mnorm()

Description:

Normalize a matrix or a multidimensional matrix, during which the center value is 0 and the standard deviation is 1.

Syntax:

mnorm(A, n)

Note:

An external library function where parameter n is the sequence number of level on which the summarization is performed. If n is absent, the desired dimension is the first one whose size is not 1 in matrix A.

Parameters:

A

n

A matrix or a multidimensional matrix

A positive integer

Options:

@s

Handle the normalization using a statistical method where n-1 is the divisor

Return value:

A sequence

Example:

 

A

 

1

[[11,12,13],[21,22,23],[31,32,33]]

 

 

 

2

=mnorm(A1,1)

 

 

 

Normalize matrix A1’s first level, that is, normalization by column

3

=mnorm(A1, 2)

 

 

 

Normalize matrix A1’s second level, that is, normalization by row

4

=mnorm(A1)

 

 

 

Normalize matrix A1’s first level since parameter n is absent

6

=mnorm@s(A1)

 

 

 

Normalization using the statistical method

7

[[[111,112,113],[121,122,123],[131,132,133]],[[211,212,213],[221,222,223],[231,232,233]]]

 

 

 

Define a three-dimension matrix whose two members are 3*3 matrices

8

=mnorm(A6, 1)

 

 

 

Normalize matrix A6’s first level, that is, normalization on the two member matrices in alignment

9

=mnorm(A6, 2)

 

 

 

Normalize matrix A6’s second level, that is, normalization each of the two member matrices by column