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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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Matlab newton method with finite differences

I would like some help with my program. I still don’t understand where my problem is, since it’s kind of a big mess. So it consists of the main program: function x = NewtonM(funcF,JacF) x= zeros(2,1); x(1) = 1 x(2) = 5 k = 1; …
Steve
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how to calculate polynom coefficient at compile time?

I need to calculate the initial guess for the newtons method at compile-time. I'd like to prevent this calculation from happening at runtime. Usually, I'd solve this problem using the enum trick: enum { a = make_coeff(...), b = make_coeff(...), …
user1095108
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Newton Raphson Algorithm in R for Implied volatility

I have the Black Scholes formula for options pricing in R : BS = function(Flag,St, K, D, r, Ti, sigma) { d1 = (log(St/K) + (r - D + (sigma^2)/2)*Ti) / (sigma*sqrt(Ti)) d2 = d1- sigma*sqrt(Ti) if(Flag == "call") price = St*exp(-D*(Ti))…
Homer Jay Simpson
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glsl fractal shader for raylib not working correctly

https://github.com/bananaboy139/fractal/tree/OpenGL-shader https://github.com/bananaboy139/fractal/blob/OpenGL-shader/images/2.png?raw=true this is the original image I made with…
Bananaboy
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How To Use Multivariable Newton Raphson Method for Functions With Sum Loop

I'm currently trying to estimate parameters of a distribution with the mle method in Python. These are the derivative of my loglikelihood function: Loglikelihood Partial Derivatives As you can see it has a quite complicated formula and I would need…
Natasha Davina
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Python Newton Method - Blowing up

I am running into some issues with Newton method. I tried to debug but dont know what seems to be the root cause. Thought I will post it out here to see if somebody can help. I have a simple function to compute oil density, rho_p0, which takes an…
Dark Knight
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Golf putting problem using 4th order Runge-Kutta and Newton-Raphson

For a uni project I was asked to code a program to solve a two-point boundary value problem. The problem is referred as the putting problem and illustrates the shooting method for two-point boundary-value problems. The differential equations are…
V A
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How to make this code to print out the result?

import math import numpy as np import matplotlib.pyplot as plt def F(x): return x**5/(np.exp(x)-1) def deriv(x): a=0.0001 return (F(x+a)-F(x))/a def newton_step(xi): return (xi-F(xi)/deriv(xi)) def newton(x0): …
john chong
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Computing the Jacobian matrix in Fortran

In Newton's method, to solve a nonlinear system of equations we need to find the Jacobian matrix and the determinant of the inverse of the Jacobian matrix. Here are my component functions, real function f1(x,y) parameter (pi =…
WhyMeasureTheory
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Newton-Raphson method (square root) in Pascal, recursion

I want to implement this square root method in Pascal using recursion. However, I have some problems understanding how to transfer iterative method into recursive method: Program NewtonRaphsonRecursive(output); {$mode objFPC} function…
Brian Brown
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Newton-Raphson in Pascal, not very good results

I implemented Newton-Raphson metohd in Pascal. It's strange because the same code in C++ gives good results (for 9 it's 3) but in Pascal for 9 it's 3.25, Why so? Pascal: Program NewtonRaphsonIter(output); {$mode objFPC} function…
Brian Brown
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Error in newton raphson method finding root

I was trying to use the newton raphson method to compute the derivative of a function and I got the following error: import numpy as np import matplotlib.pyplot as plt import sympy as sym acc = 10**-4 x = sym.Symbol('x') def p(x): #define the…
The Emerging Star
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How to solve first order ODE equations of motion with given init

I have converted an equation to the first order ODE and now i would like to solve the motion equations for multiple periods with given conditions. The equations shall be solved with the following 0 values: x(0), y(0), vx(0), vy(0) = 3, 1, 2, 1.3 ×…
Laura V.
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Converges and diverges of Newton's method

I need to find a root of arctan(x-e) using Newton method and prove that exists such "a" for which if |x-e|a method diverges,then derive the equation to find this "a" and solve it.I wrote a programm,but don't…
Nick_Dowson
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How does optimize.newton choose x1 if fprime is not provided and it must use the secant method?

The scipy.optimize.newton documentation reads: "The Newton-Raphson method is used if the derivative fprime of func is provided, otherwise the secant method is used." The secant method requires two estimates of the zero of func, x0 and x1. But the…
Reuben Blaff
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