Writing mathematical function in code

Hi! Can somebody help me how to write the following function in Matlab?

(1/2*N)*||x||^2 + (1/2*N) Σ max(0.1-(v(i)*(x0+u(i)*x))^2) with i from 1 up to N

I thought to start from the max but i only know how to calculate the max of a matrix. Should i put the prices of (0.1-(v(i)*(x0+u(i)*x))^2) in a matrix and then find the max?

Thank you.

[Walter Roberson]

Should i put the prices of (0.1-(v(i)*(x0+u(i)*x))^2) in a matrix and then find the max?

Possibly. You could vectorize,

(0.1-(v.*(x0+u.*x)).^2)

however it is not clear to me what max() is being taken with respect of. Is x possibly a vector?

If x is a vector then

max(0.1-(v(:).*(x0(:).'+u(:).*x(:).')).^2, 2)

would be the maximum over the x, in vectorized form. This requires R2016b or later to work as written.

The (:).' there are forcing whatever shape x0 and x are, to become row vectors. If you know for sure that x0 and x are row vectors then you can remove the (:).' operations (but you still need the (:) on v and u)

[sissy sissy]

Thank you for the answer! I know that x belongs to R^n and that x0 belongs to R.

[Walter Roberson]

max(0.1-(v(:).*(x0+u(:).*x(:).')).^2, 2)