MATHEMATICA TUTORIAL, Part 1.3: Secant Method
www.cfm.brown.edu › am33 › pythonThe formula involved in the secant method is very close to the one used in regula falsi: p k + 1 = p k − f ( p k) ( p k − p k − 1) f ( p k) − f ( p k − 1), k = 1, 2, …. When secant method is applied to find a square root of a positive number A, we get the formula. p k + 1 = p k − p k 2 − A p k + p k − 1, k = 1, 2, ….
Secant Method -- from Wolfram MathWorld
mathworld.wolfram.com › SecantMethodDec 17, 2021 · Secant Method. A root -finding algorithm which assumes a function to be approximately linear in the region of interest. Each improvement is taken as the point where the approximating line crosses the axis. The secant method retains only the most recent estimate, so the root does not necessarily remain bracketed.
MATHEMATICA TUTORIAL, Part 1.3: Open Methods
www.cfm.brown.edu › am33 › MathematicaThe order of convergence of the secant method is equal to the golden ratio: \( \varphi = \left( 1 + \sqrt{5} \right) /2 \approx 1.618033988749895 , \) which is better than the linear convergence of the bisection search, but worse than quadratic convergence of the Newton-Raphson method. Unfortunately, because the root is not bracketed, the convergence is not guaranteed.
Secant Method -- from Wolfram MathWorld
https://mathworld.wolfram.com/SecantMethod.html17.12.2021 · Secant Method. Download Wolfram Notebook. A root -finding algorithm which assumes a function to be approximately linear in the region of interest. Each improvement is taken as the point where the approximating line crosses the axis. The secant method retains only the most recent estimate, so the root does not necessarily remain bracketed.