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16td>\link Core_Module Core \endlink</td><td>\code#include <Eigen/Core>\endcode</td><td>Matrix and A…
17td>\link Geometry_Module Geometry \endlink</td><td>\code#include <Eigen/Geometry>\endcode</td><td>…
18td>\link LU_Module LU \endlink</td><td>\code#include <Eigen/LU>\endcode</td><td>Inverse, determina…
19 …><td>\link Cholesky_Module Cholesky \endlink</td><td>\code#include <Eigen/Cholesky>\endcode</td><t…
20td>\link Householder_Module Householder \endlink</td><td>\code#include <Eigen/Householder>\endcode…
21 …<td>\link SVD_Module SVD \endlink</td><td>\code#include <Eigen/SVD>\endcode</td><td>SVD decomposit…
22td>\link QR_Module QR \endlink</td><td>\code#include <Eigen/QR>\endcode</td><td>QR decomposition w…
23td>\link Eigenvalues_Module Eigenvalues \endlink</td><td>\code#include <Eigen/Eigenvalues>\endcode…
24td>\link Sparse_Module Sparse \endlink</td><td>\code#include <Eigen/Sparse>\endcode</td><td>%Spars…
25 …="alt"><td></td><td>\code#include <Eigen/Dense>\endcode</td><td>Includes Core, Geometry, LU, Chole…
26 … ><td></td><td>\code#include <Eigen/Eigen>\endcode</td><td>Includes %Dense and %Sparse h…
54 <tr><td>\code
60 \endcode</td><td>\code
66 \endcode</td></tr>
89 <tr><td>Constructors</td>
90 <td>\code
98 \endcode</td><td>\code
106 \endcode</td><td class="note">
107 By default, the coefficients \n are left uninitialized</td></tr>
108 <tr class="alt"><td>Comma initializer</td>
109 <td>\code
113 \endcode</td><td>\code
117 \endcode</td><td></td></tr>
119 <tr><td>Comma initializer (bis)</td>
120 <td colspan="2">
122 </td>
123 <td>
126 </td>
129 <tr class="alt"><td>Runtime info</td>
130 <td>\code
135 \endcode</td><td>\code
140 \endcode</td><td class="note">Inner/Outer* are storage order dependent</td></tr>
141 <tr><td>Compile-time info</td>
142 <td colspan="2">\code
146 \endcode</td><td></td></tr>
147 <tr class="alt"><td>Resizing</td>
148 <td>\code
154 \endcode</td><td>\code
160 \endcode</td><td class="note">no-op if the new sizes match,<br/>otherwise data are lost<br/><br/>re…
162 <tr><td>Coeff access with \n range checking</td>
163 <td>\code
168 \endcode</td><td>\code
170 \endcode</td><td class="note">Range checking is disabled if \n NDEBUG or EIGEN_NO_DEBUG is defined<…
172 <tr class="alt"><td>Coeff access without \n range checking</td>
173 <td>\code
176 \endcode</td><td>\code
179 \endcode</td><td></td></tr>
181 <tr><td>Assignment/copy</td>
182 <td colspan="2">\code
185 \endcode</td><td class="note">the destination is automatically resized (if possible)</td></tr>
198 <td>
215 </td>
216 <td>
233 </td>
234 <td>
251 </td>
254 <tr><td colspan="3">Identity and \link MatrixBase::Unit basis vectors \endlink \matrixworld</td></t…
256 <td>
265 </td>
266 <td>
275 </td>
276 <td>\code
284 </td>
294 <td>Contiguous \n memory</td>
295 <td>\code
301 \endcode</td>
304 <td>Typical usage \n of strides</td>
305 <td>\code
311 \endcode</td>
320 <tr><td>
321 add \n subtract</td><td>\code
324 </td></tr>
325 <tr class="alt"><td>
326 scalar product</td><td>\code
329 </td></tr>
330 <tr><td>
331 matrix/vector \n products \matrixworld</td><td>\code
335 </td></tr>
336 <tr class="alt"><td>
337 transposition \n adjoint \matrixworld</td><td>\code
341 </td></tr>
342 <tr><td>
343 \link MatrixBase::dot dot \endlink product \n inner product \matrixworld</td><td>\code
347 </td></tr>
348 <tr class="alt"><td>
349 outer product \matrixworld</td><td>\code
351 </td></tr>
353 <tr><td>
