>matrix (const matrix &m)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix (const matrix_expression<AE> &ae)</code></td>
+<td>The extended copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size1, size_type size2, bool
+preserve = true)</code></td>
+<td>Reallocates a <code>matrix</code> to hold <code>size1</code>
+rows of <code>size2</code> elements. The existing elements of the
+<code>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 array_type& data () const</code></td>
+<td></td>
+</tr>
+<tr>
+<td><code>array_type& data ()</code></td>
+<td></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>matrix &operator = (const matrix &m)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>matrix &assign_temporary (matrix &m)</code></td>
+<td>Assigns a temporary. May change the matrix <code>m</code>.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix &operator = (const matrix_expression<AE>
+&ae)</code></td>
+<td>The extended assignment operator.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix &assign (const matrix_expression<AE>
+&ae)</code></td>
+<td>Assigns a matrix expression to the matrix. Left and right hand
+side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix &operator += (const matrix_expression<AE>
+&ae)</code></td>
+<td>A computed assignment operator. Adds the matrix expression to
+the matrix.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix &plus_assign (const matrix_expression<AE>
+&ae)</code></td>
+<td>Adds a matrix expression to the matrix. Left and right hand
+side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix &operator -= (const matrix_expression<AE>
+&ae)</code></td>
+<td>A computed assignment operator. Subtracts the matrix expression
+from the matrix.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+matrix &minus_assign (const matrix_expression<AE>
+&ae)</code></td>
+<td>Subtracts a matrix expression from the matrix. Left and right
+hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+matrix &operator *= (const AT &at)</code></td>
+<td>A computed assignment operator. Multiplies the matrix with a
+scalar.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+matrix &operator /= (const AT &at)</code></td>
+<td>A computed assignment operator. Divides the matrix through a
+scalar.</td>
+</tr>
+<tr>
+<td><code>void swap (matrix &m)</code></td>
+<td>Swaps the contents of the matrices.</td>
+</tr>
+<tr>
+<td><code>void insert_element (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_element (size_type i, size_type j)</code></td>
+<td>Erases the value at the <code>j</code>-th element 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>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>matrix</code>.</td>
+</tr>
+<tr>
+<td><code>iterator1 begin1 ()</code></td>
+<td>Returns a <code>iterator1</code> pointing to the beginning of
+the <code>matrix</code>.</td>
+</tr>
+<tr>
+<td><code>iterator1 end1 ()</code></td>
+<td>Returns a <code>iterator1</code> pointing to the end of the
+<code>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>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>matrix</code>.</td>
+</tr>
+<tr>
+<td><code>iterator2 begin2 ()</code></td>
+<td>Returns a <code>iterator2</code> pointing to the beginning of
+the <code>matrix</code>.</td>
+</tr>
+<tr>
+<td><code>iterator2 end2 ()</code></td>
+<td>Returns a <code>iterator2</code> pointing to the end of the
+<code>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>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>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>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>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>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>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>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>matrix</code>.</td>
+</tr>
+</tbody>
+</table>
+<h4>Notes</h4>
+<p><a name="matrix_1">[1]</a> Supported parameters
+for the storage organization are <code>row_major</code> and
+<code>column_major</code>.</p>
+<p><a name="matrix_2">[2]</a> Common parameters
+for the storage array are <code>unbounded_array<T></code> ,
+<code>bounded_array<T></code> and
+<code>std::vector<T></code> .</p>
+<h2><a name="identity_matrix"></a>Identity Matrix</h2>
+<h4>Description</h4>
+<p>The templated class <code>identity_matrix<T, ALLOC></code>
+represents identity matrices. For a <em>(m x n</em>)-dimensional
+identity matrix and <em>0 <= i < m</em>, <em>0 <= j <
+n</em> holds <em>id</em><sub><em>i, j</em></sub> <em>= 0</em>, if
+<em>i <> j</em>, and <em>id</em><sub><em>i, i</em></sub><em>=
+1</em>.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/matrix.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ identity_matrix<double> m (3);
+ std::cout << m << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header matrix.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><code>int</code></td>
+</tr>
+<tr>
+<td><code>ALLOC</code></td>
+<td>An STL Allocator for size_type and difference_type.</td>
+<td>std::allocator</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<identity_matrix<T>
+></code></p>
+<h4>Members</h4>
+<table border="1" summary="members">
+<tbody>
+<tr>
+<th>Member</th>
+<th>Description</th>
+</tr>
+<tr>
+<td><code>identity_matrix ()</code></td>
+<td>Constructs an <code>identity_matrix</code> that holds zero rows
+of zero elements.</td>
+</tr>
+<tr>
+<td><code>identity_matrix (size_type size)</code></td>
+<td>Constructs an <code>identity_matrix</code> that holds
+<code>size</code> rows of <code>size</code> elements.</td>
+</tr>
+<tr>
+<td><code>identity_matrix (const identity_matrix
+&m)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size, bool preserve =
+true)</code></td>
+<td>Resizes a <code>identity_matrix</code> to hold
+<code>size</code> rows of <code>size</code> elements. Therefore the
+existing elements of the <code>itendity_matrix</code> are always
+preseved.</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 the value of the <code>j</code>-th element in the
+<code>i</code>-th row.</td>
+</tr>
+<tr>
+<td><code>identity_matrix &operator = (const identity_matrix
+&m)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>identity_matrix &assign_temporary (identity_matrix
+&m)</code></td>
