MATLAB: Alternative to “round” for accurate accumulation

mathematicsMATLABvectorization

I have a vector
A=[0.970, 0.486, 0.439, 0.0143, 0] % Ref vector from Algorithm-1
B=7 % Final sum expected from A
A1=A/sum(A) % Proportionate for sum==1
B1=round(A1*B)
B1=[4 2 2 0 0]  %Sum is 8 (not 7)
The objective is to convert vector A into integer such that the sum is B=7. Is there any matlab function by which sum of 7 can be achieved. Or can you please suggest other way. Kindly note that A changes in every iteration.

Best Answer

>> n = fzero(@(k)sum(round(A*k))-7,[0.01,100])
n =  3.4811
>> V = round(A*n)
V =
   3   2   2   0   0
>> sum(V)
ans =  7
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