gmult

Linear transformation of a generalized ellipsoid, including projections to
subspaces.

dplot

algebra

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

gmult function

<dl><dt>A</dt>
<dd>A matrix describing a linear transformation, conforming to the U
component of <code>G</code> for matrix multiplication.</dd>
<dt>G</dt>
<dd>A <code>gell</code> object</dd>
<dt>epsfac</dt>
<dd>Factor of <code>.Machine$double.eps</code> used to distinguish zero
vs. positive singular values</dd></dl>

Arguments

Author

Linear Transformation of a Generalized Ellipsoid — gmult

<dl>

<dt>A</dt>
<dd>A matrix describing a linear transformation, conforming to the U
component of <code>G</code> for matrix multiplication.</dd>


<dt>G</dt>
<dd>A <code>gell</code> object</dd>


<dt>epsfac</dt>
<dd>Factor of <code>.Machine$double.eps</code> used to distinguish zero
vs. positive singular values</dd>

</dl>

gmult: Linear Transformation of a Generalized Ellipsoid

Description

Usage

Value

Arguments

Author

Details

See Also

Examples