metric.Euclidean

metric

metric.default

metric.HS

metric.Dens

metric.SO

metric.LogEu

metric.AffInv

metric.Sphere

Implements operations for Riemannian manifolds, e.g., geodesic distance, Riemannian metric, exponential and logarithm maps, etc. Also incorporates random object generator on the manifolds. See Dai, Lin, and Müller (2021) <doi:10.1111/biom.13385>.

Xiongtao Dai

manifold

Operations for Riemannian Manifolds

Zhenhua Lin

metric.Euclidean function

<dl><dt>mfd</dt>
<dd>A manifold object created by <code>createM</code></dd>
<dt>p</dt>
<dd>A vector containing the (single) base point on the manifold.</dd>
<dt>U, V</dt>
<dd>Matrices with n columns each containing a tangent vector. The metric of each pair of n columns is calculated.</dd></dl>

Arguments

<ul>
<li><code>metric(Euclidean)</code>: Method</li>
<li><code>metric(default)</code>: Method</li>
<li><code>metric(HS)</code>: Method</li>
<li><code>metric(Dens)</code>: Method</li>
<li><code>metric(SO)</code>: Method</li>
<li><code>metric(LogEu)</code>: Method</li>
<li><code>metric(AffInv)</code>: Method</li>
<li><code>metric(Sphere)</code>: Method</li>
</ul>

Methods (by class)

Returns the Riemannian metric — metric.Euclidean

<dl>

<dt>mfd</dt>
<dd>A manifold object created by <code>createM</code></dd>


<dt>p</dt>
<dd>A vector containing the (single) base point on the manifold.</dd>


<dt>U, V</dt>
<dd>Matrices with n columns each containing a tangent vector. The metric of each pair of n columns is calculated.</dd>

</dl>

Returns the Riemannian metric

metric.Euclidean: Returns the Riemannian metric

Description

Usage

Value

Arguments

Methods (by class)