MATLAB Matlab Question: variables that depend on previous variables

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The discussion focuses on how to implement a variable sequence in MATLAB where each variable depends on the previous one. A simple loop method is provided, but it is criticized for being inefficient due to the performance drawbacks of using for loops in MATLAB. Instead, participants suggest using vectorization techniques, such as the filter command or direct array manipulation, to achieve better performance. The consensus emphasizes that avoiding loops can significantly enhance execution speed, especially in larger datasets or more complex algorithms. Overall, the conversation highlights best practices for coding in MATLAB to optimize performance.
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Hi,

I was wondering how you can get this to work in MatLab:

input is n

for i from 1 to n
x0 = 1
xi = x(i-1) + 2


So that for i = 1, x1 = x0 +2, or x1 = 1 + 2

Is there anyway to express this in MatLab?

Thanks!
 
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A quick and dirty way to do it is as follows.

Code:
n = 10;
x = [1 zeros(1, n)];

for i = 2:n+1
   x(i) = x(i-1) + 2;
end

This is, however, bad practice since it takes n loops to achieve what you want; it's not the sort of thing you'd use in serious code since you should generally avoid for() loops in Matlab wherever possible.

A much better solution would probably involve some use of the filter command. Check the docs for more info.
 
shoehorn said:
This is, however, bad practice since it takes n loops to achieve what you want; it's not the sort of thing you'd use in serious code since you should generally avoid for() loops in Matlab wherever possible.

A much better solution would probably involve some use of the filter command. Check the docs for more info.
I don't buy this at all. As fast as CPUs are these days, even interpreted languages (which I believe Matlab to be) are able to execute thousands of iterations in very little time. If there's any bottleneck, it's likely Matlab is waiting on I/O.
 
Mark44 said:
I don't buy this at all. As fast as CPUs are these days, even interpreted languages (which I believe Matlab to be) are able to execute thousands of iterations in very little time. If there's any bottleneck, it's likely Matlab is waiting on I/O.

I use Matlab everyday at my job and avoiding loops can make a huge difference. I also find it quite fun to try and vectorize various algorithms. Granted, for scripts that only take a second to run, its all a wash.
 
n = 10;
x = 1:2:(2*n+1);
 
Mark44 said:
I don't buy this at all. As fast as CPUs are these days, even interpreted languages (which I believe Matlab to be) are able to execute thousands of iterations in very little time. If there's any bottleneck, it's likely Matlab is waiting on I/O.

Anyone who has used Matlab for any serious work knows that the cardinal rule is to avoid loops whenever possible. This is not debatable in any sense.

Indeed, as matonski said, avoiding loops and vectorising your code can see huge gains in performance, particularly on multiple cores.

matonski said:
n = 10;
x = 1:2:(2*n+1);

Indeed. That's much better than a loop.
 

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