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      <li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a>      </li>
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<a href="#pub-types">Public Types</a> &#124;
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<div class="title">Eigen::PermutationBase Class Reference<div class="ingroups"><a class="el" href="group___core___module.html">Core module</a></div></div>  </div>
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<!-- doxytag: class="Eigen::PermutationBase" --><!-- doxytag: inherits="EigenBase&lt; Derived &gt;" --><hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Base class for permutations. </p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">Derived</td><td>the derived class</td></tr>
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<p>This class is the base class for all expressions representing a permutation matrix, internally stored as a vector of integers. The convention followed here is that if <img class="formulaInl" alt="$ \sigma $" src="form_134.png"/> is a permutation, the corresponding permutation matrix <img class="formulaInl" alt="$ P_\sigma $" src="form_135.png"/> is such that if <img class="formulaInl" alt="$ (e_1,\ldots,e_p) $" src="form_136.png"/> is the canonical basis, we have: </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ P_\sigma(e_i) = e_{\sigma(i)}. \]" src="form_137.png"/>
</p>
<p> This convention ensures that for any two permutations <img class="formulaInl" alt="$ \sigma, \tau $" src="form_138.png"/>, we have: </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ P_{\sigma\circ\tau} = P_\sigma P_\tau. \]" src="form_139.png"/>
</p>
<p>Permutation matrices are square and invertible.</p>
<p>Notice that in addition to the member functions and operators listed here, there also are non-member operator* to multiply any kind of permutation object with any kind of matrix expression (<a class="el" href="class_eigen_1_1_matrix_base.html" title="Base class for all dense matrices, vectors, and expressions.">MatrixBase</a>) on either side.</p>
<dl class="see"><dt><b>See also:</b></dt><dd>class <a class="el" href="class_eigen_1_1_permutation_matrix.html" title="Permutation matrix.">PermutationMatrix</a>, class <a class="el" href="class_eigen_1_1_permutation_wrapper.html" title="Class to view a vector of integers as a permutation matrix.">PermutationWrapper</a> </dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00030">30</a> of file <a class="el" href="_core_source.html">Core</a>.</p>
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Inheritance diagram for Eigen::PermutationBase:</div>
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<p><a href="class_eigen_1_1_permutation_base-members.html">List of all members.</a></p>
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<tr><td colspan="2"><h2><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef internal::traits<br class="typebreak"/>
&lt; Derived &gt;::<a class="el" href="struct_eigen_1_1_eigen_base.html#a3e5f0e82d3458faaba88b352ee0ab3c9">StorageKind</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#a3e5f0e82d3458faaba88b352ee0ab3c9">StorageKind</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef internal::traits<br class="typebreak"/>
&lt; Derived &gt;::<a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a></td></tr>
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Derived &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#aa2ba53f59a0e1961ef6ec2299ace16e0">operator=</a> (const <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&lt; OtherDerived &gt; &amp;other)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Copies the other permutation into *this.  <a href="#aa2ba53f59a0e1961ef6ec2299ace16e0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Derived &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#aec6581db45d0e86adbf261199dd6661d">operator=</a> (const <a class="el" href="class_eigen_1_1_transpositions_base.html">TranspositionsBase</a>&lt; OtherDerived &gt; &amp;tr)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Assignment from the <a class="el" href="class_eigen_1_1_transpositions.html" title="Represents a sequence of transpositions (row/column interchange)">Transpositions</a> <em>tr</em>.  <a href="#aec6581db45d0e86adbf261199dd6661d"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a8b205ecbcc2f9a3caba5b04729945799">rows</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#aacaf8bc9a6075bc06d35131f2df1f6c7">cols</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a366f2cffa577a229d972425eb92cc91e">size</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">DenseMatrixType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a769a68292f47ac302fadab660ad438fc">toDenseMatrix</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const IndicesType &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a58ff4ec77f1a1c7647a19cd0ea727b16">indices</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">const version of <a class="el" href="class_eigen_1_1_permutation_base.html#a56e0ee02e3372f775ff3d400896c26a6">indices()</a>.  <a href="#a58ff4ec77f1a1c7647a19cd0ea727b16"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">IndicesType &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a56e0ee02e3372f775ff3d400896c26a6">indices</a> ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a828d2f51adb08ba1e251b355ca106799">resize</a> (<a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> size)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Resizes to given size.  <a href="#a828d2f51adb08ba1e251b355ca106799"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a4e922d295299a124ec4a4e98ca913bfe">setIdentity</a> ()</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets *this to be the identity permutation matrix.  <a href="#a4e922d295299a124ec4a4e98ca913bfe"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a153cb6e9ca14fee0336f13b2ae0b8d8e">setIdentity</a> (<a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> size)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets *this to be the identity permutation matrix of given size.  <a href="#a153cb6e9ca14fee0336f13b2ae0b8d8e"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">Derived &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a90dfa04c2679c1d36580ed40889d3082">applyTranspositionOnTheLeft</a> (<a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> i, <a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> j)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies *this by the transposition <img class="formulaInl" alt="$(ij)$" src="form_154.png"/> on the left.  <a href="#a90dfa04c2679c1d36580ed40889d3082"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">Derived &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a03b3f8f23e1c2d67f32c9601876ab31a">applyTranspositionOnTheRight</a> (<a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> i, <a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> j)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies *this by the transposition <img class="formulaInl" alt="$(ij)$" src="form_154.png"/> on the right.  <a href="#a03b3f8f23e1c2d67f32c9601876ab31a"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt; <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a363e27832a4e4cd7950ebf3b21522235">inverse</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt; <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#abc80afc553941382c9d6ad17682e5e60">transpose</a> () const </td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename Other &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">PlainPermutationType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#ac7ab0585e811b4ea1acede157350bc5a">operator*</a> (const <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&lt; Other &gt; &amp;other) const </td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename Other &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">PlainPermutationType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#afd04fc28a07cbd06d31bc804e3957b83">operator*</a> (const <a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt; <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&lt; Other &gt; &gt; &amp;other) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">Derived &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#a35a4d307c7899aa1085b514457a115f0">derived</a> ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const Derived &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#a97b644f9b874bd63f4c7670cfea938e2">derived</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">Derived &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#ac3d065040f8e8021834639161541d48d">const_cast_derived</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const Derived &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#aa51dea5d65f109ab20e0ea56df905256">const_derived</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#afaef5d320adcc8d88f97abe1e32632c4">evalTo</a> (Dest &amp;dst) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#a1baee879ee734fdb840689efe3c9f423">addTo</a> (Dest &amp;dst) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#ad87234f63b2f980f1fabfe835d59da46">subTo</a> (Dest &amp;dst) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#a6fd6d02200197d5de0ce94f42c4bc77f">applyThisOnTheRight</a> (Dest &amp;dst) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_eigen_base.html#ad9a16cf39f46b87197cf226afdfbf438">applyThisOnTheLeft</a> (Dest &amp;dst) const </td></tr>
<tr><td colspan="2"><h2><a name="pri-types"></a>
Private Types</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef internal::traits&lt; Derived &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a2fc3a5f3f95640601fe2be0ac3375001">Traits</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="struct_eigen_1_1_eigen_base.html">EigenBase</a>&lt; Derived &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#aa1d04a401d1d43abb252110b87fbb746">Base</a></td></tr>
<tr><td colspan="2"><h2><a name="friends"></a>
Friends</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename Other &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">PlainPermutationType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html#a0972773a04ab8399ac02a16e5f243310">operator*</a> (const <a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt; <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&lt; Other &gt; &gt; &amp;other, const <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a> &amp;perm)</td></tr>
</table>
<hr/><h2>Member Typedef Documentation</h2>
<a class="anchor" id="aa1d04a401d1d43abb252110b87fbb746"></a><!-- doxytag: member="Eigen::PermutationBase::Base" ref="aa1d04a401d1d43abb252110b87fbb746" args="" -->
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          <td class="memname">typedef <a class="el" href="struct_eigen_1_1_eigen_base.html">EigenBase</a>&lt;Derived&gt; <a class="el" href="class_eigen_1_1_permutation_base.html#aa1d04a401d1d43abb252110b87fbb746">Eigen::PermutationBase::Base</a><code> [private]</code></td>
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<p>Reimplemented in <a class="el" href="class_eigen_1_1_permutation_wrapper.html#a24c288ef12ae68f86480ba289c0c7752">Eigen::PermutationWrapper</a>, <a class="el" href="class_eigen_1_1_map_3_01_permutation_matrix_3_01_size_at_compile_time_00_01_max_size_at_compile_f743474e57c9138756df68cf650ef435.html#a6e25e36e1954160daf120c65536c17ef">Eigen::Map&lt; PermutationMatrix&lt; SizeAtCompileTime, MaxSizeAtCompileTime, IndexType &gt;, _PacketAccess &gt;</a>, and <a class="el" href="class_eigen_1_1_permutation_matrix.html#a7ce265d5d70106d31aa382b03f3d7cbf">Eigen::PermutationMatrix</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00068">68</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="aeb68175f0ebb760c08630fc214a25905"></a><!-- doxytag: member="Eigen::PermutationBase::Index" ref="aeb68175f0ebb760c08630fc214a25905" args="" -->
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          <td class="memname">typedef internal::traits&lt;Derived&gt;::<a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> <a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Eigen::EigenBase::Index</a><code> [inherited]</code></td>
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<p>Reimplemented in <a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_direct_write_accessors_01_4.html#ab5ed8ea5fda474dd0268f7eebd60bab1">Eigen::DenseCoeffsBase&lt; Derived, DirectWriteAccessors &gt;</a>, <a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_direct_accessors_01_4.html#ab2d1d146d43276f66e40e46c5f2bdebd">Eigen::DenseCoeffsBase&lt; Derived, DirectAccessors &gt;</a>, <a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_write_accessors_01_4.html#a01de248eb5606afe32d6764ef715d819">Eigen::DenseCoeffsBase&lt; Derived, WriteAccessors &gt;</a>, <a class="el" href="class_eigen_1_1_triangular_base.html#a69d16a55d353e82ac1dddf02eb2d3249">Eigen::TriangularBase</a>, <a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_read_only_accessors_01_4.html#a53bc23d46175ac7d4bf21185130f5c4a">Eigen::DenseCoeffsBase&lt; Derived, ReadOnlyAccessors &gt;</a>, <a class="el" href="class_eigen_1_1internal_1_1_band_matrix_base.html#a7a3792e804cf3a219c8e3cc9d1a232cb">Eigen::internal::BandMatrixBase</a>, and <a class="el" href="class_eigen_1_1_sparse_matrix_base.html#acbb0df62270e4093bf97eb99454e1f95">Eigen::SparseMatrixBase</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00046">46</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a3e5f0e82d3458faaba88b352ee0ab3c9"></a><!-- doxytag: member="Eigen::PermutationBase::StorageKind" ref="a3e5f0e82d3458faaba88b352ee0ab3c9" args="" -->
