I Understanding Hessian for multidimensional function

SaschaSIGI
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Hello everybody,

I have a question regarding this visualization of a multidimensional function. Given f(u, v) = e^{−cu} sin(u) sin(v). Im confused why the maximas/minimas have half positive Trace and half negative Trace. I thought because its maxima it only has to be negative. 3D vis

2D visualization
 

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Hi,

You have me wondering what I am looking at. Is the Hessian projected as a color code on a plot of the function ?
Did it occur to you to write down the Hessian for this function ? So: what's the expression for the trace of the Hessian ? (*)

What do you mean with
SaschaSIGI said:
because its maxima it only has to be negative

Aren't there minima between the maxima ?

(by the way: single: minimum, maximum. Plural: minima, maxima)

(*) Notice the similarity with the Laplacian :smile: ?

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