pagetranspose

Page-wise transpose

Syntax

Y = pagetranspose(X)

Description

Y = pagetranspose(X) applies the nonconjugate transpose to each page of N-D array X. Each page of the output Y(:,:,i) is found by transposing the corresponding page in X, as in X(:,:,i).'.

Examples

Transpose Pages of N-D Array

Create a 3-D array A, and then use pagetranspose to transpose each page of the array.

r = repelem(1:3,3,1);
A = cat(3,r,2*r,3*r)

A = 
A(:,:,1) =

     1     2     3
     1     2     3
     1     2     3


A(:,:,2) =

     2     4     6
     2     4     6
     2     4     6


A(:,:,3) =

     3     6     9
     3     6     9
     3     6     9

B = pagetranspose(A)

B = 
B(:,:,1) =

     1     1     1
     2     2     2
     3     3     3


B(:,:,2) =

     2     2     2
     4     4     4
     6     6     6


B(:,:,3) =

     3     3     3
     6     6     6
     9     9     9

Input Arguments

X — Input array

multidimensional array

Input array, specified as a multidimensional array.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char | string | struct | cell | categorical | datetime | duration | calendarDuration
Complex Number Support: Yes

More About

Array Pages

Page-wise functions like pagetranspose operate on 2-D matrices that have been arranged into a multidimensional array. For example, with a 3-D array the elements in the third dimension of the array are commonly called pages because they stack on top of each other like pages in a book. Each page is a matrix that gets operated on by the function.

You can also assemble a collection of 2-D matrices into a higher dimensional array, like a 4-D or 5-D array, and in these cases pagetranspose still treats the fundamental unit of the array as a 2-D matrix that gets operated on, such as X(:,:,i,j,k,l).

The cat function is useful to assemble a collection of matrices into a multidimensional array, and the zeros function is useful to preallocate a multidimensional array.

Tips

• The page-wise transpose is equivalent to permuting the first two dimensions of the array with permute(X,[2 1 3:ndims(X)]).

Extended Capabilities

Thread-Based Environment

Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Distributed Arrays

Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).

Version History

Introduced in R2020b