Is the set X={(x1,x2)|x22>=4x1} convex or not ? How to prove it mathematically ?
This is a problem in Linear Programming Problem (LPP). Please help
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Is the set X={(x1,x2)|x22>=4x1} convex or not ? How to prove it mathematically ?
This is a problem in Linear Programming Problem (LPP). Please help
Hey Suvadip.
Is it possible to use the Hessian for this system?
It seems to me the simplest way is just to graph it. Using x= x1, y= x2, the graph of y^2= 4x is a parabola and the set {(x, y)| y^2>= x} is the set of points outside the parabola. That would lead me to look at the points (1, 2) and (1, -2). 2^2= 4> 1 and (-2)^2> 1 so both (1, 2) and (1, -2) is in the set. But (1, 0) is NOT.