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          <td class="memname">typedef internal::traits&lt;Derived&gt;::<a class="el" href="struct_eigen_1_1_eigen_base.html#a3e5f0e82d3458faaba88b352ee0ab3c9">StorageKind</a> <a class="el" href="struct_eigen_1_1_eigen_base.html#a3e5f0e82d3458faaba88b352ee0ab3c9">Eigen::EigenBase::StorageKind</a><code> [inherited]</code></td>
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<p>Reimplemented in <a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_write_accessors_01_4.html#ae712779803d527918d1d10329eaf56a0">Eigen::DenseCoeffsBase&lt; Derived, WriteAccessors &gt;</a>, <a class="el" href="class_eigen_1_1_triangular_base.html#acf6759617ccd8abce085e67b6c495467">Eigen::TriangularBase</a>, <a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_read_only_accessors_01_4.html#a23f6aafda3b1bfa4c10e36c93a8cbab3">Eigen::DenseCoeffsBase&lt; Derived, ReadOnlyAccessors &gt;</a>, and <a class="el" href="class_eigen_1_1_sparse_matrix_base.html#ab06b2b608d163b10871ada126760e6f7">Eigen::SparseMatrixBase</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00045">45</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a2fc3a5f3f95640601fe2be0ac3375001"></a><!-- doxytag: member="Eigen::PermutationBase::Traits" ref="a2fc3a5f3f95640601fe2be0ac3375001" args="" -->
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          <td class="memname">typedef internal::traits&lt;Derived&gt; <a class="el" href="class_eigen_1_1_permutation_base.html#a2fc3a5f3f95640601fe2be0ac3375001">Eigen::PermutationBase::Traits</a><code> [private]</code></td>
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<p>Reimplemented in <a class="el" href="class_eigen_1_1_permutation_wrapper.html#a7e5f494011f29c2d7f594b47a5566401">Eigen::PermutationWrapper</a>, <a class="el" href="class_eigen_1_1_map_3_01_permutation_matrix_3_01_size_at_compile_time_00_01_max_size_at_compile_f743474e57c9138756df68cf650ef435.html#ac74fdc74dfc7098254da41b5bbe0fc04">Eigen::Map&lt; PermutationMatrix&lt; SizeAtCompileTime, MaxSizeAtCompileTime, IndexType &gt;, _PacketAccess &gt;</a>, and <a class="el" href="class_eigen_1_1_permutation_matrix.html#a8fb26e60a9cd0f181a4569bf71596ed0">Eigen::PermutationMatrix</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00067">67</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a1baee879ee734fdb840689efe3c9f423"></a><!-- doxytag: member="Eigen::PermutationBase::addTo" ref="a1baee879ee734fdb840689efe3c9f423" args="(Dest &amp;dst) const " -->
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          <td class="memname">void Eigen::EigenBase::addTo </td>
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<p>Definition at line <a class="el" href="_core_source.html#l00071">71</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="ad9a16cf39f46b87197cf226afdfbf438"></a><!-- doxytag: member="Eigen::PermutationBase::applyThisOnTheLeft" ref="ad9a16cf39f46b87197cf226afdfbf438" args="(Dest &amp;dst) const " -->
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          <td class="memname">void Eigen::EigenBase::applyThisOnTheLeft </td>
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<p>Definition at line <a class="el" href="_core_source.html#l00099">99</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a6fd6d02200197d5de0ce94f42c4bc77f"></a><!-- doxytag: member="Eigen::PermutationBase::applyThisOnTheRight" ref="a6fd6d02200197d5de0ce94f42c4bc77f" args="(Dest &amp;dst) const " -->
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          <td class="memname">void Eigen::EigenBase::applyThisOnTheRight </td>
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<p>Definition at line <a class="el" href="_core_source.html#l00091">91</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a90dfa04c2679c1d36580ed40889d3082"></a><!-- doxytag: member="Eigen::PermutationBase::applyTranspositionOnTheLeft" ref="a90dfa04c2679c1d36580ed40889d3082" args="(Index i, Index j)" -->
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          <td class="paramtype"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td>
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          <td class="paramtype"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td>
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<p>Multiplies *this by the transposition <img class="formulaInl" alt="$(ij)$" src="form_154.png"/> on the left. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>a reference to *this.</dd></dl>
<dl class="warning"><dt><b>Warning:</b></dt><dd>This is much slower than applyTranspositionOnTheRight(int,int): this has linear complexity and requires a lot of branching.</dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd>applyTranspositionOnTheRight(int,int) </dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00183">183</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a03b3f8f23e1c2d67f32c9601876ab31a"></a><!-- doxytag: member="Eigen::PermutationBase::applyTranspositionOnTheRight" ref="a03b3f8f23e1c2d67f32c9601876ab31a" args="(Index i, Index j)" -->
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          <td class="paramname"><em>i</em>, </td>
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          <td class="paramtype"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td>
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<p>Multiplies *this by the transposition <img class="formulaInl" alt="$(ij)$" src="form_154.png"/> on the right. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>a reference to *this.</dd></dl>
<p>This is a fast operation, it only consists in swapping two indices.</p>
<dl class="see"><dt><b>See also:</b></dt><dd>applyTranspositionOnTheLeft(int,int) </dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00202">202</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="aacaf8bc9a6075bc06d35131f2df1f6c7"></a><!-- doxytag: member="Eigen::PermutationBase::cols" ref="aacaf8bc9a6075bc06d35131f2df1f6c7" args="() const " -->
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          <td class="memname"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> Eigen::PermutationBase::cols </td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the number of columns </dd></dl>

