QR UPDATE EXAMPLE COMPLEX
    2     4
  (0.9501, 0.9355)   (0.8913, 0.0579)   (0.8214, 0.1389)   (0.9218, 0.2722)
      (0,0)          (0.7621, 0.3529)   (0.4447, 0.2028)   (0.7382, 0.1988)
      (0,0)             (0,0)           (0.6154, 0.1987)   (0.1763, 0.0153)
      (0,0)             (0,0)                (0,0)         (0.4057, 0.7468)
  (0.4451, 0.8381)   (0.4660, 0.6813)   (0.8462, 0.8318)   (0.2026, 0.7095)
  (0.9318, 0.0196)   (0.4186, 0.3795)   (0.5252, 0.5028)   (0.6721, 0.4289)