Array Cascade Addition calculation

I have several arrays and what I need to do is create a loop that calculates the values of the adition of each value of an array with each value of another array as show below:
Array:
A = [A1 A2 A3] B = [B1 B2 B3] C = [C1 C2 C3]
Needed Values:
D = A1+B1+C1 E = A1+B1+C2 F = A1+B1+C3 G = A1+B2+C1 H = A1+B2+C2 I = A1+B2+C3 .... and so on
On a side note, what is the MATLAB notation for a specific value of an array such as A(1) = A1

 Accepted Answer

James Tursa
James Tursa on 22 Jan 2021
Edited: James Tursa on 22 Jan 2021
One way using implicit array expansion:
D = A(:) + reshape(B,1,[]) + reshape(C,1,1,[]);
Your results are the elements of D.
I'm not sure what you are asking about A(1) vs A1. A(1) is the MATLAB notation for the 1st element of variable A. A1 would be the name of a different variable ... it has no relationship to variable A.

2 Comments

What I get with this is jumbles of information, where only the first value is correct. To be more specific each value of each array is an 11 value array itself and I need a loop that automatically that spits out the summation array.
A = [1 2 4];
B = [8 16 32];
C = [64 128 256];
D = reshape(A, 3, 1) + reshape(B, 1, 3) + reshape(C, 1, 1, 3)
D =
D(:,:,1) = 73 81 97 74 82 98 76 84 100 D(:,:,2) = 137 145 161 138 146 162 140 148 164 D(:,:,3) = 265 273 289 266 274 290 268 276 292
[A(2)+B(3)+C(1), D(2, 3, 1)]
ans = 1×2
98 98

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