class_docstr: Class for the manifold of Hermitian positive definite (HPD) matrices.
  
  Parameters
  ----------
  n : int
      Integer representing the shape of the matrices: n x n.
code: def __init__(self, n, equip=True):
      super().__init__(
          dim=n**2,
          shape=(n, n),
          embedding_space=HermitianMatrices(n),
          equip=equip,
      )
      self.n = n
  
imports: import math
  import geomstats.backend
  from geomstats.geometry.base import ComplexVectorSpaceOpenSet
  from geomstats.geometry.complex_matrices import ComplexMatrices, ComplexMatricesMetric
  from geomstats.geometry.complex_riemannian_metric import ComplexRiemannianMetric
  from geomstats.geometry.general_linear import GeneralLinear
  from geomstats.geometry.hermitian_matrices import HermitianMatrices, expmh, powermh
  from geomstats.geometry.matrices import Matrices
  from geomstats.geometry.pullback_metric import PullbackDiffeoMetric
  from geomstats.geometry.spd_matrices import SymMatrixLog, logmh
  from geomstats.integrator import integrate
  from geomstats.vectorization import repeat_out
label_desc: Use image node_id 1 to create a new HPDMatrices object from inherited base classes: ComplexVectorSpaceOpenSet with example: obj = HPDMatrices(n, equip)