<p>Reimplemented from <a class="el" href="struct_eigen_1_1_eigen_base.html#ac1218b50acc85db8d7d9e28c3c2f8b19">Eigen::EigenBase&lt; Derived &gt;</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00123">123</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="ac3d065040f8e8021834639161541d48d"></a><!-- doxytag: member="Eigen::PermutationBase::const_cast_derived" ref="ac3d065040f8e8021834639161541d48d" args="() const " -->
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<p>Definition at line <a class="el" href="_core_source.html#l00053">53</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="aa51dea5d65f109ab20e0ea56df905256"></a><!-- doxytag: member="Eigen::PermutationBase::const_derived" ref="aa51dea5d65f109ab20e0ea56df905256" args="() const " -->
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<p>Definition at line <a class="el" href="_core_source.html#l00055">55</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a35a4d307c7899aa1085b514457a115f0"></a><!-- doxytag: member="Eigen::PermutationBase::derived" ref="a35a4d307c7899aa1085b514457a115f0" args="()" -->
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<dl class="return"><dt><b>Returns:</b></dt><dd>a reference to the derived object </dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00049">49</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a97b644f9b874bd63f4c7670cfea938e2"></a><!-- doxytag: member="Eigen::PermutationBase::derived" ref="a97b644f9b874bd63f4c7670cfea938e2" args="() const " -->
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<dl class="return"><dt><b>Returns:</b></dt><dd>a const reference to the derived object </dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00051">51</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="afaef5d320adcc8d88f97abe1e32632c4"></a><!-- doxytag: member="Eigen::PermutationBase::evalTo" ref="afaef5d320adcc8d88f97abe1e32632c4" args="(Dest &amp;dst) const " -->
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<p>Reimplemented in <a class="el" href="class_eigen_1_1internal_1_1_band_matrix_base.html#a3de25c124bf11c67b7eff9e4d2103598">Eigen::internal::BandMatrixBase</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00067">67</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a58ff4ec77f1a1c7647a19cd0ea727b16"></a><!-- doxytag: member="Eigen::PermutationBase::indices" ref="a58ff4ec77f1a1c7647a19cd0ea727b16" args="() const " -->
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<p>const version of <a class="el" href="class_eigen_1_1_permutation_base.html#a56e0ee02e3372f775ff3d400896c26a6">indices()</a>. </p>

