In reply to nation1:
It's easy enough (but expensive) - take the lift to Klein Matterhorn and walk down the other side. You can use the Testa Grigia-Plan Maison lift downhill to save time. Then walk up to Carrel hut. You can make it there in a day from Zermatt. More details in Martin Moran's 4000m Peaks book. With more time to spare get the lift to Trockenersteg and walk the rest!