Forgiving the Unrepentant?

Having spoken about repentance and forgiveness before, there still remains the question: what do we do within ourselves about those who have both done us wrong, and have not admitted they did wrong, let alone repented of it? I believe the Bible provides good instruction on this as well, but modern people, especially Christians, get this muddled among all the scriptures about the topic. I'll be trying to clear up some of the disputes and talk of what we should do in such difficult situations in today's episode.