Apr 16, 2008 #1 M mohit Newbie level 6 Joined Jan 9, 2006 Messages 11 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,373 Convex functions Could anyone comment on the convexity of f(x,y) = (x^2) * exp ...... i.e. x square into e to the power y. I did try to find Hessian of the same and the value I get is : Hessian(x,y) = -2 * x^2 * exp(2y).... which looks <= 0 for all x and y. I assume this should imply f(x,y) is concave. However when I plot this function using a 3D graph plotter it seems convex . try https://www.livephysics.com/ptools/online-3d-function-grapher.php for plotting function. I am sure I am making a simple mistake or something. Any help would be useful.
Convex functions Could anyone comment on the convexity of f(x,y) = (x^2) * exp ...... i.e. x square into e to the power y. I did try to find Hessian of the same and the value I get is : Hessian(x,y) = -2 * x^2 * exp(2y).... which looks <= 0 for all x and y. I assume this should imply f(x,y) is concave. However when I plot this function using a 3D graph plotter it seems convex . try https://www.livephysics.com/ptools/online-3d-function-grapher.php for plotting function. I am sure I am making a simple mistake or something. Any help would be useful.