Calculates U and D in the (U, D) representation of a generalized ellipsoid.
This uses the SVD, modified to return U, and D extended with 0's for
singular matrices.

dplot

Represents generalized geometric ellipsoids with the "(U,D)" representation. It allows degenerate
and/or unbounded ellipsoids, together with methods for linear and duality transformations, and for plotting.
Thus ellipsoids are naturally extended to include lines, hyperplanes, points, cylinders, etc.
This permits exploration of a variety to statistical issues that can be visualized using ellipsoids
as discussed by Friendly, Fox & Monette (2013), Elliptical Insights: Understanding Statistical Methods
Through Elliptical Geometry <doi:10.1214/12-STS402>.

Michael Friendly

gellipsoid

Generalized Ellipsoids

UD function

<dl><dt>x</dt>
<dd>A matrix</dd></dl>

Arguments

Author

SVD, modified to return U, and D extended with 0's — UD

<dl>

<dt>x</dt>
<dd>A matrix</dd>

</dl>

UD: SVD, modified to return U, and D extended with 0's

Description

Usage

Value

Arguments

Author

See Also

Examples