I have a system
$\textbf{0}= f_n(\textbf{x})+ \epsilon u_n(\textbf{x})$,
which I want to solve numerically, where
$\textbf{x}=[x_1, ...,x_n]^T$ and $\epsilon \in \mathbb{R}$.
What is the Newton-Rhapson formula for this?
2026-03-29 12:31:33.1774787493
Newton-Rhapson method for a multivariate function
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