The point is outside the ellpsoid.
I've found many way to solve this problem.
DistancePointEllipseEllipsoid
Distance-to-ellipse
But I only found the numerical solution(by algorithm).
Is there have a Closed-form expression(N-Dimension) can solve this problem?
If it does not exist, how to prove it?
2026-04-11 12:16:41.1775909801
Minimize distance from a point to a hyperellipsoid
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