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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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Newton Raphson Method for Several Variables

so I made an R code to estimate parameters (alpha1, alpha2, beta1, and beta2). Here's my code: library(base) library(pracma) library(readxl) x <- asuransiOhlssonaft$freq.claim z <- asuransiOhlssonaft$z t<-length(x) t_seq <- seq(1, t, 1) x_bar <-…
thisisdumpppp
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How to prevent SensitiveField converter from obscuring data in some class instances in C#?

I have some log that currently implemented, and my task is to implement to obscure the sensitive data(firstname, lastname, birthday, gender, etc…). I already finish the obscuring process, but currently I am having problem when a common model object…
vic
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how do you use bit swift in python

import sympy as sp import sys import datetime import decimal start_time = datetime.datetime.now() x = sp.symbols('x') a = 1234123412341234 f_x = 1/x - a fp_x = sp.diff(f_x) # 미분 x_init = sys.float_info.min # 2.2250738585072014e-308 Tolerance =…
kimking
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Newton Raphson to Iteratively Solve for Position

I have two dataframes: df1 = pd.DataFrame({'Time (sec)': [0,0.001,0.002,0.003,0.004], 'P_supply': [3098,4001,3099,4002,4003], 'Real_position': [0.000078, 0.000079,0.000088,0.000099, 0.0011], 'Ku':…
Jammal
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Numerical instability of system of equations of large order polynomials

I have a set of non linear polynomials V_n(Input[N])=0 where n runs from 1 to N, with N of Input[N] unknowns. The V_n() contained the polynomial tern of x**N. I used the newton's methods to find the roots but encountered the numerical stability…
ShoutOutAndCalculate
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Newton-Raphson method on the hyperbolic Kepler's equation

I'm here once again because I can't figure this out. I'm building an orbit simulator and currently working on placing the ship on a hyperbolic trajectory upon entering the SoI of a body. (I'm using patched conics in 2D.) I'm having an issue with the…
Joshua Harvey
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OpenMDAO Newton solver errors handling in DOE

With OpenMDAO 3.25, I am trying to run the om.DOEDriver with om.UniformGenerator on a model which contains a group with a Newton NL solver with the linear DirectSolver solver, similar to that discussed here: cycle1 = self.add_subsystem('cycle1',…
Kasia
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Order of convergence of newton's method

I have to determine the order of convergence of the newtonmethod. Tried to do it, but getting a wrong answer. The output i'm getting is: 1.7128e+00 1.8444e+00 1.9161e+00 1.6276e+00 1.0000e+00 1.0000e+00 1.0000e+00 I know i'm supposed to find that…
Xander588
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Parse error in octave while I try to see the output

I wrote a function in octave and got an error like this: parse error near line 6 of file D:\Evan\Kuliah\Smt 4\METNUM\newton_method.m syntax error y = @3*x^2 - 4*x;e code: function y = df(x) y = @3*x^2 - 4*x; end I've changed the function to…
Evan Aryaputra
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Minimum time target problem with shooting method

This is a standard optimal control problem, I am using the shooting method, I solved the hjb equation and used the co-state values for initialization and it is working perfectly, but I want to use newton method for solving initial value, where…
Sounak Mojumder
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Solving a rectangular system of nonlinear equations with GSL

I want to program a C++ code able to solve a set of equation systems which are generally nonlinear. I am already able to solve a system of m equations with n variables using GSL when m = n by following its documentation. However, often I have fewer…
tomtom
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Ploting multiple graphs on the same figure in a "for" loop

I'm using the moody function by ILDEBERTO DE LOS SANTOS RUIZ and newton method for solving colebrook white equation. My code is a0 = input('Enter initial guess: '); e = input('Tolerable error for: '); n = input('Enter maximum number of steps:…
ek9
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How does Math.pow() handle fractional exponents (specifically nth roots)

I hope that this is not a duplicate, but I've looked through many different posts, including Java Math.pow(a,b) time complexity, which do not directly answer the question for cases of pure nth roots. Since there are many different methods to quickly…
Contone
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Issue with implementing sympy into newtons method

I was trying to make a calculator for newtons method given a function, I've got everything down except that I keep running into an issue when I'm trying to do log of a different base or ln(x). I'd appreciate the help! import sympy as sp x =…
Geegee
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How to calculate internal rate of return (IRR) and yield to maturity (YTM) in Sympy

How do I calculate internal rate of return (IRR) and yield to maturity (YTM) in Sympy? I am trying to calculate the YTM of a bond of $1000 face value that pays $50 in coupons every year. The bond is currently selling for $900, and matures in 3…
Flux
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