R: Vector space norm

norm {compositions} | R Documentation

## Vector space norm

### Description

Each of the considered space structures has an associated norm, which is computed for each element by these functions.

### Usage

    ## Default S3 method:
    norm(x,...)
    ## S3 method for class 'acomp'
    norm(x,...)
    ## S3 method for class 'rcomp'
    norm(x,...)
    ## S3 method for class 'aplus'
    norm(x,...)
    ## S3 method for class 'rplus'
    norm(x,...)
    ## S3 method for class 'rmult'
    norm(x,...)
    ## S3 method for class 'rmult'
    norm(x,...)

### Arguments

`x` | a dataset or a single vector of some type
`...` | currently not used, intended to select a different norm rule in the future

### Value

The norms of the given vectors. ATTENTON: `norm.matrix` is a wrapper around base::norm

### Author(s)

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

### See Also

`normalize`

### Examples

    data(SimulatedAmounts)
    tmp <- acomp(sa.lognormals)
    mvar(tmp)
    sum(norm( tmp - mean(tmp) )^2)/(nrow(tmp)-1)

[Package compositions version 2.0-4 Index]