loop iteration in matlab

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Zeynep Toprak 2020-11-20

评论： Rik 2020-11-20

I have the following polynomial

F(x) = 1^5 + (1^5 + 2^5)+ (1^5 + 2^5 + 3^5) + ... + (1^5 + 2^5 + 3^5 + 4^5 + ... + x^5)

How can I write a loop iteration for this polynomials?

Stephen23 2020-11-20

Why do you need a loop?

1^5 + (1^5 + 2^5) + (1^5 + 2^5 + 3^5) + (1^5 + 2^5 + 3^5 + 4^5)
ans = 1610
sum(cumsum((1:4).^5))
ans = 1610

KSSV 2020-11-20

编辑：KSSV 2020-11-20

x = 10 ; 
thesum = 0 ; 
for i = 1:x
  thesum = thesum+sum((1:i).^5) ;
end

Zeynep Toprak 2020-11-20

btw, your code gives wrong result:(

KSSV 2020-11-20

Hey..yes there is a typo error in the code. I have edited it now.

Rik 2020-11-20

I would suggest not using a loop:

F=@(x) sum( ( (1:x).^5 ).*(x:-1:1) );

Zeynep Toprak 2020-11-20

this is with vectorization method?

Rik 2020-11-20

Yes, and the code posted by Stephen in a comment is also vectorized.

There are probably some exceptions I'm not thinking of, but if you don't see a loop (or cellfun/arrayfun) the code is vectorized.

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