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Error in matrix dimension and using a plus sign?

Asked by Snirisa Gödel on 19 Jun 2013

I am trying to write a code for the Midpoint rule given by :

M = \sum_{i=1}^{n}hf(\frac{x_{i-1}+x_{i}}{2})

My MATLAB code is following:

if true
  function M = mittpunkt(fun,a,b,n)
h = (b-a)/n;
x = linspace(a,b,n);
f = fun(x);
M = h*(sum(f(((1:n-1)+(1:n))/2)));
end

My error is :

Error using  + 
Matrix dimensions must agree.

If something is wrong I think it must me the index, certainly not the use of a plus sign, right? Thanks

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2 Answers

Answer by the cyclist
on 19 Jun 2013
 Accepted answer

In the line where you calculate M, you are trying to add

(1:n-1)

and

(1:n)

which are vectors of two different lengths. Those are the dimensions that don't match.

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Answer by Andrei Bobrov
on 19 Jun 2013
Edited by Andrei Bobrov
on 19 Jun 2013

Wikipedia about your problem:

function M = mittpunkt(fun,a,b,n)
h = (b-a)/n;
x = linspace(a,b,n);
f = fun(x);
%M = h*(sum(f(((1:n-1)+(1:n))/2))); your code
M = h*sum(f(1:end-1)+f(2:end))/2; % from Wikipedia
end

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