How to draw a second order cone relaxation using matlab?

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Abdelrahman Aldik
Abdelrahman Aldik 2019-10-14
回答： Abhisek Pradhan 2019-10-17
Hello Dears
We know that X.Y=Z^2+Q^2 is a cone (lce cream cone or empty cone). I know how to draw this cone on Matlab. However, I don't know how to draw
X.Y>= Z^2+Q^2 (as we are fiiling the cone). Any help in doing that?
Regards
  2 个评论
Abdelrahman Aldik
Abdelrahman Aldik 2019-10-15
It's line having a cone with a closed lid instead of having a empty cone with an open lid. I'm not sure if I'm clear enough?
Regards

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回答（1 个）

Abhisek Pradhan
Abhisek Pradhan 2019-10-17
patch() function can be used to create a polynomial fitting to the open end of the cone and putting it over it.
Following code shows simple way to generate a cone with closed lid.
N = 10;
r = linspace(1, 0, N);
[X,Y,Z] = cylinder(r, N);
figure(1)
surf(X,Y,Z);
patch(X,Y,Z);

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