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Eigen scythe::eigen ( const Matrix<> &  A, bool  vectors = true  ) [inline] Calculates the eigenvalues and eigenvectors of a symmetric matrix. This function returns the eigenvalues and, optionally, eigenvectors of a symmetric matrix A of order . It returns an Eigen object containing the vector of values, in ascending order, and, optionally, a matrix holding the vectors. Note: This function requires BLAS/LAPACK functionality and is only available on machines that provide these libraries. Make sure you enable the SCYTHE_LAPACK preprocessor flag if you wish to use this function. Furthermore, note that this function takes and returns only column-major concrete matrices. Future versions of Scythe will provide a native C++ implementation of this function with support for general matrix templates. Parameters: A The Matrix to be decomposed. vectors This boolean value indicates whether or not to return eigenvectors in addition to eigenvalues. It is set to true by default. Exceptions: scythe_null_error (Level 1) scythe_dimension_error (Level 1) scythe_lapack_internal_error (Level 1) See also: Eigen svd(const Matrix<>& A, int nu, int nv); References scythe::Matrix_base< ORDER, STYLE >::cols(), scythe::Matrix< T_type, ORDER, STYLE >::getArray(), scythe::Matrix_base< ORDER, STYLE >::isNull(), scythe::Matrix_base< ORDER, STYLE >::isSquare(), order(), scythe::Matrix_base< ORDER, STYLE >::rows(), and SCYTHE_CHECK_10.