plot level curve for higher dimensional functions

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Sam Alex
Sam Alex 2012-12-11
Hello everyone,
How do we plot a level curve for a function with 4 variables, knowing that I need the level curve to show 2 dimensions only. Example function:
100*(x2 - x1.^2).^2 + (1 - x1).^2 + (1 - x3).^2 + 90*(x4 - x3.^2).^2 + 10.1*((x2 - 1).^2 + (x4 - 1).^2) + 19.8*(x2 - 1).*(x4 - 1);
Thanks
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Jonathan Epperl
Jonathan Epperl 2012-12-11
How is that supposed to work? You are looking for solutions of the equation f(x1,x2,x3,x4) = C for different C. But with your one equation you only reduce the dimension by 1, and a "level curve" would still be a 3-dim object.
Walter Roberson
Walter Roberson 2012-12-11
I was thinking "maybe slice() or isosurface()", but those are for 3D arrays, not for 4D arrays.

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