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sum of a product with i differnt to j

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MichMichel
MichMichel on 7 Feb 2019
Commented: Matt J on 7 Feb 2019
Hi All,
I want to calculate a sum of a product as following:
I think my problem is quite relative to this topic: Double sum of a product, but in my case I have j ~= i.
I think something like that should work:
t = 1:100;
n = 10;
a = randn(n,1);
P = [];
for i = 1:n
F = [];
for j = 1:n
if j~=i
f = (a(j)-a(i))^n*t;
F = [F,f'];
end
end
p = prod(F,2);
P = [P,p];
end
res = sum(P,2);
But I feel that this solution is not good and something easier should exist?
Thanks a lot,
M.

Accepted Answer

Matt J
Matt J on 7 Feb 2019
Edited: Matt J on 7 Feb 2019
Something like this, perhaps,
A=a(:)-a(:).';
A(1:n+1:n^2)=1; %nullify i==j
f=sum(prod(A,2).^n)*t;
  2 Comments
Matt J
Matt J on 7 Feb 2019
You're welcome, but please Accept-click the answer to certify that it addressed your question.

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