compute_distance_matrix {gor}

p-distance matrix computation

Description

It computes the distance matrix of a set of n two-dimensional points given by a n\times 2 matrix using the distance-p with p=2 by default.

Usage

compute_distance_matrix(z, p = 2)

Arguments

z

A n\times 2 matrix with the two-dimensional points

p

The p parameter of the distance-p. It defaults to 2.

Details

Given a set of n points \{z_j\}_{j=1,...,n}, the distance matrix is a n\times n symmetric matrix with matrix elements

d_{ij} = d(z_i,z_j)

computed using the distance-p given by

d_p(x,y) = \left(\sum_i (x_i-y_i)^p\right)^{\frac{1}{p}}

.

Value

The distance-p of the points.

Author(s)

Cesar Asensio

See Also

compute_p_distance computes the distance-p, compute_tour_distance computes tour distances. A distance matrix can also be computed using dist.

Examples

set.seed(1)
n <- 25
z <- cbind(runif(n,min=1,max=10),runif(n,min=1,max=10))
d <- compute_distance_matrix(z)