In reply to Chris Craggs:
Pierre Beghin - Annapurna; anchor failed - a cam, I think. Quite possibly a factor when retreating off a big face is that your rack may well not be large enough to leave more than one piece at each anchor - otherwise you may be marooned with no gear left before you reach the bottom - forcing you to trust anchors that in other circumstances you would back up. Obviously there are steps that can be taken to reduce the risk in this situation - last one down removes the back-up, rope clipped through intermediate gear (removed by last one down) with ends tied to next belay - but such measures are easily overlooked when fatigued, and may well be impractical for other reasons.
One of the first ascent team, Ed Bernd I think, descending West Face of Huntingdon. Can't remember exactly but I think he came off the end of the rope; he was first down, the others heard a shout, he was gone when the next one arrived. A young and probably relatively inexperienced team (which included Dave Roberts) who pulled off a major Alaskan ascent.
Someone died two or three years ago descending from the FA of a wall, probably either Baffin or Greenland; American climber I think. Came off the unattached bottom end of a fixed rope low on the route.
I suppose Harlin's death on the Eiger could just as easily have been an abseiling accident; fixed rope failure.
A couple of near misses:-
Coral Bowman - Naked Edge; rope somehow became detached from anchor - saved herself by grabbing adjacent hanging 9mm rope (I saw the bandages!)
Mark Wilford (or possibly Greg Child, but I think Wilford) - Trango; retreating off a big wall in a storm, mentally and physically extended several days out, unclipped cowstail from anchor at hanging belay to lower bodyweight onto abseil device only to realise just in time that it wasn't clipped to harness, fortunately strong enough to do necessary one-armer and general flailing to get re-attached while wearing alpine gear, big boots and gloves on vertical, icy granite!
In some of these incidents a prussik back-up could have made all the difference, in others not. I assume Madsen would have been using a karabiner brake on a single rope, so it's fairly easy to understand how the end knot could have passed through it.