I have a Simplex problem $ A y \ge b $, where some of the elements of $b$ are positive and some are negative, and thus setting $y = 0$ does not give a basic feasible solution (BFS). By previous work, however, I happen to know a specific BFS. How do I then set up the table to start at this BFS instead of the standard $y=0$?
Please note: I don't want to use phase one of the simplex method because I want to use a specific BFS that I already know, and phase one finds me a BFS.
I assume that I have to do some row operations, but I can't work out what ones I would need to do. (Also, my specific case is reasonably large so I don't want to have to do it by hand but want some method that I can implement!)
(Sorry for the poor tagging - I'm not allowed to use better tags until I have a higher reputation! Also, I realise that there is a similar question posted elsewhere, but that focuses on a different point: I am interested in how to set up the table initially, which is not the focus of the other post.)
Thanks in advance! :)