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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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Newton's square formula using tkinter/using a button for computations multiple times

I am new to python. My question is: Can I use one button "Estimate" mutiple times to compute my answer? More specifically, the project is to implement Newton's formula into tkinter. If the input is 0 the estimateVar text box is computed to result in…
Lucas Zimmerman
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Newtons divided difference

The problem is this http://www.spoj.com/problems/CMPLS/ I thought of implementing newtons divided difference and find out the polynomial. But I am not able to get the correct answer. Some basic test cases are passing but some are not. # include…
Abhi80
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Break if Newton's method is not convergent

I'm trying to implement Newton's method for polynomials to find zero of function. But I must predict case when function hasn't a root. I'm wondering how can I detect moment when the method becomes divergent and then stop procedure? Thank you in…
adolzi
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Java- DerivativeStructure inside the Apache Math.Commons library

I am having trouble implementing a more complicated form of the DerivativeStructure class provided by the Apache Commons Math Library. I wrote two programs, a trial program and then a real program. The problem I have encountered deals with my real…
Axion004
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How to apply Newton-Raphson method to Backward Euler method using built-in function numjac?

I am working on a program that solves the initial value problem for a system of differential equations via the theta method. My code is as follows: function [T,Y] = ivpSolver(f, S, y0, theta, h) %INPUT %f: a function-handle which describes the…
Peter Lawrence
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Implicit Euler method for integration of ODEs

For those of you familiar with the method, it is known that one must solve the equation: y(i+1) = y(i) + h*F( X(i+1), Y(i+1) ) However, F is usually not linear, and the resulting equation usually has many different solutions for y(i+1). Which…
Steve
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solving nonlinear equations in matlab

I have a homework question that I cannot answer. Here is the question prompt: Define Eq. 8.3 and Eq. 8.4 in a function. This function should take a vector of joint angles ( and ) as input and should return a column vector containing the two…
Macon Leighton
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Matlab shows result form of x

I am trying to write a modified Newton formula in MATLAB, but MATLAB shows results in symbolic (x) form, not numeric. Here is the code: clc format long g syms x; fun = input ('Enter the function f(x)= :…
Omer Faruk
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Newton Method for Nonlinear set of Equations

I'm a rookie in programming in Fortran90. I used NR method for a system of non-linear equations found in Numerical Recipes and put together a code that does not generate any errors when I compile with GFortran. Problem is, it does not generate any…
Riyal
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Newton's method roots on Matlab

I am not so much experiences with Matlab. I just need it for the sake of solving some lengthy non-linear equations. Instead of using fzero, I wanna use Newton-Raphson's to solve the equation. newton.m file contains the following code. function [ x,…
India Slaver
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Matlab differentiate an inline function

How can I differentiate my Function Fun? When I try to use diff it says 'diff' is not supported for class 'inline' The code I used is shown below: fprintf('Newton Raphson\n'); Fun=input('\nType a function \n'); xi=input('\nType initial…
Ana Aguilar
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MATLAB: Newton Algorithm - two-sided approximation of Jacobian matrix

I have a question concerning the Newton Algorithm in MATLAB. The algorithm should be capable of performing a two-sided approximation technique for the Jacobian Matrix in case that there is no analytical Jacobian provided. function [x,fx,ef] =…
antonio
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Invalid Input: Second argument is missing

I'm trying to use Newton's method to approximate where the gradient of a function = 0 But I'm guessing error messages when I try to put in guesses for an iteration of Newton's, and I don't know what the problem is. (For reference, Profit = 144TVa -…
GFauxPas
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Writing Log-Likelihood function with Penalty in R

I'm trying to estimate the parameters of my Log-Likelihood function given a set of constraints and using the Newton-Raphson method. My actual target function is more complex than the one that I will be showing in this question and it has a fairly…
g_puffo
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Newton Raphson method equation solver algorithm

In the code below, when I choose for example "max_n_iterations" to be equal to 1, the list "approximations", when printed, displays two elements where it should only display one (the initial x). What is the reason for this? #This exercise shows an…
user3957049
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