<p>Reimplemented in <a class="el" href="class_eigen_1_1_permutation_wrapper.html#af62cb298a1ee36b235c9050ec2896552">Eigen::PermutationWrapper</a>, <a class="el" href="class_eigen_1_1_map_3_01_permutation_matrix_3_01_size_at_compile_time_00_01_max_size_at_compile_f743474e57c9138756df68cf650ef435.html#a877486ea938f615d267bed108037e61f">Eigen::Map&lt; PermutationMatrix&lt; SizeAtCompileTime, MaxSizeAtCompileTime, IndexType &gt;, _PacketAccess &gt;</a>, and <a class="el" href="class_eigen_1_1_permutation_matrix.html#a025e824408c0b5fdc2843938cceb87a8">Eigen::PermutationMatrix</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00148">148</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a56e0ee02e3372f775ff3d400896c26a6"></a><!-- doxytag: member="Eigen::PermutationBase::indices" ref="a56e0ee02e3372f775ff3d400896c26a6" args="()" -->
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<dl class="return"><dt><b>Returns:</b></dt><dd>a reference to the stored array representing the permutation. </dd></dl>

<p>Reimplemented in <a class="el" href="class_eigen_1_1_map_3_01_permutation_matrix_3_01_size_at_compile_time_00_01_max_size_at_compile_f743474e57c9138756df68cf650ef435.html#a8d0eff98706d54894612f3935b955668">Eigen::Map&lt; PermutationMatrix&lt; SizeAtCompileTime, MaxSizeAtCompileTime, IndexType &gt;, _PacketAccess &gt;</a>, and <a class="el" href="class_eigen_1_1_permutation_matrix.html#a1f86d5f8ff8e9509266684342b01468d">Eigen::PermutationMatrix</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00150">150</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a363e27832a4e4cd7950ebf3b21522235"></a><!-- doxytag: member="Eigen::PermutationBase::inverse" ref="a363e27832a4e4cd7950ebf3b21522235" args="() const " -->
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          <td class="memname"><a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt;<a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&gt; Eigen::PermutationBase::inverse </td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the inverse permutation matrix.</dd></dl>
<dl class="note"><dt><b>Note:</b></dt><dd></dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00213">213</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="ac7ab0585e811b4ea1acede157350bc5a"></a><!-- doxytag: member="Eigen::PermutationBase::operator*" ref="ac7ab0585e811b4ea1acede157350bc5a" args="(const PermutationBase&lt; Other &gt; &amp;other) const " -->
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          <td class="memname">PlainPermutationType Eigen::PermutationBase::operator* </td>
          <td>(</td>
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          <td class="paramname"><em>other</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the product permutation matrix.</dd></dl>
<dl class="note"><dt><b>Note:</b></dt><dd></dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00247">247</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="afd04fc28a07cbd06d31bc804e3957b83"></a><!-- doxytag: member="Eigen::PermutationBase::operator*" ref="afd04fc28a07cbd06d31bc804e3957b83" args="(const Transpose&lt; PermutationBase&lt; Other &gt; &gt; &amp;other) const " -->
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<dl class="return"><dt><b>Returns:</b></dt><dd>the product of a permutation with another inverse permutation.</dd></dl>
<dl class="note"><dt><b>Note:</b></dt><dd></dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00255">255</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="aa2ba53f59a0e1961ef6ec2299ace16e0"></a><!-- doxytag: member="Eigen::PermutationBase::operator=" ref="aa2ba53f59a0e1961ef6ec2299ace16e0" args="(const PermutationBase&lt; OtherDerived &gt; &amp;other)" -->
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<p>Copies the other permutation into *this. </p>

