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Appendix I: Newton -Raphson method

1998
The generalised Newton-Raphson method is an iterative algorithm for solving a set of simultaneous equations in an equal number of unknowns. At each iteration of the N-R method, the nonlinear problem is approximated by the linear-matrix equation. The linearising approximation can best be visualised in the case of a single-variable problem.
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Does Newton–Raphson really fail?

Statistical Methods in Medical Research, 2014
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