+<td>Assigns a temporary. May change the identity matrix
+<code>m</code> .</td>
+</tr>
+<tr>
+<td><code>void swap (identity_matrix &m)</code></td>
+<td>Swaps the contents of the identity matrices.</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>identity_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>identity_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>identity_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>identity_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>identity_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>identity_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>identity_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>identity_matrix</code>.</td>
+</tr>
+</tbody>
+</table>
+<h2><a name="zero_matrix"></a>Zero Matrix</h2>
+<h4>Description</h4>
+<p>The templated class <code>zero_matrix<T, ALLOC></code> represents
+zero matrices. For a <em>(m x n</em>)-dimensional zero matrix and
+<em>0 <= i < m</em>, <em>0 <= j < n</em> holds
+<em>z</em><sub><em>i, j</em></sub> <em>= 0</em>.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/matrix.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ zero_matrix<double> m (3, 3);
+ std::cout << m << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header matrix.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><code>int</code></td>
+</tr>
+<tr>
+<td><code>ALLOC</code></td>
+<td>An STL Allocator for size_type and difference_type.</td>
+<td>std::allocator</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<zero_matrix<T> ></code></p>
+<h4>Members</h4>
+<table border="1" summary="members">
+<tbody>
+<tr>
+<th>Member</th>
+<th>Description</th>
+</tr>
+<tr>
+<td><code>zero_matrix ()</code></td>
+<td>Constructs a <code>zero_matrix</code> that holds zero rows of
+zero elements.</td>
+</tr>
+<tr>
+<td><code>zero_matrix (size_type size1, size_type
+size2)</code></td>
+<td>Constructs a <code>zero_matrix</code> that holds
+<code>size1</code> rows of <code>size2</code> elements.</td>
+</tr>
+<tr>
+<td><code>zero_matrix (const zero_matrix &m)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size1, size_type size2, bool
+preserve = true)</code></td>
+<td>Resizes a <code>zero_matrix</code> to hold <code>size1</code>
+rows of <code>size2</code> elements. Therefore the existing
+elements of the <code>zero_matrix</code> are always preseved.</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 the value of the <code>j</code>-th element in the
+<code>i</code>-th row.</td>
+</tr>
+<tr>
+<td><code>zero_matrix &operator = (const zero_matrix
+&m)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>zero_matrix &assign_temporary (zero_matrix
+&m)</code></td>
+<td>Assigns a temporary. May change the zero matrix <code>m</code>
+.</td>
+</tr>
+<tr>
+<td><code>void swap (zero_matrix &m)</code></td>
+<td>Swaps the contents of the zero matrices.</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>zero_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>zero_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>zero_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>zero_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>zero_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>zero_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>zero_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>zero_matrix</code>.</td>
+</tr>
+</tbody>
+</table>
+<h2><a name="scalar_matrix"></a>Scalar Matrix</h2>
+<h4>Description</h4>
+<p>The templated class <code>scalar_matrix<T, ALLOC></code>
+represents scalar matrices. For a <em>(m x n</em>)-dimensional
+scalar matrix and <em>0 <= i < m</em>, <em>0 <= j <
+n</em> holds <em>z</em><sub><em>i, j</em></sub> <em>= s</em>.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/matrix.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ scalar_matrix<double> m (3, 3);
+ std::cout << m << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header matrix.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><code>int</code></td>
+</tr>
+<tr>
+<td><code>ALLOC</code></td>
+<td>An STL Allocator for size_type and difference_type.</td>
+<td>std::allocator</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<scalar_matrix<T>
+></code></p>
+<h4>Members</h4>
+<table border="1" summary="members">
+<tbody>
+<tr>
+<th>Member</th>
+<th>Description</th>
+</tr>
+<tr>
+<td><code>scalar_matrix ()</code></td>
+<td>Constructs a <code>scalar_matrix</code> that holds scalar rows
+of zero elements.</td>
+</tr>
+<tr>
+<td><code>scalar_matrix (size_type size1, size_type size2, const
+value_type &value)</code></td>
+<td>Constructs a <code>scalar_matrix</code> that holds
+<code>size1</code> rows of <code>size2</code> elements each of the
+specified value.</td>
+</tr>
+<tr>
+<td><code>scalar_matrix (const scalar_matrix &m)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size1, size_type size2, bool
+preserve = true)</code></td>
+<td>Resizes a <code>scalar_matrix</code> to hold <code>size1</code>
+rows of <code>size2</code> elements. Therefore the existing
+elements of the <code>scalar_matrix</code> are always
+preseved.</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 the value of the <code>j</code>-th element in the
+<code>i</code>-th row.</td>
+</tr>
+<tr>
+<td><code>scalar_matrix &operator = (const scalar_matrix
+&m)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>scalar_matrix &assign_temporary (scalar_matrix
+&m)</code></td>
+<td>Assigns a temporary. May change the scalar matrix
+<code>m</code> .</td>
+</tr>
+<tr>
+<td><code>void swap (scalar_matrix &m)</code></td>
+<td>Swaps the contents of the scalar matrices.</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>scalar_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>scalar_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>scalar_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>scalar_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>scalar_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>scalar_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>scalar_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>scalar_matrix</code>.</td>
+</tr>
+</tbody>
+</table>
+<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>
+<script type="text/javascript">
+(function($) {
+ $('#toc').toc();
+})(jQuery);
+</script>
+</body>
+</html>