<p>Definition at line <a class="el" href="_core_source.html#l00092">92</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="aec6581db45d0e86adbf261199dd6661d"></a><!-- doxytag: member="Eigen::PermutationBase::operator=" ref="aec6581db45d0e86adbf261199dd6661d" args="(const TranspositionsBase&lt; OtherDerived &gt; &amp;tr)" -->
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<p>Assignment from the <a class="el" href="class_eigen_1_1_transpositions.html" title="Represents a sequence of transpositions (row/column interchange)">Transpositions</a> <em>tr</em>. </p>

<p>Definition at line <a class="el" href="_core_source.html#l00100">100</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a828d2f51adb08ba1e251b355ca106799"></a><!-- doxytag: member="Eigen::PermutationBase::resize" ref="a828d2f51adb08ba1e251b355ca106799" args="(Index size)" -->
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<p>Resizes to given size. </p>

<p>Definition at line <a class="el" href="_core_source.html#l00154">154</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a8b205ecbcc2f9a3caba5b04729945799"></a><!-- doxytag: member="Eigen::PermutationBase::rows" ref="a8b205ecbcc2f9a3caba5b04729945799" args="() const " -->
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          <td class="memname"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> Eigen::PermutationBase::rows </td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the number of rows </dd></dl>

<p>Reimplemented from <a class="el" href="struct_eigen_1_1_eigen_base.html#a04ac741b45b3641e107df871fcbdfa54">Eigen::EigenBase&lt; Derived &gt;</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00120">120</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a4e922d295299a124ec4a4e98ca913bfe"></a><!-- doxytag: member="Eigen::PermutationBase::setIdentity" ref="a4e922d295299a124ec4a4e98ca913bfe" args="()" -->
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<p>Sets *this to be the identity permutation matrix. </p>

<p>Definition at line <a class="el" href="_core_source.html#l00160">160</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a153cb6e9ca14fee0336f13b2ae0b8d8e"></a><!-- doxytag: member="Eigen::PermutationBase::setIdentity" ref="a153cb6e9ca14fee0336f13b2ae0b8d8e" args="(Index size)" -->
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          <td>(</td>
          <td class="paramtype"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a>&#160;</td>
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<p>Sets *this to be the identity permutation matrix of given size. </p>

