Seonglae Chogeneralization to multi-dimension
n차 방정식은 n번 하면 의미있는 approximation
실제로 안쓰는 이유는 복잡하고 Newton-Raphson 방법은 헤시안 행렬이 양의 정부호(positive definite)일 때 잘 작동
H is Hessian Matrix
- more few steps and one directional
Generalized form
Newton's method
In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The most basic version starts with a single-variable function f defined for a real variable x, the function's derivative f′, and an initial guess x0 for a root of f. If the function satisfies sufficient assumptions and the initial guess is close, then
https://en.wikipedia.org/wiki/Newton's_method