Editing Root-finding algorithm (section)

=== Secant method ===
Replacing the derivative in Newton's method with a [[finite difference]], we get the [[secant method]]. This method does not require the computation (nor the existence) of a derivative, but the price is slower convergence (the order of convergence is the [[golden ratio]], approximately 1.62<ref>{{Cite web |last=Chanson |first=Jeffrey R. |date=October 3, 2024 |title=Order of Convergence |url=https://math.libretexts.org/Bookshelves/Applied_Mathematics/Numerical_Methods_(Chasnov)/02%3A_Root_Finding/2.04%3A_Order_of_Convergence |access-date=October 3, 2024 |website=LibreTexts Mathematics}}</ref>). A generalization of the secant method in higher dimensions is [[Broyden's method]].