<p>Definition at line <a class="el" href="_core_source.html#l00168">168</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a366f2cffa577a229d972425eb92cc91e"></a><!-- doxytag: member="Eigen::PermutationBase::size" ref="a366f2cffa577a229d972425eb92cc91e" args="() const " -->
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          <td class="memname"><a class="el" href="struct_eigen_1_1_eigen_base.html#aeb68175f0ebb760c08630fc214a25905">Index</a> Eigen::PermutationBase::size </td>
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          <td> const<code> [inline]</code></td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the size of a side of the respective square matrix, i.e., the number of indices </dd></dl>

<p>Reimplemented from <a class="el" href="struct_eigen_1_1_eigen_base.html#ae4accb349261105d91f56b7f5a4c1c06">Eigen::EigenBase&lt; Derived &gt;</a>.</p>

<p>Definition at line <a class="el" href="_core_source.html#l00126">126</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="ad87234f63b2f980f1fabfe835d59da46"></a><!-- doxytag: member="Eigen::PermutationBase::subTo" ref="ad87234f63b2f980f1fabfe835d59da46" args="(Dest &amp;dst) const " -->
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          <td> const<code> [inline, inherited]</code></td>
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<p>Definition at line <a class="el" href="_core_source.html#l00081">81</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="a769a68292f47ac302fadab660ad438fc"></a><!-- doxytag: member="Eigen::PermutationBase::toDenseMatrix" ref="a769a68292f47ac302fadab660ad438fc" args="() const " -->
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          <td> const<code> [inline]</code></td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>a <a class="el" href="class_eigen_1_1_matrix.html" title="The matrix class, also used for vectors and row-vectors.">Matrix</a> object initialized from this permutation matrix. Notice that it is inefficient to return this <a class="el" href="class_eigen_1_1_matrix.html" title="The matrix class, also used for vectors and row-vectors.">Matrix</a> object by value. For efficiency, favor using the <a class="el" href="class_eigen_1_1_matrix.html" title="The matrix class, also used for vectors and row-vectors.">Matrix</a> constructor taking <a class="el" href="struct_eigen_1_1_eigen_base.html" title="Common base class for all classes T such that MatrixBase has an operator=(T) and a constructor Matrix...">EigenBase</a> objects. </dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00142">142</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<a class="anchor" id="abc80afc553941382c9d6ad17682e5e60"></a><!-- doxytag: member="Eigen::PermutationBase::transpose" ref="abc80afc553941382c9d6ad17682e5e60" args="() const " -->
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          <td class="memname"><a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt;<a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&gt; Eigen::PermutationBase::transpose </td>
          <td>(</td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the tranpose permutation matrix.</dd></dl>
<dl class="note"><dt><b>Note:</b></dt><dd></dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00219">219</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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<hr/><h2>Friends And Related Function Documentation</h2>
<a class="anchor" id="a0972773a04ab8399ac02a16e5f243310"></a><!-- doxytag: member="Eigen::PermutationBase::operator*" ref="a0972773a04ab8399ac02a16e5f243310" args="(const Transpose&lt; PermutationBase&lt; Other &gt; &gt; &amp;other, const PermutationBase &amp;perm)" -->
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          <td class="paramtype">const <a class="el" href="class_eigen_1_1_transpose.html">Transpose</a>&lt; <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a>&lt; Other &gt; &gt; &amp;&#160;</td>
          <td class="paramname"><em>other</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">const <a class="el" href="class_eigen_1_1_permutation_base.html">PermutationBase</a> &amp;&#160;</td>
          <td class="paramname"><em>perm</em>&#160;</td>
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          <td>)</td>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the product of an inverse permutation with another permutation.</dd></dl>
<dl class="note"><dt><b>Note:</b></dt><dd></dd></dl>

<p>Definition at line <a class="el" href="_core_source.html#l00263">263</a> of file <a class="el" href="_core_source.html">Core</a>.</p>

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