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Questions tagged [newtons-method]

In numerical analysis, Newton's method (also known as the Newton–Raphson method) is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

In numerical analysis, Newton's method (also known as the Newton–Raphson method) is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

Formula:

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In this formula xn + 1 is the next closest approximation after xn, f(xn) is the function at xn and f'(xn) is the derivative of the function at xn.

First approximation x0 has to be in interval (a,b) where exact solution x* is situated.

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Newton Raphsons method in Matlab?

Newtons-Raphsons method is easy to implement in Mathematica but in Matlab it seems a bit difficult. I don't get if I can pass a function to a function and how to use the derivative as a function. newtonRaphson[f_, n_, guess_] := If[n == 0, guess,…
jon
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Multivariate Newton's method for equations derived using Sympy

Converting Sympy derived equations to be compatible with scipy.optimize.newton for multivariate problem I referred to Error using 'exp' in sympy -TypeError and Attribute Error is displayed. I found out that using lambdify will make the symbolic…
Lucky
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Plot of function, DomainError. Exponentiation yielding a complex result requires a complex argument

Background I read here that newton method fails on function x^(1/3) when it's inital step is 1. I am tring to test it in julia jupyter notebook. I want to print a plot of function x^(1/3) then I want to run code f = x->x^(1/3) D(f) =…
grzegorzs
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Time complexity for square root using Newton's method

I have written a java program to find square root of a given number using newton's method.This program works exactly as intended But I am not good at time complexity. So can you please tell me what is the time complexity of following…
Dhaval Padaya
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Using Scheme to calculate Newton-Raphson's

According to Newton-Raphson's: Xn+1 = Xn - f(Xn) / f'(Xn) (newtonRhap x f fx) (newtonRhap 0.1 sin cos) => 0 (newtonRhap 2.0 (lambda (x) (- (* x x) x 6)) ; f (lambda (x) (- (* 2 x) 1 )) ) => 3 ; f' How…
Jack Mulin
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Newton's method for approximating square roots

I'm trying to program a function to compute Newton's method. Expect I keep getting an error in my code. This is the prompt that I was given to write a code for And this is my code that I have written down import math def newton(x): tolerance =…
Jianna
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Use of Newton-Raphson Solver for Single-Variable System of Equations in Javascript

I want to solve the equation of the form ax^2 -bx + c for various values of defined parameters a,b, and c in 1D arrays A, B, and C respectively. const A = [1, 1, 1] const B = [5, 3, 2]; const C = [4, 2, 1]; var i = 0 var x0 = [10, 12,…
Isaac
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How can I run my Newton's method in this case?

There is a function like: y = (e^x - 2)^n The x is an unknown, for n = 2,3,4,...,8 Now I want to use NR method to find the root of this function(initial x is 0). I know how to write an NR method if the n is a fixed value, here's my origin NR…
Hongbing
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Newton's root finding method in MATLAB: quadratic vs cubic convergence

So I have this example Newton's method for root finding with quadratic convergence below. It takes a function f, the derivative of f df, initial guess g, and tolerance tol. It outputs the # iterations it to reach nth root, the root estimate r, and…
dgdgdg
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Newton method implementation for finding initial values, with Dormand Prince to solve differential equations in C

The following code works like a charm to solve a system of differential equations in it(fcn function in the code), with correct initial values. However, the point of the task is to replace initial values y_1(0) and y_2(0) with some random values,…
Moriarty
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Graphing Newtons method in python

In the following code I have implemented Newtons method in Python. import math def Newton(f, dfdx, x, eps): f_value = f(x) iteration_counter = 0 while abs(f_value) > eps and iteration_counter < 100: try: x = x -…
fr14
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No sign change found error in R but not excel

Just trying to understand why when I find the root of the following equation in excel I get a value however in R I get the "no sign change found error" (-exp(-i*x))-x + 1 i = 1 in this case. I'm plotting a graph where the value for i is 1:5. I've…
Michael Skehan
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What went wrong with my Bisection method algorithm

I'm working on my assignment where I must workout the bisection method on python. The algorithm looks correct in my eyes but when I run the code, I get a TypeError: unsupported operand type(s) for *: 'NoneType' and 'NoneType' . Whats wrong and…
Chance Gordon
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Newton method not converging after iteration (Python - scipy)

I am trying to solve the kmv merton model for default prediction (based on the black scholes model) in Python. I referred to the following code as a jump off point for my code. My code is as follows: # -*- coding: utf-8 -*- """ Created on Mon Sep…
kritim13
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How to tell if Newtons-Method Fails

I am creating a basic Newton-method algorithm for an unconstrained optimization problem, and my results from the algorithm are not what I expected. It is a simple objective function so it is clear that the algorithm should converge on (1,1). This is…
RocketSocks22
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