Re: Greenhouse gas
Why waste perfectly good nukes that can be used for other things when we're producing so many tons of Sulfur Hexafluoride every year (which is thousands of times more potent than CO2 at warming planets), and is already leaking and warming our own atmosphere. Produce / recapture the SF6 here, send it there and warm Mars that way. The SF6 warms Mars to a point where the CO2 caps start melting on their own and speeds up atmosphere production. Win-win!
Also, for the people talking about the magnetic field: you wouldn't lose the atmosphere that fast. If it's lost over a hundred thousand years or more, we can come up with lots more permanent solutions in that time. Still wont keep out the radiation as well as Earth's own magnetics and atmosphere, but a more substantial Mars atmosphere would still block some.