TML (version 2.3.0)

max_ins.ball: Calculate the center point and radius of the maximum inscribed ball for a tropical simplex

Description

This function calculates the center point and radius of the maximum inscribed ball for a max- or min-plus tropical simplex

Usage

max_ins.ball(A, tadd = max)

Value

list containing the radius and center point of a maximum inscribed ball

Arguments

A

matrix of points defining a tropical polytope; rows are the points

tadd

function; max indicates max-plus addition, min indicates min-plus addition. Defaults to max

Author

David Barnhill

References

Barnhill, David, Ruriko Yoshida and Keiji Miura (2023). Maximum Inscribed and Minimum Enclosing Tropical Balls of Tropical Polytopes and Applications to Volume Estimation and Uniform Sampling.

Examples

P<-matrix(c(0,0,0,0,2,5,0,3,1),3,3,TRUE)
max_ins.ball(P)
max_ins.ball(P,tadd=min)