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edited Sep 18 2011 at 17:47

I J
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Finding tight smallest ellipsoid that circumscribes over intersection of two ellipsoids that do not have common center

edited title

edited Sep 18 2011 at 17:26

I J
133●7

Finding tight ellipsoid that circumscribes ellipsoid over intersection of two ellipsoids that do not have common center

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edited Sep 18 2011 at 17:13

I J
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Does this already exist in literature? The closest Ive been able to find is circumscribe intersection of two ellipsoids with a common center by W. Kahan .(http://www.cs.berkeley.edu/~wkahan/Ellipint.pdf).

I am looking for a method to circumscribe an ellipsoid over the intersection of two ellipsoids. The ellipsoid do not have a common center.
PS: We can assume that the ellipsoids always intersect and they are full dimensional ellipsoids (not enclosed in a subspace). However, the ellipsoids can be infinite cylinders (if the matrix W for (x-c)^TW(x-c) is not invertible).

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edited Sep 18 2011 at 8:49

I J
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asked Sep 18 2011 at 5:46

I J
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Finding tight smallest ellipsoid that circumscribes over intersection of two ellipsoids that do not have common center

Finding tight ellipsoid that circumscribes ellipsoid over intersection of two ellipsoids that do not have common center

Circumscribe Finding tight ellipsoid that circumscribes ellipsoid over intersection of two ellipsoids that do not have common center

Circumscribe ellipsoid over intersection of two ellipsoids that do not have common center