Hi everyone!
Is it possible to draw a associated curve of matrix in Mathematica? Let’s say I have matrix A which after decomposition and calculating generating curve we have equation:
1/2Sqrt[2]uv^2-2v^2-2*u^2+4=0
generating curve is F(w,u,v)=0 but we take w=1.
Could you please help me draw it? I find it really challenging 
I know that the graph should look like oval with little ‘triangle’ inside, but I have no idea how to draw in projective space…
Thank you!
Is this what you want?
ContourPlot[1/2 Sqrt[2] u v^2 - 2 v^2 - 2*u^2 + 4 == 0,
{u, -2, 2}, {v, -2, 2}]
Thank you for your reply. I think there is one thing missing - ‘triangle’ inside. Please find attached screenshot from Kippenhahn’ article (please ignore Fig.2 - it’s related to another example)
I don’t know what the book is talking about. The equation gives an oval that is larger than the one in fig. 1.
Please find attached whole pdf and take a look at page 16.
Kippenhahn_submit2.pdf (422 KB)