lipschitz-continuity of gradient

[real bridge]

I have this function $f(x,y) = 2x^2+2x+y^2-4y+3$. Its gradient is:

[[4x +2],
[2y -4]]

I want to check if this gradient is lipschitz-continous. How do I do that? Also how to determine that L constant?

[sand gate]

ji

[olive mantle]

What norm do you use ?

They are all equivalent in R^2 but you have to chose one

[real bridge]

Euclidean norm

[olive mantle]

Ok, so, let's take :
$$u=(x,y), v=(x', y')$$

Compute:
$$||\Delta f(u)-\Delta f(v)||_2$$
And try something, then send it

[sand gate]

Ævan

[olive mantle]

If you already do something send it, we can show you the way

[real bridge]

Thanks

[fresh urchin]

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