[Optimization model] Newton's method to solve nonlinear equations

Language 2023-07-18 18:18:34 views: null

1. Mathematical principle of Newton's method

Newton's method is an iterative optimization method for solving systems of nonlinear equations. Its basic principle is based on the Taylor series expansion and the approximation of the first derivative, and iteratively corrects the initial guess solution to approximate the solution of the equation system.

Suppose we want to solve a nonlinear system of equations:
$F (x) = <$

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