MATLAB: Filling an array with recursive function

functionsmatrix arrayrecursive functions

Dear MATLAB Users,
I am trying to fill in the empty array using a recursive formula. The formula is shown as follows:
(This expression is the base case for resursive function)
For all
In this formula, I already know the B array which is .
So far, I had many attempts but non of them worked. My function is shown below. When I run it, I get the error message "Assignment has more non-singleton rhs dimensions than non-singleton subscripts". Could you please help me to solve this problem?
function I_matrix = fill_I_recursively(B_matrix, u_ind, v_ind, w_ind)
M = size(B_matrix,1);
if u_ind == 1 && v_ind == 1 && w_ind == 1
    I_matrix(u_ind,v_ind,w_ind) = 0; 
else
    if w_ind > 1
        I_matrix(u_ind,v_ind,w_ind) = fill_I_recursively(B_matrix, u_ind, v_ind, w_ind-1) + B_matrix(u_ind,v_ind,w_ind-1);
    elseif v_ind > 1
        I_matrix(u_ind,v_ind,w_ind) = fill_I_recursively(B_matrix, u_ind, v_ind-1, M-1) + B_matrix(u_ind,v_ind-1,M-1);
    else
        I_matrix(u_ind,v_ind,w_ind) = fill_I_recursively(B_matrix, u_ind-1,  M-1, M-1) + B_matrix(u_ind-1,M-1,M-1);
              
    end
end
I am looking forward to hearing from you

Best Answer

I don't see why you need to use a recursive function:
M = 3;
B = randi(9,M,M,M);
I = zeros(M,M,M);
for ku = 1:M
    for kv = 1:M
        for kw = 1:M
            if kw>1
                I(ku,kv,kw) = I(ku,kv,kw-1) + B(ku,kv,kw-1);
            elseif kv>1
                I(ku,kv,kw) = I(ku,kv-1,M-1) + B(ku,kv-1,M-1);
            elseif kw>1
                I(ku,kv,kw) = I(ku-1,M-1,M-1) + B(ku-1,M-1,M-1);
            end
        end
    end
end
Note that the formula you gave will give different results depending on the order that you fill the dimensions in.
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