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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.

359 questions
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Programming Beginner - Java program adapted from C

I'm brand new at writing programs in any language and I'm trying to write a simple Newton-Raphson method which I think works in C (haven't compiled but going from a previous example that did work so I'm making this assumption) but realised that I…
user3306583
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C++, code works fine but not when extracting a function

First of all, I am a physics student, not a programmer so please forgive this trivial problem. I am trying to create a function to find the roots of a cubic equation using the Newton Raphson method. I have created code that pretty much works just…
Max Rodgers
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Levenberg-Marquardt optimization

Anyone knows where I cand find an .m (matlab ) file with the Levenberg-Marquardt moditication to the Newton's method to optimize a function? Thanks
Monique
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Python newton raphson; precision in calculations

I've written this function in python: def f2(x): return (5.0*x + log1p(x) - 10000.0) def dfdx2(x): return (5.0-(1.0/x)) def newtonRaphson2(f, dfdx, x, tol): x0 = x for i in range(1, 2000): if f(x) == 0.0: …
Zach
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Newtons Method of a User-defined Function

I am trying to find the roots of an equation using Newton's method. This is probably a very obvious mistake, but I keep getting an error that states: "TypeError: cannot determine truth value of Relational". Is there something I forgot to…
Pidge G.
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C++ Optimization Example

It is an optimization example of newton-raphson method. I get the error message when compiling : a function-definition is not allowed here before '{' token It points to the first line of the first function. Any help? thank you in advance #include…
JasBeck
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Error using ==> fprintf Function is not defined for 'sym' inputs and error disp(fprintf('...'); please help me

% Condenser and hated fluid Data UAc = 30600 ; %W/K mc = 6.8 ; %kg/s % Evaporator Data UAe = 26500 ; %W/K me = 7.6 ; %kg/s %input data ta = input('Input Temperature at evaporator inlet water(celsius),ta : '); tb = input('Input…
Nick Ukrit
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Newton Algorithm Function for Time Series in Python

Hello dear StackOverflow Community, First of all, I want to thank everybody who contributes to this Forum and thus directly and indirectly helps all those in the world with less developed coding skills. Now to my question. I have a series of…
TyRa97
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How to sum results from an argument,that come in array form

I have this fortran 95 do-loop code which return answers in array form, please how do i find the SUM of the answers (fv) without writing them out, because they're iterative and subject to change. thanks !.......vapor fraction.............. do…
priest
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C program to compute estimated root via Newtons Method

I have the following code /* KENDALL WEIHE CS321 HW2 PROBLEM 3 PURPOSE: COMPUTE THE 5TH STEP OF NEWTONS METHOD TO ESTIMATE THE ROOT OF A FUNCTION INTPUTS: INITIAL X0 = 1.5 OUTPUTS: ESTIMATED ROOT AFTER 5 ITERATIONS */ #include…
Kendall Weihe
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FORTRAN - Correct values are calculated in simple precision, but erroneous solutions in double precision?

I have the following code, regarding Newton's method for calculating zeros in multivariable vectorial functions: program Newton_Method_R_N_R_N_1_Numeric use Inverse_Matrices implicit none integer :: i, j !INDEX real…
Steve
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Function to find roots using Newtons Method with jacobian and transpose

Given f=[f1,f2]^t and the jacobian matrix for it How can i make a function using Newtons method that takes initial guess of x1,x2 with a tolerance of E and a max iterations of k to find the roots?
Michael Disano
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Newton's Method in C++

I am trying to translate f(x) = x − e-(x2) in c++ source code but I keep getting errors. I have tried : double f(double x) { exp = pow(-x, 2); double result = x - exp; return x; }; Any insight? If it helps, I am using Code::Blocks
Shay
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Numerically solving an equation

Algorithm to be coded in C#: fn = f(xn) f′n = df(xn)/dx ∆xn = -fn / f′n Update: xn+1 = xn + ∆xn Repeat the process until ∆xn ≤ e I must use the Newton-Raphson method to solve but I do not know how to do a loop that puts in the next answer each…
user2992445
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