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I'm wondering how to compute gradient and hessian for this function $$f(\textbf{x}) = ||\textbf{x}||_2^p$$, where $\textbf{x}$ is a vector and $p$ is a constant and $p>1$.

This is a homework question. As I'm unfamiliar with vector calculus which is the prerequisite of my class, I'm having a difficult time finding the solution. I'll appreciate it if you can give me reference to materials of vector calculus that helps finding the solution of this problem.

The original homework question is to perform Newton's method to minimize $f(x)$. So I'm thinking of computing gradient and Hessian. Any hints on the original question will be appreciated.

Thanks

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    $f(x_1,...,x_)=(x_1^2+...+x_n^2)^{\frac p 2}$2012-02-08

3 Answers 3