M HYPE SPLASH
// updates

Vectorial form of an expression

By Abigail Rogers
$\begingroup$

I have the following vector $Y^{T} = [Y_{1,1},Y_{1,2},\dots,Y_{N,M}]$ and $\alpha > 0$. Is it possible to write the following expression in terms of $Y$

$$ S = \sum_{i=1}^{N}{\left(\sum_{j=1}^{M}{Y_{i,j}^2}\right)^{\frac{1}{\alpha}}} $$

For $\alpha = 1$, I can say $S = Y^{T}Y$. However, for the general case, I fail to see how to do this.

$\endgroup$ 1 Reset to default

Know someone who can answer? Share a link to this question via email, Twitter, or Facebook.

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy