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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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Iterative Newton's Method to recursive (Java)

I need to use Newton's method using recursion. I have this piece of code using iterative Newton's method, but I'm very new to programming so I can't wrap my head around how to turn it into recursion. I would really appreciate some visual…
Тина Фолим
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Newton-Raphson method application to a quadratic formulae

I am new to Python and I apologise if this a silly question. I am attempting to answer the following question: A polynomial, (. ), with one variable, , has a finite number of nonzero terms, e.g. () = 2 + + for a degree two polynomial. A root of…
Johnny Azar
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Attempting to calculate how many iterations are needed for Newton's method

I got stuck and I don't know how to find how many iterations are needed for Newton's method. Where should I put it? Should I put it in a while loop? tolerance = 10e-6 def newton(funkcia,derivacia,x): def f(x): f=eval(funkcia) #precita mi…
Lea Brodnianska
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Derivatives of equations required for the Jacobian [vba]

I found the an excel file on https://www.piping-tools.net/Downloads/1.Listado/ named Math. System of nonlinear equations solved with the Newton-Raphson method, in Excel and VBA.xls, I addepted the vba code so not to have to solve the Derivatives of…
Loki Patera
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find square root with Newton using integers

In this program, I'm trying to calculate the square root with the newton equation 1/2(x+a/x) just using integers. So if I repeat this equation at least 10 times, it should divide the number by 1000 and give an approximate value of the square root of…
Angie
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How to loop over a condition until the values have converged? (Newton Raphson Method)

For the Newton-Raphson Method, I'm asked to write a loop to call the function until it has converged so that the values of x(n) and x(n+1) differ by less than a small number e=10^-8, however, I am not quite sure how to create this loop. Here's my…
Amnesia Smith
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How can I adjust this Newton-Raphson for loop to include a range of values for my initial guess so that it prints the number of iterations for each?

I currently have this, I have tried to replace x by defining an 'np.arrange' to do this but keep getting an error that says "only integer scalar arrays can be converted to a scalar index", I think I may need to redefine my function but was hoping…
Ryan McAree
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Find the values in a implicit function in python

I need to find the values of some constants of the following implicit function, given the values of the variables. f(Vpanel, Ipanel) = Isc - Isat(e^((Rs * Ipanel+Vpanel)/(n * Vt))-1) - (Rs*Ipanel+Vpanel)/Rp - Ipanel I want to find a way to find the…
Rodrigo Moraes
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Compute reciprocal in Python using Newton's method

I am attempting to write a function to compute the reciprocal of a number using Newton's method, however it gives me wrong results despite having directly translated the formula from Wikipedia to code, the result produced seems to go far into…
txk2048
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Why do Sympy signum functions not work in Jacobian matrices when solving a system of equations?

I am trying to solve a system of 2 non-linear equations. These equations solve perfectly fine on their own, however, when I add Sympy's sign function to either of them they are unable to solve. The original system is as follows: Equation 1 ; x_2 =…
Hendrix13
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How do I remove the automated tau0 variables in my output when solving a system of equations using Sympy?

I have made a solver which works fine for several other systems of equations that I've tried. However, my current system which has 21 equations (some non-linear and multivariate) when put into the same solver doesn't seem to work. The Newton's…
Hendrix13
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(Sympy) Why do I get an unsupported operand error when trying to solve a specific equation block using Newton's Method despite other blocks working?

I have a system of 58 equations (in which some equations are non-linear and/or multivariate) which I have separated into blocks (via Trajan's algorithm) for easier solving and faster computational time. A solution for the whole system definitely…
Hendrix13
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Newton_Raphson with a shift

I'm trying to calculate the minimum of a function using the newton-raphson(with shift) method and I get the following error: "object arrays are not supported" (the problem occurs in solve(H, gf)) Here is my code: import numpy as np from sympy.abc…
ted13
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Estimating Weibull with MLE and Newton-Raphson

I have been trying to estimate the two-parameter Weibull distribution with a Newton method. As I was reading a bit about using Newton-Raphson algorithm, I found it challenging to understand some aspects. I've tried to implement it in Python and tbh…
kittycat
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Newton's Method to convergence but I get Unbound Error

I have a assignment where I have to find out if some values for x_0 converge, but my code seems to pop up a Unbound Local error when i test values over 0.5. import numpy as np from sympy import * import sympy from math import atan from scipy…
margheritaa
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