gen_cross

This function generates the \(d\)-dimensional cross polytope in H- or V-representation.

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. Methods implemented in 'volesti' are described
in A. Chalkis and V. Fisikopoulos (2022) <doi:10.32614/RJ-2021-077> and references therein.

Vissarion Fisikopoulos

volesti

Volume Approximation and Sampling of Convex Polytopes

Apostolos Chalkis

gen_cross function

<dl><dt>dimension</dt>
<dd>The dimension of the cross polytope.</dd>
<dt>representation</dt>
<dd>A string to declare the representation. It has to be <code>'H'</code> for H-representation or <code>'V'</code> for V-representation. Default valus is 'H'.</dd></dl>

Arguments

Generator function for cross polytopes — gen_cross

<dl>

<dt>dimension</dt>
<dd>The dimension of the cross polytope.</dd>


<dt>representation</dt>
<dd>A string to declare the representation. It has to be <code>'H'</code> for H-representation or <code>'V'</code> for V-representation. Default valus is 'H'.</dd>

</dl>

gen_cross: Generator function for cross polytopes

Description

Usage

Value

Arguments

Examples