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			2.4 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			71 lines
		
	
	
		
			2.4 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | // 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 leat 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 | ||
|  |   */ | ||
|  | 
 | ||
|  | #include "src/OrderingMethods/Amd.h" | ||
|  | #include "src/OrderingMethods/Ordering.h" | ||
|  | #include "src/Core/util/ReenableStupidWarnings.h" | ||
|  | 
 | ||
|  | #endif // EIGEN_ORDERINGMETHODS_MODULE_H |