R: Maximum norm of matrix

maximum.norm {matrixcalc} | R Documentation

## Maximum norm of matrix

### Description

This function returns the max norm of a real matrix.

### Usage

    maximum.norm(x)

### Arguments

`x` | a numeric matrix or vector

### Details

Let {\bf{x}} be an m \times n real matrix. The max norm returned is ≤ft\| {\bf{x}} \right\|_{\max } = \mathop {\max }\limits_{i,j} ≤ft| {x_{i,j} } \right|.

### Value

A numeric value.

### Author(s)

Frederick Novomestky fnovomes@poly.edu

### References

Bellman, R. (1987). Matrix Analysis, Second edition, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics.

Golub, G. H. and C. F. Van Loan (1996). Matrix Computations, Third Edition, The John Hopkins University Press.

Horn, R. A. and C. R. Johnson (1985). Matrix Analysis, Cambridge University Press.

### See Also

`inf.norm`, `one.norm`

### Examples

    A <- matrix( c( 3, 5, 7, 2, 6, 4, 0, 2, 8 ), nrow=3, ncol=3, byrow=TRUE )
    maximum.norm( A )

[Package matrixcalc version 1.0-3 Index]