Perhaps a better description of what happened and a link to NTSB report:
China Airlines Flight 006 - Wikipedia, the free encyclopedia
Normally, loss of a single engine in cruise flight is a non event. At some weights and altitudes flight may be continued with no change in altitude and little change in airspeed and just a twist on the rudder trim. At higher altitudes and heavier weights a descent must be initiated prior to reaching minimum maneuver speed.
They wasted time on an attempted restart well outside the envelope while airspeed decayed.