C++矩阵处理工具Eigen类浅析

灰太狼 2022-08-18 01:54 125阅读 0赞

###  ###

### 参考 ###

### [http://eigen.tuxfamily.org/dox/classEigen\_1\_1Matrix.html][http_eigen.tuxfamily.org_dox_classEigen_1_1Matrix.html] ###

### 1.Matrix 矩阵 ###

矩阵类多用于单列vector和单行的vector，多用于密集型矩阵或者vectors容器。Vector是只有一列的矩阵，row-vector是只有一行的矩阵。可以定义为固定大小或者动态大小。

### template<typename \_Scalar, int \_Rows, int \_Cols, int \_Options, int \_MaxRows, int \_MaxCols> class Eigen::Matrix< \_Scalar, \_Rows, \_Cols, \_Options, \_MaxRows, \_MaxCols > ###

The matrix class, also used for vectors and row-vectors.

The Matrix class is the work-horse for all *dense* ([note][]) matrices and vectors within [Eigen][]. Vectors are matrices with one column, and row-vectors are matrices with one row.

The Matrix class encompasses *both* fixed-size and dynamic-size objects ([note][note 1]).

The first three template parameters are required:（类型，行、列）

Template Parameters

<table style="font-size:14px; line-height:22px; margin-left:0px; padding-left:0px"> 
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 <td style="color:rgb(96,32,32); white-space:nowrap">_Scalar@anchor</td> 
 <td>matrix_tparam_scalar Numeric type, e.g. float, double, int or std::complex&lt;float&gt;. User defined sclar types are supported as well (see&nbsp;<a href="http://eigen.tuxfamily.org/dox/TopicCustomizingEigen.html#user_defined_scalars" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">here</a>).</td> 
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 <td style="color:rgb(96,32,32); white-space:nowrap">_Rows</td> 
 <td>Number of rows, or&nbsp;Dynamic</td> 
 </tr> 
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 <td style="color:rgb(96,32,32); white-space:nowrap">_Cols</td> 
 <td>Number of columns, or&nbsp;Dynamic</td> 
 </tr> 
 </tbody> 
</table>

