## If you are near root, best bet is NR.

- e.g. For
**F**(**x**) =**0**, choose**x***i*+1 =**x***i*+****, where **F***'*(**x**)****= -**F**(**x**)- This is a matrix equation:
**F***'*(**x**) is a__matrix__with elements ∂*Fi*/ ∂*xj*. The matrix is called the__Jacobian__.

- This is a matrix equation:

- e.g. For
## Written out: