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linfnorm


Compute L infinity distance between two vectors of numbers.

DESCRIPTION

Compute L infinity distance between two vectors of numbers (maximum absolute difference between two vectors).

USAGE

linfnorm(u,v)

REQUIRED ARGUMENTS

u
first vector of numbers
v
second vector of numbers

OPTIONAL ARGUMENTS

None.

VALUE

A real number which is the L infinity distance between two vectors.

SIDE EFFECTS

None.

DETAILS

Function simply computes the L infinity distance between two vectors and is implemented as
max(abs(u-v))

RELEASE

Version 3.6 Copyright Guy Nason 1995

SEE ALSO

l2norm, wstCV, wstCVl.

BUGS

This function would probably be more accurate if it used the Splus function vecnorm.

EXAMPLES

#
# What is the L infinity norm between the following sets of vectors
#
p <- c(1,2,3,4,5)
q <- c(1,2,3,4,5)
r <- c(2,3,4,5,6)
linfnorm(p,q)
# [1] 0
linfnorm(q,r)
# [1] 1
linfnorm(r,p)
# [1] 1