Using small numbers (~1e-20) in CVX

[Michal_Adamaszek]

Here is something about rescaling I wrote in another thread.

How would you enter the following expression into cvx?f（x,y)=x^3/y^2 Functions like pow don't seem to work as a whole for cvx to recognize convexity

There are two energy drinks. One gives 10^{-18} calories per litre, the other 1 calorie per litre. You want to find some combination of them which maximizes the total number of calories 10^{-18}x+y, subject to some other constraints, where x,y denote how many litres of each drink you want to intake. There are two possibilities. Either you expect x,y to be of reasonable magnitude for a human being to drink, say somewhere about 1 litre. In that case x completely doesn’t matter, including it is w…