Secant method - Wikipedia
In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method can be thought of as a finite-difference approximation of Newton's method, so it is considered a quasi-Newton method.
Secant Method (Definition, Formula, Steps, and Examples) - BYJU'S
The secant method is a root-finding procedure in numerical analysis that uses a series of roots of secant lines to better approximate a root of a function f. Let us learn more about the second method, its formula, advantages and limitations, and secant method solved example with detailed explanations in this article.
弦截法（Secant Method）迭代求根的python程序 - CSDN博客
2020年11月4日 · 弦截法（False Position Method）：也是一种使用两个初始点的方法，但是使用的是两个端点之间的弦来逼近方程的根。 这些方法各有优缺点，可以根据实际情况选择适合的方法。
02R03弦截法(Secant Method) - 知乎 - 知乎专栏
这种情况下，我们考虑利用 差商 来代替原本的导数，也就是所谓的弦截法(Secant Method) \begin{aligned} p_{n+1}&=p_n-f(p_n)/(\frac{f(p_n)-f(p_{n-1})}{p_n-p_{n-1}})\\ &=\frac{p_{n-1}f(p_n)-p_{n}f(p_{n-1})}{f(p_n)-f(p_{n-1})} \end{aligned}
Secant Method of Numerical analysis - GeeksforGeeks
2024年8月21日 · Secant method is also a recursive method for finding the root for the polynomials by successive approximation. It’s similar to the Regular-falsi method but here we don’t need to check f(x 1 )f(x 2 )<0 again and again after every approximation.
C.4 The secant method - Mathematics LibreTexts
2021年11月24日 · The secant method is a variant of Newton's method that avoids the use of the derivative of \(f(x)\) — which can be very helpful when dealing with the derivative is not easy. It avoids the use of the derivative by approximating \(f'(x)\) …
2.3: Secant Method - Mathematics LibreTexts
2022年5月31日 · The Secant Method is second best to Newton’s Method, and is used when a faster convergence than Bisection is desired, but it is too difficult or impossible to take an analytical derivative of the function f(x) f (x). We write in place of f′(xn) f ′ (x n), f′(xn) ≈ f(xn) − f(xn−1) xn −xn−1 f ′ (x n) ≈ f (x n) − f (x n − 1) x n − x n − 1.
Numerical Analysis/The Secant Method - Wikiversity
2020年10月4日 · The secant method is an algorithm used to approximate the roots of a given function f. The method is based on approximating f using secant lines. The secant method algorithm requires the selection of two initial approximations x 0 and x 1, which may or may not bracket the desired root, but which are chosen reasonably close to the exact root.
The secant method drops the change-of-sign requirement, resulting in simpler code, and faster convergence when the initial estimates are close to a root. For a given function f(x) whose root we are seeking, suppose we have two sample data points, (a,f(a)) and (b,f(b)). Then the linear function that matches this data has the form:
Two important methods we discussed were Newton’s Method and the Secant Method. Recall that Newton’s method is a special case of the method of fixed point iterations. Given an equation f(x) = 0, we define a sequence x0, x1, . . . using an initial approximation x0, …