| // This file is part of Eigen, a lightweight C++ template library | 
 | // for linear algebra. | 
 | // | 
 | // This Source Code Form is subject to the terms of the Mozilla | 
 | // Public License v. 2.0. If a copy of the MPL was not distributed | 
 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. | 
 |  | 
 | #ifndef EIGEN_ORDERINGMETHODS_MODULE_H | 
 | #define EIGEN_ORDERINGMETHODS_MODULE_H | 
 |  | 
 | #include "SparseCore" | 
 |  | 
 | #include "src/Core/util/DisableStupidWarnings.h" | 
 |  | 
 | /** | 
 |  * \defgroup OrderingMethods_Module OrderingMethods module | 
 |  * | 
 |  * This module is currently for internal use only | 
 |  * | 
 |  * It defines various built-in and external ordering methods for sparse matrices. | 
 |  * They are typically used to reduce the number of elements during | 
 |  * the sparse matrix decomposition (LLT, LU, QR). | 
 |  * Precisely, in a preprocessing step, a permutation matrix P is computed using | 
 |  * those ordering methods and applied to the columns of the matrix. | 
 |  * Using for instance the sparse Cholesky decomposition, it is expected that | 
 |  * the nonzeros elements in LLT(A*P) will be much smaller than that in LLT(A). | 
 |  * | 
 |  * | 
 |  * Usage : | 
 |  * \code | 
 |  * #include <Eigen/OrderingMethods> | 
 |  * \endcode | 
 |  * | 
 |  * A simple usage is as a template parameter in the sparse decomposition classes : | 
 |  * | 
 |  * \code | 
 |  * SparseLU<MatrixType, COLAMDOrdering<int> > solver; | 
 |  * \endcode | 
 |  * | 
 |  * \code | 
 |  * SparseQR<MatrixType, COLAMDOrdering<int> > solver; | 
 |  * \endcode | 
 |  * | 
 |  * It is possible as well to call directly a particular ordering method for your own purpose, | 
 |  * \code | 
 |  * AMDOrdering<int> ordering; | 
 |  * PermutationMatrix<Dynamic, Dynamic, int> perm; | 
 |  * SparseMatrix<double> A; | 
 |  * //Fill the matrix ... | 
 |  * | 
 |  * ordering(A, perm); // Call AMD | 
 |  * \endcode | 
 |  * | 
 |  * \note Some of these methods (like AMD or METIS), need the sparsity pattern | 
 |  * of the input matrix to be symmetric. When the matrix is structurally unsymmetric, | 
 |  * Eigen computes internally the pattern of \f$A^T*A\f$ before calling the method. | 
 |  * If your matrix is already symmetric (at least in structure), you can avoid that | 
 |  * by calling the method with a SelfAdjointView type. | 
 |  * | 
 |  * \code | 
 |  *  // Call the ordering on the pattern of the lower triangular matrix A | 
 |  * ordering(A.selfadjointView<Lower>(), perm); | 
 |  * \endcode | 
 |  */ | 
 |  | 
 | // IWYU pragma: begin_exports | 
 | #include "src/OrderingMethods/Amd.h" | 
 | #include "src/OrderingMethods/Ordering.h" | 
 | // IWYU pragma: end_exports | 
 |  | 
 | #include "src/Core/util/ReenableStupidWarnings.h" | 
 |  | 
 | #endif  // EIGEN_ORDERINGMETHODS_MODULE_H |