mohit
Joined: 10 Jan 2006
Posts: 14
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 16 Apr 2008 21:25 Convex Functions |
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Could anyone comment on the convexity of
f(x,y) = (x^2) * exp(y) ...... 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
http://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.
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