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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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A version of Newton Raphson (Newton's method)

public class Sqrt { public static void main(String[] args) { double EPS = 1E-15; double c = Double.parseDouble(args[0]); double t = c; while (Math.abs(t - c/t) > t * EPS) …
stratofortress
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Update values of array when a specific element is changed

Let us assume that I have defined a function named computeValue (double x): whose input is a double value that returns a value obtained by performing a certain set of operations using the elements of an array, to be described below. Also, we have…
Adam
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Plotting newton-raphson/fisher scoring iterations in R

Is there a package in R plotting newton-raphson/fisher scoring iterations when fitting a glm modelel (from the stats package)?
Patrick Balada
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Newton's method is divergent for some polynomials

I've tried to implement Newton's method for polynomials. Like: double xn=x0; double gxn=g(w, n, xn); int i=0; while(abs(gxn)>e && i<100){ xn=xn-(gxn/dg(w, n, xn)); gxn=g(w, n, xn); i++; } where g(w, n, xn) computes the value of the…
adolzi
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javascript implementation of newton vs. bisection

Out of curiosity, I want to verify that Newton is indeed faster than bisection (for the cases it successfully converges) for solving nonlinear equations. I implemented both out of textbook algorithms. The function tested is: f(x) = 5*(x-0.4)*(x^2…
Jyun-Ming Chen
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R: Find roots of polynomial equation

I have this equation in R. f <- function(x) {first +second*x +third*x^2 +fourth*filter_factor - log(myBITRATE)} where first= -5.219078 second = 0.7613156 third = -0.01298033 fourth = -0.05218249 filter_factor = 1 myBITRATE = 184.47 Is there a way…
zinon
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How to find the second derivative in R and while using newton's method with numerical derivation

The log-likelihood of the gamma distribution with scale parameter 1 can be written as: (α−1)s−nlogΓ(α) where alpha is the shape parameter and s=∑logXi is the sufficient statistic. Randomly draw a sample of n = 30 with a shape parameter of alpha =…
user114634
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Newton's Method for finding Complex Roots in Java

I got a project in my Java class which I'm having trouble with. The project is basically marking coordinates on the screen, making a (complex) polynomial out of them, then solving the polynomial with Newton's method using random guesses and drawing…
Whatislife
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Newton method issue

I have an issue with Newton(tangent) method in Matlab. I wrote a program, that: Displays the graphic of the given function f, associated with the nonlinear equation, which solutions I need to determine(thus I let the user determine the first…
wonderingdev
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Solve for the positions of all six roots PYTHON

I'm using Newton's method, so I want to find the positions of all six roots of the sixth-order polynomial, basically the points where the function is zero. I found the rough values on my graph with this code below but want to output those positions…
ryan m.
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Division by zero in the Newton-Raphson method

I'm trying to implement the Newton-Raphson method in Scilab where the input must be a root point of the equation already established inside the function. However after doing the derivative of the function and inputting the root, I get division by…
Silvestrini
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Newton Fractal generation

I wanted to write my own newton fractal generator.. It's using OpenCL... but that's not the problem.. my problem is that atm. only veerryy few pixels are converging. So to explain what I've done so far: I've selected a function I wanted to use:…
fodinabor
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Newton Raphson iteration trapped in infinite loop

I'm quite a beginner in this topic, and couldn't find out the reason: sometimes the program works, sometimes not (after asking the question, it simply doensn't want to take in my answers, than I can write in as much as I want, it doesn't respond,…
Soma Turi
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Durand-Kerner method to find roots of nonlinear equation

I am being asked to find the roots of f(x) = 5x(e^-mod(x))cos(x) + 1 . I have previously used the Durand-Kerner method to find the roots of the function x^4 -3x^3 + x^2 + x + 1 with the code shown below. I thought I could simply reuse the code to…
Ca01an
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scipy.optimize.newton gives TypeError: 'float' object is not callable

Im new to python and I was writing this simply code for finding the roots of the function: from scipy import optimize x = eval(raw_input()) #Initial guess f = eval(raw_input()) # function to be…
user277746
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