creating algorithm for specific computation

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sermet 2018-9-19

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/419806-creating-algorithm-for-specific-computation

评论： Guillaume 2018-9-19

采纳的回答： Guillaume

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I need to perform below computation using algorithm approach.

t=100; % constant et=1:1:4; % the numbers of "et" are variable.

result=(((t-et(2))*(t-et(3))*(t-et(4)))/((et(1)-et(2))*(et(1)-et(3))*(et(1)-et(4))))+(((t-et(1))*(t-et(3))*(t-et(4)))/((et(2)-et(1))*(et(2)-et(3))*(et(2)-et(4))));

How can I create algorithm to perform above computation automatically with respect to the array number of et?

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Answer 1

Guillaume 2018-9-19

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https://ww2.mathworks.cn/matlabcentral/answers/419806-creating-algorithm-for-specific-computation#answer_337468

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If I understood correctly:

numerators = t - repmat(et(:), 1, numel(et));  %calculate t-et(1), t-et(2), etc.
numerators(logical(eye(size(numerators)))) = 1; %replace t-et by 1 on diagonal
numerators = prod(numerators); 
denominators = et - et';
denominators(logical(eye(size(denominators)))) = 1;
denominators = prod(denominators);
result = sum(numerators ./ denominators);