Lines Matching full:eigenvalues
34 * \brief Computes eigenvalues and eigenvectors of selfadjoint matrices
42 * transpose. This class computes the eigenvalues and eigenvectors of a
44 * \f$ v \f$ such that \f$ Av = \lambda v \f$. The eigenvalues of a
46 * the eigenvalues on the diagonal, and \f$ V \f$ is a matrix with the
61 * Call the function compute() to compute the eigenvalues and eigenvectors of
64 * the eigenvalues and eigenvectors at construction time. Once the eigenvalue
65 * and eigenvectors are computed, they can be retrieved with the eigenvalues()
74 * \sa MatrixBase::eigenvalues(), class EigenSolver, class ComplexEigenSolver
104 /** \brief Type for vector of eigenvalues as returned by eigenvalues().
137 * eigenvalues and eigenvectors will be computed.
163 * eigenvalues of the matrix \p matrix. The eigenvectors are computed if
191 * This function computes the eigenvalues of \p matrix. The eigenvalues()
230 … * For the 3x3 case, we observed the following worst case relative error regarding the eigenvalues:
260 * to eigenvalue number \f$ k \f$ as returned by eigenvalues(). The
274 * \sa eigenvalues()
280 …sert(m_eigenvectorsOk && "The eigenvectors have not been computed together with the eigenvalues.");
284 /** \brief Returns the eigenvalues of given matrix.
286 * \returns A const reference to the column vector containing the eigenvalues.
288 * \pre The eigenvalues have been computed before.
290 * The eigenvalues are repeated according to their algebraic multiplicity,
291 * so there are as many eigenvalues as rows in the matrix. The eigenvalues
297 * \sa eigenvectors(), MatrixBase::eigenvalues()
300 const RealVectorType& eigenvalues() const
310 * \pre The eigenvalues and eigenvectors of a positive-definite matrix
327 …sert(m_eigenvectorsOk && "The eigenvectors have not been computed together with the eigenvalues.");
335 * \pre The eigenvalues and eigenvectors of a positive-definite matrix
352 …sert(m_eigenvectorsOk && "The eigenvectors have not been computed together with the eigenvalues.");
495 * \param[in,out] diag : On input, the diagonal of the matrix, on output the eigenvalues
555 // Sort eigenvalues and corresponding vectors.
605 // eigenvalues are the roots to this equation, all guaranteed to be
622 // Compute the eigenvalues by solving for the roots of the polynomial.
674 // compute the eigenvalues
682 // All three eigenvalues are numerically the same
710 // If d0 is too small, then the two other eigenvalues are numerically the same,
739 // 2x2 direct eigenvalues decomposition, code from Hauke Heibel
782 // Compute the eigenvalues