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CGAL 6.0 - CGAL and Solvers
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Concept providing functions to extract eigenvectors and eigenvalues from covariance matrices represented by an array a, using symmetric diagonalization.
For example, a matrix of dimension 3 is defined as follows:
| FT | Number type |
| dim | Dimension of the matrices and vectors |
CGAL::Eigen_diagonalize_traits Public Types | |
| typedef std::array< FT, dim > | Vector |
| typedef std::array< FT, dim *dim > | Matrix |
| typedef std::array< FT,(dim *(dim+1)/2)> | Covariance_matrix |
Static Public Member Functions | |
| static bool | diagonalize_selfadjoint_covariance_matrix (const Covariance_matrix &cov, Vector &eigenvalues) |
Fill eigenvalues with the eigenvalues of the covariance matrix represented by cov. | |
| static bool | diagonalize_selfadjoint_covariance_matrix (const Covariance_matrix &cov, Vector &eigenvalues, Matrix &eigenvectors) |
Fill eigenvalues with the eigenvalues and eigenvectors with the eigenvectors of the covariance matrix represented by cov. | |
| static bool | extract_largest_eigenvector_of_covariance_matrix (const Covariance_matrix &cov, Vector &normal) |
Extract the eigenvector associated to the largest eigenvalue of the covariance matrix represented by cov. | |
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static |
Fill eigenvalues with the eigenvalues of the covariance matrix represented by cov.
Eigenvalues are sorted by increasing order.
true if the operation was successful and false otherwise.
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static |
Fill eigenvalues with the eigenvalues and eigenvectors with the eigenvectors of the covariance matrix represented by cov.
Eigenvalues are sorted by increasing order.
true if the operation was successful and false otherwise.
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static |
Extract the eigenvector associated to the largest eigenvalue of the covariance matrix represented by cov.
true if the operation was successful and false otherwise.