Newton–Raphson method


### **generalization to multi-dimension**
n차 방정식은 n번 하면 의미있는 approximation
H is [Hessian Matrix](https://texonom.com/hessian-matrix-e1ebbf5284284a1793233973648ef0b6) 
![](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Ff0e2e178-fd5d-41a0-afe5-d675b3550a52%2FUntitled.png?table=block&id=4afbeb88-1597-4e99-a11f-36f029bb0e10&cache=v2)
- more few steps and one directional



### Generalized form
$$x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$$
$$\theta := \theta H^{-1}\nabla_\theta(\theta)$$




> [Newton's method](https://en.wikipedia.org/wiki/Newton's_method)




