# Euclidian projection on ellipsoid and conic (Scripts) 1.0

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• Last update: 6 years ago
• Price: Free |
• Operating system: Linux, Mac OS X, Win All, BSD, Solaris
• Publisher: Bruno Luong (19 other programs)
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## Euclidian projection on ellipsoid and conic (Scripts) Publisher's description

### Find the projection of point P in R^n on the ellipsoid

Find the projection of point P in R^n on the ellipsoid

E = { x = x0 + U*(z.*radii) : |z| = 1 }, where U is orthogonal matrix of the orientation of E, radii are the axis lengths, and x0 is the center.

Or on generalized conic E = { x : x'*A*x + b'*x + c = 0 }.

The projection is the minimization problem:
min | x - P | (or max | x - P|) for x in E.

Method: solve the Euler Lagrange equation with respect to the Lagrange multiplier, which can be written as polynomial equation (from an idea by Roger Stafford)

#### System Requirements:

MATLAB 7.10 (2010a)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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