Can I rename the dependencies of an anonymous function?
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I am writing an FEA code trying to minimize memory allocation and improve speed in MATLAB. For that purpose I want to declare my element stiffness matrix using a combination of anonymous functions. Although I have been successful, at the time of evaluation I need too many input arguments, and it makes sense to group them in vectors to improve readability. Below I expplain it a bit more.
Although I could declare my anonymous functions as:
f = @(x) x(1)^2 + x(2)^2;
Because I am using symbolic differentiation I need to declare as:
f = @(x,y) x^2 + y^2;
syms x y real
g = matlabFunction([diff(f,x);diff(f,y)]);
My question is if it is possible to rename the dependencies of " g " after the derivative operation is done. I obtain "g" as a function of "x" and "y", but I would like to transform it into a function of ![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363818/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363818/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363823/image.png)
Finally, it would be nice if the function
depends on x and y, even though the derivative does only depend on one of them, let's say
, that you can still call it as ![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363838/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363828/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363833/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1363838/image.png)
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Accepted Answer
Star Strider
on 22 Apr 2023
I am not certain what you want to do, however it seems that you want to compbine both of the arguments into a single vector.
syms x y real
f(x,y) = x^2 + y^2;
g = matlabFunction(f, 'Vars',{[x,y]})
The two variables are now combined into one row vector called ‘in1’ so that ‘x’ is ‘in1(:,1)’ and ‘y’ is ‘in1(:,2)’.
.
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