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15 <tr><th>Module</th><th>Header file</th><th>Contents</th></tr>
16 …tr><td>\link Core_Module Core \endlink</td><td>\code#include <Eigen/Core>\endcode</td><td>Matrix a…
17 …tr class="alt"><td>\link Geometry_Module Geometry \endlink</td><td>\code#include <Eigen/Geometry>\…
18 …tr><td>\link LU_Module LU \endlink</td><td>\code#include <Eigen/LU>\endcode</td><td>Inverse, deter…
19 …tr><td>\link Cholesky_Module Cholesky \endlink</td><td>\code#include <Eigen/Cholesky>\endcode</td>…
20 …tr class="alt"><td>\link Householder_Module Householder \endlink</td><td>\code#include <Eigen/Hous…
21 <tr><td>\link SVD_Module SVD \endlink</td><td>\code#include <Eigen/SVD>\endcode</td><td>SVD decompo…
22 …tr class="alt"><td>\link QR_Module QR \endlink</td><td>\code#include <Eigen/QR>\endcode</td><td>QR…
23 …tr><td>\link Eigenvalues_Module Eigenvalues \endlink</td><td>\code#include <Eigen/Eigenvalues>\end…
24 …tr class="alt"><td>\link Sparse_modules Sparse \endlink</td><td>\code#include <Eigen/Sparse>\endco…
25 <tr><td></td><td>\code#include <Eigen/Dense>\endcode</td><td>Includes Core, Geometry, LU, Cholesky,…
26 <tr class="alt"><td></td><td>\code#include <Eigen/Eigen>\endcode</td><td>Includes %Dense and %Spars…
53 <tr><th>Matrices</th><th>Arrays</th></tr>
54 <tr><td>\code
66 \endcode</td></tr>
88 <tr><th></th><th>1D objects</th><th>2D objects</th><th>Notes</th></tr>
89 <tr><td>Constructors</td>
107 By default, the coefficients \n are left uninitialized</td></tr>
108 <tr class="alt"><td>Comma initializer</td>
117 \endcode</td><td></td></tr>
119 <tr><td>Comma initializer (bis)</td>
127 </tr>
129 <tr class="alt"><td>Runtime info</td>
140 \endcode</td><td class="note">Inner/Outer* are storage order dependent</td></tr>
141 <tr><td>Compile-time info</td>
146 \endcode</td><td></td></tr>
147 <tr class="alt"><td>Resizing</td>
160 …the new sizes match,<br/>otherwise data are lost<br/><br/>resizing with data preservation</td></tr>
162 <tr><td>Coeff access with \n range checking</td>
170 …/td><td class="note">Range checking is disabled if \n NDEBUG or EIGEN_NO_DEBUG is defined</td></tr>
172 <tr class="alt"><td>Coeff access without \n range checking</td>
179 \endcode</td><td></td></tr>
181 <tr><td>Assignment/copy</td>
185 \endcode</td><td class="note">the destination is automatically resized (if possible)</td></tr>
192 <tr>
196 </tr>
197 <tr style="border-bottom-style: none;">
252 </tr>
254 <tr><td colspan="3">Identity and \link MatrixBase::Unit basis vectors \endlink \matrixworld</td></t…
255 <tr style="border-bottom-style: none;">
285 </tr>
293 <tr>
302 </tr>
303 <tr>
312 </tr>
320 <tr><td>
324 </td></tr>
325 <tr class="alt"><td>
329 </td></tr>
330 <tr><td>
335 </td></tr>
336 <tr class="alt"><td>
341 </td></tr>
342 <tr><td>
347 </td></tr>
348 <tr class="alt"><td>
351 </td></tr>
353 <tr><td>
357 </td></tr>
359 <tr class="alt"><td>
362 vec3 = vec1.cross(vec2);\endcode</td></tr>
369 <tr><th>Matrix API \matrixworld</th><th>Via Array conversions</th></tr>
370 <tr><td>\code
386 \endcode</td></tr>
395 <tr><td>Arithmetic operators</td><td>\code
398 \endcode</td></tr>
399 <tr><td>Comparisons</td><td>\code
403 \endcode</td></tr>
404 <tr><td>Trigo, power, and \n misc functions \n and the STL variants</td><td>\code
422 </td></tr>
438 <tr><td rowspan="3" style="border-right-style:dashed;vertical-align:middle">\code
442 </td> <td>\code mat.minCoeff(); \endcode</td><td>\code 1 \endcode</td></tr>
443 <tr class="alt"><td>\code mat.colwise().minCoeff(); \endcode</td><td>\code 2 3 1 \endcode</td></tr>
444 <tr style="vertical-align:middle"><td>\code mat.rowwise().minCoeff(); \endcode</td><td>\code
448 \endcode</td></tr>
475 <tr>
477 <th>Optimized versions when the size \n is known at compile time</th></tr>
480 <tr><td>\code vec1.head(n)\endcode</td><td>\code vec1.head<n>()\endcode</td><td>the first \c n coef…
481 <tr><td>\code vec1.tail(n)\endcode</td><td>\code vec1.tail<n>()\endcode</td><td>the last \c n coeff…
482 <tr><td>\code vec1.segment(pos,n)\endcode</td><td>\code vec1.segment<n>(pos)\endcode</td>
483 <td>the \c n coeffs in the \n range [\c pos : \c pos + \c n - 1]</td></tr>
484 <tr class="alt"><td colspan="3">
486 Read-write access to sub-matrices:</td></tr>
487 <tr>
492 <td>the \c rows x \c cols sub-matrix \n starting from position (\c i,\c j)</td></tr>
493 <tr><td>\code
503 <td>the \c rows x \c cols sub-matrix \n taken in one of the four corners</td></tr>
504 <tr><td>\code
514 <td>specialized versions of block() \n when the block fit two corners</td></tr>
544 <tr><th>Operation</th><th>Code</th></tr>
545 <tr><td>
548 </td></tr>
549 <tr><td>
553 </td></tr>
554 <tr><td>Access the \link MatrixBase::diagonal() diagonal \endlink and \link MatrixBase::diagonal(In…
562 </tr>
564 <tr><td>Optimized products and inverse</td>
571 </tr>
583 <tr><th>Operation</th><th>Code</th></tr>
584 <tr><td>
591 </td></tr>
592 <tr><td>
596 </td></tr>
597 <tr><td>
601 </td></tr>
602 <tr><td>
607 </td></tr>
608 <tr><td>
617 </td></tr>
630 <tr><th>Operation</th><th>Code</th></tr>
631 <tr><td>
635 </td></tr>
636 <tr><td>
641 </td></tr>
642 <tr><td>
649 </td></tr>
650 <tr><td>
655 </td></tr>
656 <tr><td>
664 </td></tr>
671 <tr><td>
674 </td></tr>
675 <tr><td>
679 </td></tr>
680 <tr><td>Access \link MatrixBase::diagonal() the diagonal and super/sub diagonals of a matrix \endli…
688 </tr>
690 <tr><td>View on a triangular part of a matrix (read/write)</td>
695 \endcode</td></tr>
697 <tr><td>View a triangular part as a symmetric/self-adjoint matrix (read/write)</td>
701 \endcode</td></tr>