Numerical Optimization: Write a numerical objective function

I have to minimize a numerical objective function of the form:

min Σ(x(i+1)-x(i))^2, i=1..10 and x(i) are the variables to be optimized

I tried using the symssum but doesn't give any results and I have not found anything else in the documentation. Does anyone have any idea how to write this? Thanks in advance.

Answer 1

[Walter Roberson]

@(x) sum(diff(x).^2)

[Thalassia Nouni]

Thank you for your answer, but this returns always the derivative of x, so it is always 1.

[Torsten]

No:

https://de.mathworks.com/help/matlab/ref/diff.html

[Walter Roberson]

It would only return the derivative if you are passing a symbolic variable to it; you should be passing a numeric vector to it.

For extra certainty you could code

@(x) sum( (x(2:end) - x(1:end-1)).^2 )

[Thalassia Nouni]

Thank you, this works perfectly!!