How to solve a nested summation with recursive function?

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Irvanda Kurniadi Virdaus 2018-11-7

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编辑： Irvanda Kurniadi Virdaus 2018-11-7

采纳的回答： Matt J

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Hi,

I have a question related to solving a nested summation equation with a recursive function.

Suppose I have an equation of:

So, I tried to solve this problem by using a for loop to solve the summation equation and using a recursive function to expand the order of nested summation.

 test(3,0)
 function [sum] = test(a,b)
 sum = 0;
 for i=1:a-b
    if a-b == 1
        sum = 1;
    else
        sum = sum + (a-b) * test(a,b+i);
    end
 end
 end

From the code I got

ans = 9

I appreciate any help, thanks.

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Matt J 2018-11-7

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编辑：Matt J 2018-11-7

I think your code is correct, and your calculation by hand is not.

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Irvanda Kurniadi Virdaus 2018-11-7

编辑：Irvanda Kurniadi Virdaus 2018-11-7

Ah you are right, I think I messed up the break down on the second nested sum.

It should be:

3(2+0)+3(1)+3(0)=9

Thanks for correcting

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MATLAB Language Fundamentals Matrices and Arrays Matrix Indexing

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