Zonotope

A zonotope is a convex polytope defined by the Minkowski sum of \(m\) \(d\)-dimensional segments.

Provides an R interface for 'volesti' C++ package. 'volesti' computes estimations of volume
of polytopes given by (i) a set of points, (ii) linear inequalities or (iii) Minkowski sum of segments
(a.k.a. zonotopes). There are three algorithms for volume estimation as well as algorithms
for sampling, rounding and rotating polytopes. Moreover, 'volesti' provides algorithms for
estimating copulas useful in computational finance.

Vissarion Fisikopoulos

volesti

Volume Approximation and Sampling of Convex Polytopes

Zonotope function

<ul>
<li><code>G</code> A \(m\times d\) numerical matrix that contains the segments (or generators) row-wise</li>
<li><code>type</code> An integer that declares the representation of the polytope. For zonotopes the default value is 3.</li>
<li><code>dimension</code> The dimension of the polytope.</li>
<li><code>volume</code> The volume of the polytope, if it is known.</li>
</ul>

Zonotope: An `R` class to represent zonotopes.

Description

Arguments

Fields