orloca (version 5.6)

distsum: Computes distsum function

Description

The objective function and the gradient of the objective function for the min-sum location problem.

Usage

distsum(o, x = 0, y = 0, lp = numeric(0))

Value

distsum returns the objective function of the min-sum location problem, \(\sum_{a_i \in o} w_i d(a_i, (x,y))\), where \(d(a_i, (x,y))\) gives the euclidean or the \(l_p\) distances between \(a_i\) and the point \((x,y)\).

Arguments

o

An object of loca.p class.

x

The x coordinate of the point to be evaluated.

y

The y coordinate of the point to be evaluated.

lp

If given, then \(l_p\) norm will be used instead of the Euclidean norm.

Details

The function zsum is deprecated and will be removed from new versions of the package.

See Also

See also orloca-package and distsummin.

Examples

# A new unweighted loca.p object
loca <- loca.p(x = c(-1, 1, 1, -1), y = c(-1, -1, 1, 1))
# Evaluation of distsum at (0, 0)
distsum(loca)

# Evaluation of distsum at (1, 3)
distsum(loca, 1, 3)
# Compute the objective function at point (3, 4) using lp norm and p = 2.5
distsum(loca, 3, 4, lp=2.5)
# The gradient function at (1,3)
distsumgra(loca, 1, 3)