That is quite a new slant of the traditional Christian view. What do you guys think?
David P.
I would look at the example of forgiveness in action, (incidentally addressed to non believers).
Our Lord says on the cross; 'Forgive them, Father, for they know not what they do.'
What I take from this is that there are several layers of forgiveness. First, I can forgive someone myself, with no input from the other side.
Secondly, they can ask me for forgiveness, then I can consider that and either agree or disagree. This is the example discussed by Luke.
Thirdly, I can ask God to forgive them, either as well as me or even instead of me, if it is too much for me to do. This is not dependent on repentance, or even acknowlegement from the perp.
In the first and second types, I can forgive, but with my fingers crossed that I become saintly in doing this, but that God is watching, and will determine to avenge me and my wrongs, and that this person will actually get their just desserts in time. I think a lot of human level forgiveness has this as an undertone, whether the person is a believer or not.
What is really difficult to do is to forgive the person in the way Our Lord did, and ask God also not to hold this particular sin to their account. Strangely enough he does not forgive them himself; perhaps this was too much even for him.
In the case of Ns this might be really, really hard, but the bonus is that we are forgiven in the same way as we forgive those around us, so if we do manage to say this particular prayer, it is of most benefit to ourselves, spiritually and emotionally. Also, this avoids having any kind of confrontation, or even having to tell the N that they are forgiven, which would most likely result in a response of rage, because of course they have never done anything to be forgiven for.
I suppose the final point is that Our Lord thought ignorance of the degree of sin to be a good enough reason for forgiveness from God. I am not sure I can agree with that, to be honest. I am sure there is a lot of elective blindness in those around us, who do not see the damage they cause because they do not want to see it. That does not per se let them off the hook, to me. Only we can do that. The old saying says; to err is human, to forgive divine. I believe that is true.
A final question might be, can I pray as Our Lord did, for the Ns who have destroyed my life? I think I could, because I recognise that the person who is most hurt by N behaviour is the N him/herself. And having lived a life full of pain and insecurity, I would not want any sins against me to be also held against their account at the last judgement. My own life has not exactly been a success, and I have not fulfilled my potential in any area at all. It has been a waste of a life so far, and no signs of getting any better for the future. But I think there are compensations which we are not aware of in this life, which might be more easily seen in the next, so as far as I can see, there is nothing to forgive.
Maybe I would want God to find the first N-maker in my family and throw the book at him or her. After that, it is an endless stream of pain. What is then left to forgive, after all?

My family would never understand the concept of forgiveness in relation to our childhoods. The family myth is that we were a normal, if poor, family. We had hardworking parents, who would do anything for us, and who sacrificed a lot so that we could have a decent education and standard of living. We went without nothing that we needed, and were rather fortunate than otherwise to have the family we had.
It would take the angelic trumpets to break that particular fantasy to pieces. It is beyond me.
Final point; I think the kyrie is a useful prayer for anyone, whether able to forgive or not. It is in another dimension completely from the whole sin:redemption:forgiveness morass. In English; Lord have mercy, Christ have mercy, Lord have mercy. This is the prayer I use most often. In Greek: Kyrie eleison, Christe eleison, Kyrie eleison.