pagetranspose - Page-wise transpose - MATLAB (original) (raw)

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Page-wise transpose

Since R2020b

Syntax

Description

Y = pagetranspose([X](#mw%5F93553ba9-1362-4b4a-95e5-eea08c7f8c92)) applies the nonconjugate transpose to each page of N-D array X. Each page of the outputY(:,:,i) is found by transposing the corresponding page inX, as in X(:,:,i).'.

example

Examples

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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,2r,3r)

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 = 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

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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

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

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 the function operates on, such asX(:,:,i,j,k,l).

The cat function is useful for assembling a collection of matrices into a multidimensional array, and the zeros function is useful for preallocating 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

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Usage notes and limitations:

• Code generation does not support cell arrays for this function.

The pagetranspose function fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray (Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced in R2020b