Cross Reference: /external/eigen/Eigen/src/Eigenvalues/GeneralizedEigenSolver.h

Lines Matching defs:eigenvalues
23   * \brief Computes the generalized eigenvalues and eigenvectors of a pair of general matrices
29   * The generalized eigenvalues and eigenvectors of a matrix pair \f$ A \f$ and \f$ B \f$ are scalars
31   * \f$ D \f$ is a diagonal matrix with the eigenvalues on the diagonal, and
36   * The generalized eigenvalues and eigenvectors of a matrix pair may be complex, even when the
38   * singular. To workaround this difficulty, the eigenvalues are provided as a pair of complex \f$ \alpha \f$
44   * Call the function compute() to compute the generalized eigenvalues and eigenvectors of
47   * eigenvalues and eigenvectors at construction time. Once the eigenvalue and
48   * eigenvectors are computed, they can be retrieved with the eigenvalues() and
55   * \sa MatrixBase::eigenvalues(), class ComplexEigenSolver, class SelfAdjointEigenSolver
85     /** \brief Type for vector of real scalar values eigenvalues as returned by betas().
92     /** \brief Type for vector of complex scalar values eigenvalues as returned by betas().
99     /** \brief Expression type for the eigenvalues as returned by eigenvalues().
141       *    eigenvalues are computed; if false, only the eigenvalues are computed.
143       * This constructor calls compute() to compute the generalized eigenvalues
171       * to eigenvalue number \f$ k \f$ as returned by eigenvalues().  The
176       * \sa eigenvalues()
180     /** \brief Returns an expression of the computed generalized eigenvalues.
182       * \returns An expression of the column vector containing the eigenvalues.
192       * The eigenvalues are repeated according to their algebraic multiplicity,
193       * so there are as many eigenvalues as rows in the matrix. The eigenvalues 
198     EigenvalueType eigenvalues() const
206       * This vector permits to reconstruct the j-th eigenvalues as alphas(i)/betas(j).
208       * \sa betas(), eigenvalues() */
217       * This vector permits to reconstruct the j-th eigenvalues as alphas(i)/betas(j).
219       * \sa alphas(), eigenvalues() */
231       *    eigenvalues are computed; if false, only the eigenvalues are
235       * This function computes the eigenvalues of the real matrix \p matrix.
236       * The eigenvalues() function can be used to retrieve them.  If 
241       * class. The generalized Schur decomposition is then used to compute the eigenvalues
282 //  eigen_assert(m_eigenvectorsOk && "The eigenvectors have not been computed together with the eigenvalues.");
307     // Compute eigenvalues from matS