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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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Passing additional arguments in Newton’s method in Fortran

I am having trouble in implementing an approach to call Newton's method in a Fortran program. So I want to use Newton's method to solve an equation following the link However, my program is slightly different with the example above. In my case, the…
Chang
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How to Rationalize a fraction with out using standard functions?

So, How to write a python code which finds a rational number, which is closed to a fraction say f, without the use of standard function modules? E.g., 3.14=22/7 Also the numerator and denominators have limits, like: numerator can't be greater than…
Paranoid
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Newton-Raphson not working - future value annuity due formula

I'm coding a 'Future Value of Annuity Due' calculator, that allows a user to find an unknown in the formula. The formula is fv = (1 + i) * pp * ((1 + i)**n - 1) / i; where fv is future value, pp is periodic payment, i is interest rate and n is…
Mike
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Implementing a Newton-Raphson iteration method

I'm trying to implement a backward Euler Scheme using the Newton Raphson iteration. I understand that with each iteration, one makes an initial guess, calculates the residual and solve for the change. In my case the change is del w. After that I…
ykmizu
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2D Newton's method in python

I am working on coding a backward Euler method in Python and I am having problems coding the Newton part. We are given a tolerance of 1e-4 and using this I am getting very small numbers in the output vector for my Newton's method. This is my…
bananagurlz
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Newton convergence method not working

I am trying to approximate the root of a polynomial using Newton-Raphson method. The code I wrote to do it looks like this: #include #include int main (){ double c, nq, nnq, nnnq, v, h, q,…
John Keeper
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Error in implementation of multiple for loops

In this program I have to find the root of the function using Newton-Raphson method. For every value of r I need to find R, f0 then I find the root. After which I want to increment the value of r and find the root again till r<=10. I am able to…
Sudhir Kumar
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Newton Raphson iteration - unable to iterate

I am not sure this question is on topic here or elsewhere (or not on topic at all anywhere). I have inherited Fortran 90 code that does Newton Raphson interpolation where logarithm of temperature is interpolated against logarithm of pressure. The…
gansub
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Try to find approximate root by newton raphson method in C?

#include #include #include double valOfFuncAt(double ); double derivativeAt(double ); double a,b,c,d; int main(){ double xo; double x1; double fx,f_x; printf("Enter The Coefficients Of The Cubic…
user8352140
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Nonlinear interpolation using Newtons method

Given a set of datapoints I'm trying to approximate the coefficients a,b in the function U(x)=8-ax^b using Newtons method in MATLAB. x = [150 200 300 500 1000 2000]'; y = [2 3 4 5 6 7]'; a=170; b=-0.7; iter = 0; for iter=1:5 f=8-a*x.^(b) -y; …
bullbo
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N-th Root Upto 101 Significant Places

I'm required to determine the n-th(n is a positive 32-bit integer) root of a given floating point number x of arbitrary precision upto 101 significant places. My approach using Newton's method however gives me results upto 53 decimal places only.…
Zubair Bashir
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How to know when Newton's Method will fail using Haskell?

In Haskell, I am using the following function to find the root of a polynomial: polyNewton :: (Fractional a, Ord a) => Poly a -> a -> a` polyNewton p s = if (abs(polyValue p s) <= (0 + 1e-10)) then s else polyNewton p (s - (polyValue p s) /…
Jack Buckley
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Fortran 90 called with implicit interface when passing procedure as argument

I want to use the Newton solver to solve some equations. Some parameters of these equation are changing during the process. I want to pass the equation as a function to the Newton function like this…
Chang
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MATLAB - Newton's Method to solve a system of nonlinear equations

I'm trying to write a function that uses Newton's Method to solve a system of nonlinear equations Function: [roots, count, resids, history] = Newtons(func,x0,tol) with the following inputs and outputs. I'm struggling with creating the function…
Nick Stephen
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Variable Reassignment in Python-- ontological query -- using Newton Method

I'm reading from Miller and Ranum's book on Algorithms and Data Structures using Python. They use the following example: def squareroot(n): root = n/2 for k in range(20): root = (1/2)*(root + n / root) return root My question…
efw
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