Understanding Hessian for multidimensional function

  • #1
SaschaSIGI
3
0
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
 

Attachments

  • hesse2.PNG
    hesse2.PNG
    37.7 KB · Views: 49
  • hesse1.PNG
    hesse1.PNG
    39.1 KB · Views: 52
Physics news on Phys.org
  • #2
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: ?

##\ ##
 

Similar threads

  • Calculus and Beyond Homework Help
Replies
4
Views
785
  • Calculus and Beyond Homework Help
Replies
1
Views
2K
  • Calculus and Beyond Homework Help
Replies
8
Views
6K
Replies
2
Views
3K
  • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
4K
  • Math Proof Training and Practice
3
Replies
102
Views
7K
  • High Energy, Nuclear, Particle Physics
Replies
1
Views
2K
  • High Energy, Nuclear, Particle Physics
Replies
11
Views
2K
  • Linear and Abstract Algebra
Replies
4
Views
5K
  • Set Theory, Logic, Probability, Statistics
Replies
9
Views
2K
Back
Top