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