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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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While loop adding extra [] on every step

I have defined the function newton to be the implementation of the Newton method to find roots of real-valued and vector-valued functions. The problem is that, the sequence created is being included into an extra [] at every step. Why is this…
Jena Rayner
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Python TypeError for Root-Finding Code(QuantEcon Package)

So beginner here at Python, using it for economic research. I am currently trying to run code to find the roots of a CES Function using the Newton-Ralphson Method (https://quanteconpy.readthedocs.io/en/latest/optimize/root_finding.html). However, I…
GildedCrowEscapee
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Plotting the results of a Newton-Raphson solution for multiple cases

Consider the following problem: I am now in the third part of this question. I wrote the vectorial loop equations (q=teta2, x=teta3 and y=teta4): fval(1,1) = r2*cos(q)+r3*cos(x)-r4*cos(y)-r1; fval(2,1) = r2*sin(q)+r3*sin(x)-r4*sin(y); I have these…
HollyPolly
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How to find differential of input function while writing in MATLAB for Newton Raphson method

I have been searching for a way to differentiate a function, input by the user and apply differentiation on it as peruse of Newton Raphson Method, but since the inline functions are not recommended, is there any way to take the user's input in…
Kanchan Bharti
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TypeError: cannot determine truth value of Relational

I'm trying to find the root by Newton-Raphson method and encounter the following error in the while loop; other related questions deal with Sympy objects but the two variables involved in the error are not Sympy objects. Code below - import…
user263315
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Mpmath findroot for multidimensional function error "cannot create mpf from matrix"

The following code gives the error: "TypeError: cannot create mpf from matrix(...)" where the matrix is the initialized vector. I don't understand why it wants to convert this matrix in the first place. To my understanding mpmath should be able to…
Leon Schmitz
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TypeError and ValueError in algorithm for Newton's Method to gradient descent with backtracking

I am trying to apply Newton's Method to a gradient descent algorithm with backtracking. Gradient Descent algorithm: Gradient Descent with Backtracking algorithm: Newton's Method: import numpy as np from scipy import optimize as opt def…
D K
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How to compute system of multivariable equations in Python using Newton-Raphson method?

I need your help with programming. Here is my system of equations: f_1(x1, x2) = 89.3885624 + 169.6377442*x1 + 169.439564*x2 + 65.07923*((3*x1*(-a1-sqrt(a1^2 - 4*a0*a2)/(2*a2) +0.55071844)/3*x2) + 162.698313*((-a1-sqrt(a1^2 - 4*a0*a2))/2*a2) +…
julio77
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Simultaneously find x for multiple function values

Problem Given a function f and a list of interested value [y1, y2, ..., yn], how do you do to find the list [x1, x2, ..., xn] such that f(xi)=yi for each i. I know there are many root finding algorithms and we can use any of those to find the root…
hychou
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Result error in implementation of trigonometric function by Newton Raphson method in PYTHON

trigonometric function by Newton method is giving wrong results def func(x): return radians(math.sin(x)+log(x)+1) def derivFunc(x): return radians((1/x) + math.cos(x)) #sin(x)+log(x)+1 --is the function i want to apply method on **#…
ashiq pervez
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Why is this newton-rapshon method of finding the returning an error with log

As stated above I've made a newton-raphson method for finding the square root of a given number def newton(f, fprime, eps): x0 = 10 while True: fx0 = f(x0) if abs(fx0) < eps: return x0 fpx0 = fprime(x0) …
Ktass99
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SciPy's Newton function does not find the intersection point

I am trying to understand why the code below does not return -1.17 but instead returns -6.67e-09. What does this number actually tell me? If I alter the estimation from 0 to -1 it does correctly compute -1.17. However, if I would have to do this for…
JerBouma
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Newtons Method for Optimization in MATLAB

I want to optimize a problem using Newton's Method in MATLAB, however, I am not getting a correct answer. I am hoping someone could me with my codes. The answer should be around 33.333 but I am getting 25. clc; clear all; close all; f = @(x)…
NoName123
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Laguerre's method

I'm trying to implement Laguerre's method for following equation: 1/(99*x+1)=2. (general form is more complex - polynomial of n-th degree 1/(a*x+1)+...+1/(z*x+1)=res) where a,b,...z>=0 and 0
Bojan Vukasovic
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How to fit a curve to data in R

Alright, my second question on this topic. I already asked a similar question and tried to implement different solutions, but nothing seems to work. Kinda sad if you think about it. To tell you what this is about: I am trying to fit a function of…
l337n00b
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