Newton root iteration
uses local tangent zeros to approximate the roots of nonlinear equations.
symbols, variables and units
f: objective function; f′: derivative; x_k: k-th step estimate.
applicable conditions and boundaries
f′(x_k)≠0; improper initial value may diverge, and convergence check is required.
formula source code
The following is a copyable LaTeX expression.
x_{k+1}=x_k-\frac{f(x_k)}{f'(x_k)}Reference and Extended Learning
Stanford · Convex Optimization, Boyd & Vandenberghe ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
Newton methodFind the root