elliptopefactory | Manifold of n-by-n psd matrices of rank k with unit diagonal elements. |

spectrahedronfactory | Manifold of n-by-n symmetric positive semidefinite matrices of rank k |

symfixedrankYYcomplexfactory | Manifold of n x n complex Hermitian pos. semidefinite matrices of rank k. |

symfixedrankYYfactory | Manifold of n-by-n symmetric positive semidefinite matrices of rank k. |

sympositivedefiniteBWfactory | Manifold of n-by-n symmetric positive definite matrices with the |

sympositivedefinitefactory | Manifold of n-by-n symmetric positive definite matrices with |

sympositivedefinitesimplexcomplexfactory | Manifold of k product of n-by-n Hermitian positive definite matrices |

sympositivedefinitesimplexfactory | with the bi-invariant geometry such that the sum is the identity matrix. |