Ok I can't math the thing, but at least it has some sense.
In the poles there's a lot of carbon dioxide ice (a lot). If you can warm it it will sublime and will thick the atmosphere and with that it will capture more heat (and hopefully it will be enough to have a little of liquid water).
But yeah it's a little crazy, unethical and irresponsible. But cheap. We've done worse things in this planet before.