What's the term for recursively summing adjacent elements of an array or matrix

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At the risk of this question being off topic, does anybody know if there's a technical term for the process of summing adjacent elements of an array (or matrix). Like this:

[1,2,3,4,5,6,7,8]

[3,7,11,15]

[10,26]

[36]

In other words, if was going to make a function that did this, what would it be called?

Here's an example with a matrix:

[[1,2,3,4],
 [5,6,7,8],
 [9,10,11,12],
 [13,14,15,16]]

[[14, 22],
 [46, 54]]

[[136]]

Is there a specific term for each iteration of this process?

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