Solving an algebraic loop / iterative loop in MATLAB
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Hello everyone!
I have the following problem: I have an iteration loop, that has to converge to a certain value of a vector x, where during the loop the iteration
is calulated directly from
with a nonlinear function f. At some point
is fulfilled (the "distance" between both vectors is smaller than a predefined tolerance value) and the iterations can stop.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/320296/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/320299/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/320302/image.png)
I found, that in Simulink this would be called an "algebraic loop" and that simulink can solve this (i also made use of that in the past). The thing now is, that i have this in a matlab code. For now, this is solved with a self-made variable gain controller and a feedback loop.
I was wondering, if there is some way to solve this with matlab onboard tools. In most cases i think that onboard tools are more reliable and faster than self-coded stuff is. I am looking for something like
x = iterate(@f,x0,opts);
that does this.
Any ideas?
Thanks a lot and best wishes so far
Thomas
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