Lines Matching full:matrix
26 * eigen-decomposition; this is expected to be an instantiation of the Matrix
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
32 * \f$ V \f$ is a matrix with the eigenvectors as its columns, then \f$ A V =
33 * B V D \f$. The matrix \f$ V \f$ is almost always invertible, in which case we
36 * The generalized eigenvalues and eigenvectors of a matrix pair may be complex, even when the
37 * matrices are real. Moreover, the generalized eigenvalue might be infinite if the matrix B is
45 * a given matrix pair. Alternatively, you can use the
90 typedef Matrix<Scalar, ColsAtCompileTime, 1, Options & ~RowMajor, MaxColsAtCompileTime, 1> VectorType;
97 typedef Matrix<ComplexScalar, ColsAtCompileTime, 1, Options & ~RowMajor, MaxColsAtCompileTime, 1> ComplexVectorType;
103 /** \brief Type for matrix of eigenvectors as returned by eigenvectors().
105 * This is a square matrix with entries of type #ComplexScalar.
108 typedef Matrix<ComplexScalar, RowsAtCompileTime, ColsAtCompileTime, Options, MaxRowsAtCompileTime, MaxColsAtCompileTime> EigenvectorsType;
136 /** \brief Constructor; computes the generalized eigendecomposition of given matrix pair.
138 * \param[in] A Square matrix whose eigendecomposition is to be computed.
139 * \param[in] B Square matrix whose eigendecomposition is to be computed.
163 * \returns %Matrix whose columns are the (possibly complex) eigenvectors.
170 * Column \f$ k \f$ of the returned matrix is an eigenvector corresponding
173 * matrix returned by this function is the matrix \f$ V \f$ in the
193 * so there are as many eigenvalues as rows in the matrix. The eigenvalues
226 /** \brief Computes generalized eigendecomposition of given matrix.
228 * \param[in] A Square matrix whose eigendecomposition is to be computed.
229 * \param[in] B Square matrix whose eigendecomposition is to be computed.
235 * This function computes the eigenvalues of the real matrix \p matrix.
240 * The matrix is first reduced to real generalized Schur form using the RealQZ
274 typedef Matrix<Scalar, ColsAtCompileTime, 1, Options & ~RowMajor, MaxColsAtCompileTime, 1> ColumnVectorType;
