Mathematics, Optimization, Data Science, Machine Learning, Duality.
by y꜀: even though we can’t divide by y꜀ anymore, it being zero allows us to simplify the inequalities of statement 2 of Farkas variant into inequalities involving only yₐ. Next, instead of constructing a y’ = yₐ/y꜀ as in the cases when y꜀ > 0, we let y’ = y* + yₐ. This allows us to transform the