Inthispaper,thesubspacefittingmodelsfordirection-of-arrival(DOA)estimationisanalyzed,aneffectivealgorithmicapproachisgiven.Astheinitializationvalueissocriticaltotheglobalconvergence,thecontinuationtheoryisalsousedtodevelopanewframeworkwhichsolvestheinitializationproblempowerfully.Somenumericalevidencewillbegiventoshowthattheperformanceofthenewalgorithmisverypromising.