Subtracting a value in a 3D array with all values in another 3D array

Hello, I have 2 three-dimensional arrays, i would like to take the first value in the first array and subtract it with all values in the second array, and then the second value in the first array with all values in the second array, and in each time the smallest value of the subtraction is put in a new array.

Thank you in advance

[Matt J]

What are the sizes of the arrays?

Does "smallest" mean min(x-y) or min(abs(x-y))?

[Sarah Bassiouny]

min(abs(x-y))

Answer 1

[Jan]

A = rand(5,6,7);
B = rand(6,7,8);
D = min(A(:).' - B(:), [], 1);
Result = reshape(D, size(A));

If the intermediate matrix A(:).'-B(:) exhausts the available RAM, use a loop:

Result = zeros(size(A));
for k = 1:numel(A)
    Result(k) = min(A(k) - B, [], 'all');
end

[Sarah Bassiouny]

okay perfect, i got the results of the smallest value, now i need to know the position of that value and display it in the form of an array, so if the smallest value is in position 4 then the value in the results matrix is the difference, and the array is 6.

Thank you in advance

[Jan]

[D, Pos] = min(A(:).' - B(:), [], 1);

determines the position also as linear index. But what do you exactly need as output "position" for 3D arrays?

I do not understand, what this means: "if the smallest value is in position 4 then the value in the results matrix is the difference, and the array is 6." Why 6?