354 …) norm \endlink \n \link MatrixBase::normalized() normalization \endlink \matrixworld</td><td>\code
357 </td></tr>
359 <tr class="alt"><td>
360 \link MatrixBase::cross() cross product \endlink \matrixworld</td><td>\code
362 vec3 = vec1.cross(vec2);\endcode</td></tr>
373 <tr><td>Arithmetic operators</td><td>\code
376 \endcode</td></tr>
377 <tr><td>Comparisons</td><td>\code
382 \endcode</td></tr>
383 <tr><td>Trigo, power, and \n misc functions \n and the STL-like variants</td><td>\code
416 </td></tr>
424 <tr><td>\code
429 </td><td>\code
434 </td><td>
440 </td></tr>
446 <tr><td>\code
458 </td><td>\code
469 \endcode</td></tr>
496 <tr><td rowspan="3" style="border-right-style:dashed;vertical-align:middle">\code
500 </td> <td>\code mat.minCoeff(); \endcode</td><td>\code 1 \endcode</td></tr>
501 <tr class="alt"><td>\code mat.colwise().minCoeff(); \endcode</td><td>\code 2 3 1 \endcode</td></tr>
502 <tr style="vertical-align:middle"><td>\code mat.rowwise().minCoeff(); \endcode</td><td>\code
506 \endcode</td></tr>
538 <tr><td>\code vec1.head(n)\endcode</td><td>\code vec1.head<n>()\endcode</td><td>the first \c n coef…
539 <tr><td>\code vec1.tail(n)\endcode</td><td>\code vec1.tail<n>()\endcode</td><td>the last \c n coeff…
540 <tr><td>\code vec1.segment(pos,n)\endcode</td><td>\code vec1.segment<n>(pos)\endcode</td>
541 <td>the \c n coeffs in the \n range [\c pos : \c pos + \c n - 1]</td></tr>
542 <tr class="alt"><td colspan="3">
544 Read-write access to sub-matrices:</td></tr>
546 <td>\code mat1.block(i,j,rows,cols)\endcode
547 \link DenseBase::block(Index,Index,Index,Index) (more) \endlink</td>
548 <td>\code mat1.block<rows,cols>(i,j)\endcode
549 \link DenseBase::block(Index,Index) (more) \endlink</td>
550 <td>the \c rows x \c cols sub-matrix \n starting from position (\c i,\c j)</td></tr>
551 <tr><td>\code
556 <td>\code
561 <td>the \c rows x \c cols sub-matrix \n taken in one of the four corners</td></tr>
562 <tr><td>\code
567 <td>\code
572 <td>specialized versions of block() \n when the block fit two corners</td></tr>
603 <tr><td>
604 view a vector \link MatrixBase::asDiagonal() as a diagonal matrix \endlink \n </td><td>\code
606 </td></tr>
607 <tr><td>
608 Declare a diagonal matrix</td><td>\code
611 </td></tr>
612td>Access the \link MatrixBase::diagonal() diagonal \endlink and \link MatrixBase::diagonal(Index)…
613 <td>\code
619 \endcode</td>
622 <tr><td>Optimized products and inverse</td>
623 <td>\code
628 \endcode</td>
642 <tr><td>
645 </td><td>\code
649 </td></tr>
650 <tr><td>
652 </td><td>\code
654 </td></tr>
655 <tr><td>
657 </td><td>\code
659 </td></tr>
660 <tr><td>
662 </td><td>\code
665 </td></tr>
666 <tr><td>
671 </td><td>\n \code
675 </td></tr>
689 <tr><td>
691 </td><td>\code
693 </td></tr>
694 <tr><td>
696 </td><td>\code
699 </td></tr>
700 <tr><td>
704 </td><td>\n \code
707 </td></tr>
708 <tr><td>
710 </td><td>\code
713 </td></tr>
714 <tr><td>
716 </td><td>\code
722 </td></tr>
729 <tr><td>
730 \link MatrixBase::asDiagonal() make a diagonal matrix \endlink \n from a vector </td><td>\code
732 </td></tr>
733 <tr><td>
734 Declare a diagonal matrix</td><td>\code
737 </td></tr>
738 <tr><td>Access \link MatrixBase::diagonal() the diagonal and super/sub diagonals of a matrix \endli…
739 <td>\code
745 \endcode</td>
748 <tr><td>View on a triangular part of a matrix (read/write)</td>
749 <td>\code
753 \endcode</td></tr>
755 <tr><td>View a triangular part as a symmetric/self-adjoint matrix (read/write)</td>
756 <td>\code
759 \endcode</td></tr>