In general, if you have a non-linear problem in which you have to maximise or minimise something whilst paying due consideration to constrain equations, it's a problem of non-linear programming.
where represents your constraint equations.
I am not sure that I post at the right palce, because I don't know which topic my problem should belong to. So sorry for that.
Given some variables a1, a2, a3... an, and some constraints based on these variables, like:
a1 + a2 >0,
a3 - a5 >0,
a4 - a3 + a2 <0,
How to get a solution for variables, that maximun the positive number of variables. That means, make as much of
the variables positive. I even don't know which area this topic should belong to. Please help. Thanks in advance!
In your question, you said you had n variables, and gave us three constraint equation which involved only 5 of those n variables. How many variables are there, and are there any more constraint equations?