def METHOD_NAME(identity_operator):
  return linear_operator_identity.LinearOperatorScaledIdentity(
      num_rows=identity_operator._num_rows,  # pylint: disable=protected-access
      multiplier=math_ops.sqrt(identity_operator.multiplier),
      is_non_singular=True,
      is_self_adjoint=True,
      is_positive_definite=True,
      is_square=True)