Revoking the Talaaq

Q: If the husband issued one or two talaaq-e-baain (irrevocable talaaqs), will it permissible for him to take his wife back whilst she is in iddat?

Q: Is it permissible for the husband to take his wife back whilst she is in iddat?

Q: Although there was no real issue between me and my wife, her daughter had been a problem from day one. However to cut a long story short, My wife stated her reasons why she wanted a divorce and I reluctantly gave her 1 talak with the hope that we could reconcile. I did not want the divorce and still don't. However, she proclaims the marriage is over and now im confused. Can you clarify the situation?