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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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Newtons Method in Python

I'm writing a program in python that will solve for zeros using newtons method. I finished writing the rough version of it, then realized a couple different things and was wondering if I need to impement/change this. (knowledge of the subject may…
Shantanu
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efficiently approximate real solution for polynomial function

I want to efficiently solve a degree-7 polynomial in k. For example, with the following set of 7 unconditional probabilities, p <- c(0.0496772, 0.04584501, 0.04210299, 0.04026439, 0.03844668, 0.03487194, 0.03137491) the overall event probability is…
jayb
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Solving a non-linear system of equations in Python using Newton's Method

I am trying to solve this exercise for College. I have already submitted the code bellow. However, I am not completely satisfied with it. The task is to build an implementation of Newton's method to solve the following non-linear system of…
Pedro Delfino
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Newton-Raphson Method in Matlab

I am new to matlab and I need to create a function that does n iterations of the Newton-Raphson method with starting approximation x = a. This starting approximation does not count as an interation and another requirement is that a for loop is…
user3908437
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Newton's Gradient Descent Linear Regression

I am trying to implement a function in MatLab that calculates the optimum linear regression using Newton's method. However, I became stuck in one point. I don't know how to find the second derivative. So I cannot implement it. Here is my…
user2279774
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Using MATLAB to write a function that implements Newton's method in two dimensions

I am trying to write a function that implements Newton's method in two dimensions and whilst I have done this, I have to now adjust my script so that the input parameters of my function must be f(x) in a column vector, the Jacobian matrix of f(x),…
Luke Shawford
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Prevent Matlab from rounding output?

Im running a simple script to estimate roots for a function. Everything works great, each iteration of the algorithm prints off the current x and f(x), but when the script finishes and sets the final estimate of x as the output of the function the…
kbirk
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Python non linear equation with lagrangian multipliers estimation

i 've been struggling for days on this thing....but to no avail. I'm not very good at difficult math let alone this kind of level of difficulty. I was trying to implement the maximum entropy application for the lottery in python for my graduation…
ArChiBald
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Error in Newton's Method function in Julia (no method matching ^(::Vector{Float64}, ::Int64)

I am trying to write a function in Julia that solves the nonlinear equation f(x)=0 using Newton iteration. I am very much a beginner in Julia so bear with me. In the assignment, my instructor provided this first line of code: newton(f, x_0;…
jakekap7
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Derivative of symbolic function at a specific value

I am trying to use this code in Octave to evaluate the derivative of function f, df, at specific x values: pkg load symbolic; syms x; f = @(x) sqrt(2*x+1) - sqrt(x+4); disp(f); df = diff(f,x); I tried df(4) for example, and eval(df,4), but neither…
Youssef George
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Newton Raphson Method LaTeX

How to implement Newton Raphson Method in LaTeX?
Michael Banucu
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Newton's method with specified digits of precision

I'm trying to write a function in Java that calculates the n-th root of a number. I'm using Newton's method for this. However, the user should be able to specify how many digits of precision they want. This is the part with which I'm having trouble,…
gerardlouw
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Newton's method: order of statements in loop

I'm trying to implement Newton's method for fun in Python but I'm having a problem conceptually understanding the placement of the check. A refresher on Newton's method as a way to approximate roots via repeated linear approximation through…
Aristides
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Cube root on x87 FPU using Newton-Raphson method

I am trying to write an assembly program using the 8086 processor that will find the cube root of a number. Obviously I am using floating points. Algorithm based upon Newton-Raphson method: root := 1.0; repeat oldRoot := root; root :=…
GeekyDewd
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gradient descent newton method using Hessian Matrix

I am implementing gradient descent for regression using newtons method as explained in the 8.3 section of the Machine Learning A Probabilistic Perspective (Murphy) book. I am working with two dimensional data in this implementation. I am using…
webNash
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