An R class to represent an H-polytope

Source: R/HpolytopeClass.R

An H-polytope is a convex polytope defined by a set of linear inequalities or equivalently a \(d\)-dimensional H-polytope with \(m\) facets is defined by a \(m\times d\) matrix A and a \(m\)-dimensional vector b, s.t.: \(Ax\leq b\).

Details

A

An \(m\times d\) numerical matrix.

b

An \(m\)-dimensional vector b.

volume

The volume of the polytope if it is known, \(NaN\) otherwise by default.

type

A character with default value 'Hpolytope', to declare the representation of the polytope.

Examples

A = matrix(c(-1,0,0,-1,1,1), ncol=2, nrow=3, byrow=TRUE)
b = c(0,0,1)
P = Hpolytope(A = A, b = b)