class_docstr: Class for affine connections.
  
  Parameters
  ----------
  space : Manifold object
      M in the tuple (M, g).
class_docstr_tok: ["Class","for","affine","connections",".","Parameters","--","--","--","--","--","space",":","Manifold","object","M","in","the","tuple","(","M",",","g",")","."]
docstr: Solve geodesic initial value problem.
  
  Compute the parameterized function for the geodesic starting at
  initial_point with initial velocity given by initial_tangent_vec.
  
  Parameters
  ----------
  initial_point : array-like, shape=[..., dim]
      Initial point.
  
  initial_tangent_vec : array-like, shape=[..., dim]
      Tangent vector at initial point.
  
  Returns
  -------
  path : function
      Parameterized function for the geodesic curve starting at
      initial_point with velocity initial_tangent_vec.
docstr_tok: ["Solve","geodesic","initial","value","problem",".","Compute","the","parameterized","function","for","the","geodesic","starting","at","initial_point","with","initial","velocity","given","by","initial_tangent_vec",".","Parameters","--","--","--","--","--","initial_point",":","array-like",",","shape=","[","...",",","dim","]","Initial","point",".","initial_tangent_vec",":","array-like",",","shape=","[","...",",","dim","]","Tangent","vector","at","initial","point",".","Returns","--","--","--","-","path",":","function","Parameterized","function","for","the","geodesic","curve","starting","at","initial_point","with","velocity","initial_tangent_vec","."]
code: def _geodesic_ivp(self, initial_point, initial_tangent_vec):
      """Solve geodesic initial value problem.
  
      Compute the parameterized function for the geodesic starting at
      initial_point with initial velocity given by initial_tangent_vec.
  
      Parameters
      ----------
      initial_point : array-like, shape=[..., dim]
          Initial point.
  
      initial_tangent_vec : array-like, shape=[..., dim]
          Tangent vector at initial point.
  
      Returns
      -------
      path : function
          Parameterized function for the geodesic curve starting at
          initial_point with velocity initial_tangent_vec.
      """
      if _check_exp_solver(self, raise_=False) and hasattr(
          self.exp_solver, "geodesic_ivp"
      ):
          return self.exp_solver.geodesic_ivp(
              self._space, initial_tangent_vec, initial_point
          )
  
      return self._geodesic_from_exp(initial_point, initial_tangent_vec)
  
imports: from abc import ABC
  import geomstats.backend
  import geomstats.errors
label_desc: Use image node_id 16 for calling the Connection obj's underlying member method code with example usage: obj._geodesic_ivp(initial_point, initial_tangent_vec) and returns: self, self