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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.

418 questions
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Counting iterations in Newton-Raphson's method

I'm working in a simple program that calculates the root of any given function using Newton-Raphson's method. In this program I have to print the found root and the number of iterations made. The program itself is fine, I can find the root of any…
Diego
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MIT 6.00 Newton's Method in Python 3

This is part of the second problem set for MIT's OCW 6.00 Intro to Computation and Programming using Python. First, I created a function that evaluates a polynomial for a given x value. Then a function that computes the derivative for a given…
Durf
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singular matrix in python implementation of newton-raphson method

I've written a code in python which implements the Newton-Raphson method to solve multiple nonlinear equations. The specific question I've taken is from Mark Newman's - Computational Physics, exercise 6.17 Nonlinear circuits import numpy as np from…
Kartik Krishna
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Newtons method in C++

Hi I have checked numerous other questions but can't seem to figure out why my implementation will not converge. I keep getting the "Error, no convergence" part of my program even when I enter the root. The function is y = x^2 - 1 Here is the…
DoubleOseven
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Making an animation of Newton's Method for finding roots of a function

Earlier for my Calculus class, I had the idea to create a graph that would update itself to show the progression of Newton's Method for finding the roots of a function. So my question was, using Python and Sympy to handle all the messing calculus…
Clement
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how to call and use function Recursivity in matlab

I have an exercise with newton way calculate y(x+1)=y(x)-f(x)/f'(x) in this function I need y(x) and for this I use function Recursivity for y(1) & y(2) it's working because y(1) has formula y(1)=R*T/p ,for save y(x) I use zeros()to use when…
isan
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function to find roots through Newton's method and calling it to solve general equation

I have written this function for newton's method #root_Newton.py def root_newton ( f, df, guess, tolerance = 1.0e-6): dx = 2 * tolerance while dx > tolerance: x1 = x - f(x)/df(x) dx = abs (x - x1) x = x1 return…
bhjghjh
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gauss newton algorithm and matricial product

I'm trying to make an gauss-newton algorithm on python, and I have an error that I don't understand: np.dot(-Jr(x0,n,t).T,r(x0,t,a,n)) ValueError: shapes (2,7) and (1,7) not aligned: 7 (dim 1) != 1 (dim 0)` Not sure why my matricial product doesn't…
Valentin Mercier
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No error! Can't find the solution with java.lang.StackOverflowError

import java.util.*; public class NRootx { public static Double NRmethod (Double num, int root, Double guess){ guess= num/(root+1); //first guess Double guess_output=1.0; for (int i=1;i<=root; i++) { …
H M Shahriar
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MATLAB ERROR Feval requires a function handle as the first argument

I have this code (*) and when I do: »syms x »newton_raphson({((5400.*(1 + x)*0^360) - (1450000.*x.*(1 + x).^360))}, diff(((5400.*(1 + x)*0^360) - (1450000.*x.*(1 + x).^360)),1), 0.001, eps, 5, 0.1) this error appears: Error using feval …
UsherUser077
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Until convergence using for loop? (Newton's)

It is obvious while loop is easily used for running until convergence (Newton's), but is it possible to use a for loop? while loop for reference: maxIteration = 1000 tol = % some small number while (n>0) % do something if n
Chase
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Newton's method in C error - always the same root

This is my code: void Newton(double a,double b,double eps, double (*func)(double,double)) { double root; double x,y; x=a; y=b; root=y-func(y,0.5)/((func(y,0.5)-func(x,0.5))/(y-x)); double i; int n=(15-0.5)*10+1; …
Loozman Cool
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Creating basins of attraction from data file

How can Newton's basin of attraction be created from a data file? I got 10000 points in the range -2, 2 and their zeros for complex function z^3-1. I'd like to plot them with three different colors to create basin of convergence. Data I've…
xxxxx
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MATLAB - Newtons Method but error message "Singular Matrix"

When I use newtons method to find the roots of a system of equations I get the following error message: "Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.625479e-33. > In new (line 16)" Any ideas why I…
jopp
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Newton Raphson in Java code for beginners

My professor told us to make a program that will materialize the Newton-Raphson method in java code. The thing is that we should use beginners code for this. *Required: The program should return the value of x1 in each repetition and we must define…
George.K
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