Thank you for your reply. I was not aware of this RLC device and the limitation for it appear to be very similar. With regard to it's application to solving second order equations , this is too complicated for me a present ! But, I will try and understand the background and maths to this method. This is very intersting further reading for me.

Presumably, if this accuracy limitation did not exist, there would be many existing ways to perform this factorisation already. Would you be able to comment on whether my theoretical proposed ray method would be able to perform factorisation if the accuracy limitation did not exist ?

Thanks again, Zander