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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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How-to apply Newton-Raphson method to find roots of a quintic function

Description I have developed an algorithm implementing Newton-Raphson method to find a root of a quintic function. The result which I must mirror is 303.6. However, my implementation fails to measure up. Data Parameters g = 9.81; Ds = 0.198; uj =…
e.doroskevic
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What is the algorithm details of Mathematica's FindRoot when "method" is the default Newton?

When solving a three-variate nonlinear system, I tried different implementations: 1) Mathemaitca; (FindRoot, default method) 2) Matlab programming(by using central finite difference to approximate Jacobian) 3) C++ (by using central finite difference…
LCFactorization
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Functions as Inputs in C++

I am writing a function for Newton's Method in C++. I want to be able to designate a function to be used in the algorithm, but I want it as an input. For instance: double newton(f,df,tolerance,initial_guess,max_iterations) where f and df are the…
Demetri Pananos
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Newton's Method Java

Currently I am creating (trying) a program for Newton's Method and its suppose to allow you to guess the initial root and give you the roots. But I can't figure out how to put the x1=x0-f(x0)/f(x0) also needs a loop Here's my code currently :…
user2809115
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Is there any Newton Method solver in Matlab

I know how to program Newton method in Matlab, but I am still curious if there is any built-in Newton solver in Matlab?(Or bisection method?)
Cancan
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Newton-Raphson method in Mathematica

I want to implement Newton-Raphson method in Mathematica. Here is my code: f[x] = x^3 - x^2 + 1 MetodaTangente[x0_, eps_] := Block[{p0, p1, dp, k}, p0 = N[x0]; p1 = p0; dp = 1; k = 0; While[dp > eps, p0 = p1; p1 = p0 -…
Milos
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Improved Newton method using Bisection method in Python

I have write a code which is solving a 2nd order system of nonlinear equations in high dimensional (i=0,N) through the Newton method (Jacobian N+1 * N+1) , having 2 boundary conditions. I would like to ask you, if I is possible to implement the…
user1640255
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Bisection method (Numerical analysis)

How many recursions are made before every single root is found? Also, which ones are the roots? Here's my code: e=0.000001; f1=@(x) 14.*x.*exp(x-2)-12.*exp(x-2)-7.*x.^3+20.*x.^2-26.*x+12; a=0; c=3; while abs(c-a)>e b=(c+a)/2; if…
user1807155
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Gauss Newton minimization for multi-input multi-output function

Given the input-output function in the matrix form: |y1| = |p1 p2| |x1| |p5| |y2| = |p3 p4| * |x2| + |p6| with p1−p6 parameters.I want to minimize the least square error using Gauss-Newton method. Suppose we have 100 measurements.…
batista cori
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Functions and floating point comparison

#include #include #define abs(a) ((a)>0 ? a: -a) #define eps_sqrt 0.00000000000001 #define it 100 float sqrt(float x) /*The Square Root Function using the Newton's Method*/ { int it_sqrt=0; float a_sqrt = x/2; while…
user1372984
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Explanation of newton's method example on java

http://introcs.cs.princeton.edu/java/13flow/Sqrt.java.html: public class Sqrt { public static void main(String[] args) { // read in the command-line argument double c = Double.parseDouble(args[0]); double epsilon =…
user1164937
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About MIT 6.00 course lec06--Newton's method

I have tried to code in my own way, but found I got the wrong answer. I have read this page. And try to start the process: f(x)=x^2-e The math: So there is my code: def sqrtRootNR(num, count, epsl): """ for test """ num =…
pvd
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Python newtons method issues

I have been asking the community alot for help and i appreciate it all So ive been working on a program that solves newtons method in python but for some reason its not working could someone look over it please? thanks you =) import sympy from…
Shantanu
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How can I correct the "Argument Z must be 2-dimensional." in my code

I´m looking for the shape of a cistern using the Newton Raphson method. I´ve written this code asking for the graphic too. But when I want to use the function plot surface said that must to be 2 dimensional, and I don´t know how to fix it. If it…
Supernova3245
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Implementing Newton-Raphson Method for Nonlinear Circuit Simulation with Diode Components

I am working on a circuit simulator based on Modified Nodal Analysis (MNA), aiming to support nonlinear components such as diodes. To solve the nonlinear equations, I have implemented the Newton-Raphson method. However, I am facing issues with my…
Abdo21
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