Group Abstract Group Abstract

Message Boards Message Boards

0
|
2.4K Views
|
4 Replies
|
0 Total Likes
View groups...
Share
Share this post:

Boundary generating curve

Kamil Gacek
Posted 4 years ago

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!
POSTED BY: Kamil Gacek
4 Replies
Sort By:
Kamil Gacek
Kamil Gacek
Posted 4 years ago

Please find attached whole pdf and take a look at page 16.

Attachments:
Kippenhahn_submit2.pdf
POSTED BY: Kamil Gacek

I don't know what the book is talking about. The equation gives an oval that is larger than the one in fig. 1.
POSTED BY: Gianluca Gorni
Kamil Gacek
Kamil Gacek
Posted 4 years ago

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)

Attachment

Attachments:
ss.png
POSTED BY: Kamil Gacek

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}]
POSTED BY: Gianluca Gorni
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard