code: def test_eigh(self, xp, dtype):
      if xp == numpy and dtype == numpy.float16:
          # NumPy's eigh does not support float16
          _dtype = "f"
      else:
          _dtype = dtype
      if numpy.dtype(_dtype).kind == "c":
          a = xp.array([[1, 2j, 3], [4j, 5, 6j], [7, 8j, 9]], _dtype)
      else:
          a = xp.array([[1, 0, 3], [0, 5, 0], [7, 0, 9]], _dtype)
      w, v = xp.linalg.eigh(a, UPLO=self.UPLO)
  
      # Changed the verification method to check if Av and vw match, since
      # the eigenvectors of eigh() with CUDA 11.6 are mathematically correct
      # but may not match NumPy.
      A = _get_hermitian(xp, a, self.UPLO)
      if _dtype == numpy.float16:
          tol = 1e-3
      else:
          tol = 1e-5
      testing.assert_allclose(A @ v, v @ xp.diag(w), atol=tol, rtol=tol)
      # Check if v @ vt is an identity matrix
      testing.assert_allclose(
          v @ v.swapaxes(-2, -1).conj(),
          xp.identity(A.shape[-1], _dtype),
          atol=tol,
          rtol=tol,
      )
      if xp == numpy and dtype == numpy.float16:
          w = w.astype("e")
      return w
  
imports: import numpy
  import pytest
  import cupy
  from cupy.cuda import driver
  from cupy.cuda import runtime
  from cupy import testing
label_desc: Use image node_id 1 for calling the TestEigenvalue obj's underlying member method code with example usage: obj.test_eigh(xp, dtype) and returns: w