### 2.定义类型 ###

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 <td colspan="2" style=""> <h2 style="">Typedefs</h2> </td> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 2, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga099c0678ffaf850329241e45d616f127" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2cd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 2, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga57974378374e0683c6b6896298fbf4be" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2cf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; double, 2, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga5521d9f6a8d61d3f04a819b799ad9a65" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2d</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
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 <td align="right" style="">typedef Matrix&lt; float, 2, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga535a919504bb3bc463b8995c196c1eed" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2f</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
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 <td align="right" style="">typedef Matrix&lt; int, 2, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gab837976997f1fdef130c5f47f712b9b0" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2i</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 2, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga60da1fab27a41c5663ddc22e9d0fe352" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2Xcd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 2, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gae0f19b89e53299d61e32c1e20b4edb53" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2Xcf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double,&nbsp; 2, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga890734166f62e879d08de6822587faed" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2Xd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 2, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga884b083c5e618a56b1b1618d8e07c41b" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2Xf</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 2, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga1e9de46a250c2065ae51792e59ec1568" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix2Xi</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 3, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gae1f1259a1b6332c8d008a9556f89817d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3cd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 3, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gac4bea75663d8da1d0cbddc839497e70e" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3cf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 3, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3d</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; float, 3, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga2b787393a7fc870d99aa634f60b2510c" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3f</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; int, 3, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga4b6688615f30a9959be0285115080c3d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3i</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 3, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga7cf8ff902486d2eccd872ba4781697ba" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3Xcd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 3, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga6cca6232694ed2aa230cfab679beebe7" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3Xcf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; double,&nbsp; 3, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gac889e226b7d67d37f93bafc98adfc9e3" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3Xd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; float, 3, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga79157f175aa49e4079cd847b9bf79410" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3Xf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; int, 3, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga76a5aec1beb4782f445917f66c487798" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix3Xi</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 4, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gab388a941709b398b716c3cc846216a90" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4cd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 4, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga71b8df208787a9dff903b742ee603438" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4cf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; double, 4, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gacd860ff07358f6a703c2c0d4a174e920" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4d</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 4, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga548963d9c2934037af5f8e5b3df87e45" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4f</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 4, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga43fa1a4828b3632224b0a959151ec232" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4i</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 4, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gac8cfbda98260714fbd78a642c4a396d3" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4Xcd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 4, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga7b9a006b847a1b47b4e8a90cd0323565" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4Xcf</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double,&nbsp; 4, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga95566e75fb12a668c77d1e2e005230ef" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4Xd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; float, 4, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga6a28e98ec348cb3f4a48b1cc35646bb1" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4Xf</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 4, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaaa90e93baa6e11e511b968b70d24c18c" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Matrix4Xi</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, Dynamic, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaad959aa3e87b56811ac416b69a550020" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX2cd</a></td> 
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 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, Dynamic, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga9de825e14ff4855c195c2a0e68e71a38" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX2cf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; double,&nbsp; Dynamic, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga06d226c6691b2615b3de62bd18c71630" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX2d</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; float, Dynamic, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga52645c7a2b0d8af2ddae0ccf0f31e8cb" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX2f</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; int, Dynamic, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gab11b939b03a55bc735a7d127df091c87" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX2i</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, Dynamic, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaad6c6930fa3b393089a9473ec6a63b1d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX3cd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, Dynamic, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga73f4699a87c647d4e14c9b5f43173203" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX3cf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; double,&nbsp; Dynamic, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga3e8aca573cae87793e9020bf87decf1f" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX3d</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; float, Dynamic, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga65248c5de749bda7303a570b6d6a2286" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX3f</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; int, Dynamic, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaa2672f548faa60f8a3681032cf8771c9" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX3i</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, Dynamic, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga441ee6a529f06b2147c0dd055df3f906" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX4cd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, Dynamic, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga07a6e071c27f235b2c2d8b50a8b600ad" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX4cf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; double,&nbsp; Dynamic, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gacdfe8c2ae228f821e04de198e0dbe86a" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX4d</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
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 <td align="right" style="">typedef Matrix&lt; float, Dynamic, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga073c9939b5a004734ff171cb04e269b3" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX4f</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, Dynamic, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gadee1b51f69cea68ae7abbd34769c572f" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixX4i</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, Dynamic, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaf1d15c8c24df228ee4869535dcbfa288" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixXcd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, Dynamic, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaec02f1e32a13e5997899a554105ebfd4" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixXcf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double,&nbsp; Dynamic, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga0750af9a6b82761985a15fe77256de87" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixXd</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, Dynamic,&nbsp; Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gabab09c32e96cfa9829a88400627af162" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixXf</a></td> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, Dynamic,&nbsp; Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">MatrixXi</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 1, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga28406bb99d8e58d64245964b7e6dbd21" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector2cd</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 1, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gabd4c4e04935df3a6d74960b983b589df" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector2cf</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 1, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga51deeb3c5f239ffd85174f6327b6c3a8" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector2d</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 1, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gabe998d13d60e68a525540100c0c39001" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector2f</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 1, 2 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga721fa43db56fff83d1f96b2e370653c4" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector2i</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 1, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaff362f0e0c416ababa3aca339aff34aa" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector3cd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 1, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga2787b7330c4c40a846b6fbbc41e6eb82" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector3cf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 1, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gae986937bbeec1aa1291655f47182813f" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector3d</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 1, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gad9a752d5e2af25d55179974812eae685" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector3f</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 1, 3 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gae7b6e03e3177833102d307f98aa543b4" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector3i</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 1, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gac13a7c4030de0d3fbebf9e5c4f66854d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector4cd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 1, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gafc9dad885ad8c89e413e23e35b545219" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector4cf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 1, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga8dcc2e3014b26fdb333486f45dc9090d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector4d</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 1, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga7bab8f3ac41e8fad1184081a256595e9" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector4f</a></td> 
 </tr> 
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 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 1, 4 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga1b8ec6f0766c4900ed6f84f30c36669a" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVector4i</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 1, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gad3da7c10c3de35a4bbfc471fb148374f" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVectorXcd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 1, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga059ec94df743a79cde64618a03441a3c" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVectorXcf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double,&nbsp; 1, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaa444957bc5772dc8e8cdfd1e3782234d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVectorXd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 1, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gad950c8ebb50f405c8eabecb68e873ff4" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVectorXf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 1, Dynamic &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga2a50ca3334794218c2b5096fa25ca229" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">RowVectorXi</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 2, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga5916a4c924969e2a89c4c5d07e062725" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector2cd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 2, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga1abaac5a0208b4cd3b8c255a4d516e13" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector2cf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 2, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga685d563d586f4820b4a2df9a07d98c23" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector2d</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 2, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga7f1b1fd6061c265796ef9f5742854bee" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector2f</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 2, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gae4b211eebc55d300139b0e6e34a06cba" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector2i</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 3, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga512cfe207272d8ece67a9adad344e748" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector3cd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 3, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gac886ec6df0250a7b2527488283857819" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector3cf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 3, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga2006332f6989f501762673e21f5128f5" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector3d</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 3, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga5ac9fb0df0c4858477890cce1f998096" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector3f</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 3, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaa4931fe5bb599038466be823fdfadd04" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector3i</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, 4, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga95401820f49d52fab6bfb4a5d8d4d6d5" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector4cd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, 4, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gaff56da7b25b4c08b0f57c060cc068453" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector4cf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double, 4, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga9bdb6b1010218b700f4bc0d23c7d2ee8" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector4d</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, 4, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga96452a1b0400ea4ef7935e06914a56b1" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector4f</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, 4, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga59796d8b9a2d6b8ae762b4151d9fb87b" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">Vector4i</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; double &gt;, Dynamic, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga3f53566af4e94dd734a669ffcf67560b" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">VectorXcd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; std::complex &lt; float &gt;, Dynamic, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gae1c93041343a1ab92754065baed4ff7d" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">VectorXcf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; double,&nbsp; Dynamic, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga3da45e59796fbacf67fa568297927bd1" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">VectorXd</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; float, Dynamic, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#gafb4ca692a80152d552761e665d0a508c" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">VectorXf</a></td> 
 </tr> 
 <tr> 
 <td colspan="2" style="">&nbsp;</td> 
 </tr> 
 <tr> 
 <td align="right" style="">typedef Matrix&lt; int, Dynamic, 1 &gt;&nbsp;</td> 
 <td style=""><a href="http://eigen.tuxfamily.org/dox/group__matrixtypedefs.html#ga0312eb421909d32007ae4a55b9f22abb" style="color:rgb(70,101,162); font-weight:bold; text-decoration:none" rel="nofollow">VectorXi</a></td> 
 </tr> 
 </tbody> 
</table>

[http_eigen.tuxfamily.org_dox_classEigen_1_1Matrix.html]: http://eigen.tuxfamily.org/dox/classEigen_1_1Matrix.html
[note]: http://eigen.tuxfamily.org/dox/classEigen_1_1Matrix.html#dense
[Eigen]: http://eigen.tuxfamily.org/dox/namespaceEigen.html
[note 1]: http://eigen.tuxfamily.org/dox/classEigen_1_1Matrix.html#fixedsize