code: def test_simple_complex(self):
      m = array(
          [[3 + 1j, 3 + 4j, 5], [0, 2 + 2j, 2 + 7j], [0, 0, 7 + 4j]]
      )
      a = dot(transpose(conjugate(m)), m)
      c = cholesky(a)
      a1 = dot(transpose(conjugate(c)), c)
      assert_array_almost_equal(a, a1)
      c = transpose(c)
      a = dot(c, transpose(conjugate(c)))
      assert_array_almost_equal(cholesky(a, lower=1), c)
  
imports: from numpy.testing import assert_array_almost_equal, assert_array_equal
  from pytest import raises
  from numpy import array, transpose, dot, conjugate, zeros_like, empty
  from numpy.random import random
  from scipy.linalg import cholesky, cholesky_banded, cho_solve_banded, cho_factor, cho_solve
  from scipy.linalg._testutils import assert_no_overwrite
label_desc: Use image node_id 3 for calling the TestCholesky obj's underlying member method code with example usage: obj.test_simple_complex() without return types