We just purchased our house fall before last ....
Many, many years ago some friends had their pool turn horribly green and they did just about everything to clear it up. Sounds like you. Well, somewhere along the line someone told them it was iron in the water. They went to some store and bought some kind of "magnetic" chemical that took the iron out of the pool via filtration. It was great after that, and too much wasted money. Hope your issue has been solved by now. But, I just wanted to throw this in.