R: Compute L infinity distance between two vectors of numbers.

linfnorm {wavethresh} | R Documentation

## 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)

### Arguments

`u` | first vector of numbers
`v` | second vector of numbers

### Details

Function simply computes the L infinity distance between two vectors and is implemented as

`max(abs(u-v))`

### Value

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

### RELEASE

Version 3.6 Copyright Guy Nason 1995

### Note

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

### Author(s)

G P Nason

### See Also

`l2norm`, `wstCV`, `wstCVl`.

### 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

[Package wavethresh version 4.6.8 Index]