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/* ----------------------------------------------------------------------- *
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/* ----------------------------------------------------------------------- *
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* This file is part of GEL, http://www.imm.dtu.dk/GEL
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* This file is part of GEL, http://www.imm.dtu.dk/GEL
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* Copyright (C) the authors and DTU Informatics
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* Copyright (C) the authors and DTU Informatics
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* For license and list of authors, see ../../doc/intro.pdf
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* For license and list of authors, see ../../doc/intro.pdf
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* ----------------------------------------------------------------------- */
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* ----------------------------------------------------------------------- */
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/** @file eigensolution.h
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/** @file eigensolution.h
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* @brief Compute eigensolutions for symmetric CGLA matrices.
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* @brief Compute eigensolutions for symmetric CGLA matrices.
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*/
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*/
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#ifndef __CGLA_EIGENSOLUTION_H__
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#ifndef __CGLA_EIGENSOLUTION_H__
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#define __CGLA_EIGENSOLUTION_H__
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#define __CGLA_EIGENSOLUTION_H__
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namespace CGLA
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namespace CGLA
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{
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{
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/** Use the power method to obtain an eigensolution.
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/** Use the power method to obtain an eigensolution.
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Given a matrix A, the function returns the number
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Given a matrix A, the function returns the number
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of eigensolutions found, and the eigenvectors are
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of eigensolutions found, and the eigenvectors are
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stored in Q as the rows, and the corresponding
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stored in Q as the rows, and the corresponding
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values are stored in the diagonal of L upon return of
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values are stored in the diagonal of L upon return of
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the function.
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the function.
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The so called power method is used to find the dominant
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The so called power method is used to find the dominant
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eigenvalue, and the method of deflation is used to find
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eigenvalue, and the method of deflation is used to find
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the following values. This restricts this function to
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the following values. This restricts this function to
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work only on symmetric matrices.
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work only on symmetric matrices.
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DO NOT CALL THIS FUNCTION WITH AN UNSYMMETRIC MATRIX.
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DO NOT CALL THIS FUNCTION WITH AN UNSYMMETRIC MATRIX.
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The final argument is the number of solutions to find. If only
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The final argument is the number of solutions to find. If only
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a number of solutions are interesting, use this argument to save
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a number of solutions are interesting, use this argument to save
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cycles.
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cycles.
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*/
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*/
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template <class MT>
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template <class MT>
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int power_eigensolution(const MT& A, MT& Q, MT& L, unsigned int max_sol=1000);
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int power_eigensolution(const MT& A, MT& Q, MT& L, unsigned int max_sol=1000);
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}
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}
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#endif
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#endif
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