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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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Is finding zeros of a function a NP-pb?

I would like to find the zeros of a real function of multiple variables. Many algorithms are known to solve this problem (such as the Newton-Rhapson method), but in the general case, do these problems belong to the NP-complete class of problems ? In…
C-Lvd
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High precision multidimensional Newtons method with mpmath.findroot in Python

I am trying to solve a system of equations numerically to high precision using the multidimensional newtons method of mpmath.findroot. Here's an example system: def f(x_0, x_1, x_2, x_3, x_4, x_5, y_0, y_1, y_2, y_3, y_4, y_5, l_0, l_1,l_2, l_3,…
Moritz Firsching
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Error using Newton-Raphson Iteration Method for Floating Point Division

I am using the Newton-Raphson Algorithm to divide IEEE-754 single-precision floating point values using single precision hardware. I am using the method described at these two links: Wikipedia Newton-Raphson Division Newton-Raphson Method I'm…
Veridian
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Newton Method in Pandas

I am trying to use the scipy.newton method to optimize in a pandas dataframe. First, my dataframe creation is below. Second, create the function Px. Third, create another function YieldCalc where I use scipy.newton to optimize to find the value…
Wade Bratz
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sum of square errors in proc iml

I'm trying to create a code to run Newton Raphson optimization. I'm using proc iml, but when I need to evaluate the error (e) I need to sum up all the square differences and don't know how to tell SAS that in that case I need the sum of the…
GabyLP
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Newton-Raphson Method for Non-linear System of 3 variables in Matlab

I am trying to solve 3 non-linear system of 3 variables using the Newton-Raphson method in MATLAB. Here are the 3 non-linear equations: c * (alpha*I + k_f + k_d + k_n * s + k_p*(1-q))-I *alpha = 0 s * (lambda_b * c* P_C + lambda_r *(1-q))-…
Manjushree
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How to understand Newton's method for square root in Java?

public static double sqrt(double c) { if (c < 0) return Double.NaN; double t = c; // line 1 double err = 1e-15; // line 2 while (Math.abs(t - c/t) > err * t) // line 3 t = (c/t +…
Nick
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Newton algorithm - couln't calculate Hessian

I'm trying to write an implementation of Newton algorithm in Matlab. When I call up my function using formula: result = NewtonMethod(x(1).^2 - 2.1*x(1).^4 + (x(1).^6)/3 + x(1)*x(2) - 4*x(2).^2 + 4*x(2).^4, [0 0], 0.1, 10) I've got an error…
user3633449
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Overflow Error when using Newton's Method in Python

I am trying to carry out the Newton's method in Python to solve a problem. I have followed the approach of some examples but I am getting an Overflow Error. Do you have any idea what is causing this? def f1(x): return x**3-(2.*x)-5. def…
alkey
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Newton Method Square Root Iterations

I pulled this code from http://blog.shay.co/newtons-method/: //a - the number to square root //times - the number of iterations public double Sqrt(double a, int times) { if (a < 0) throw new Exception("Can not sqrt a negative number"); …
Evorlor
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Using Newton's method to solve a system of nonlinear equations in Matlab

I'm working a program which implements Newton's method on an m file containing the system of equations and Jacobians function x = fun(x,mode) % compute F(x) if mode == 1 x = [ 3*x(1)^2 + 5*x(2)^2 + x(2) - 1; x(1)^2 - 6*x(1) -…
carcinogenic
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Infinite Loop Newton Raphson

Very new matlab user here. The code you see below works great for solving EQUATION 2 but when I switch to EQUATION 1 matlab becomes "busy" and nothing seems to work. ctrl+c, ctrl+d, ctrl+ dont seem to work but I would like to solve the underlying…
user3293504
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Determining Square Root Using Newton's Method

This is a homework assignment, to estimate the square root of a number input by the user, using Newton's method, which should return a result of < .0001. When I run the code and enter a number, nothing happens after that. In debug mode, the…
Grafica
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Newton-Raphson method to solve cubic equations

I am completely a beginner in programming, therefore please tell me if the answer to my question is very evident and obvious. I started learning python a week ago, and having learnt the basics of using the Newton-Raphson method to solve equations, I…
stochastic13
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Commons Apache Java UnivariateFunctionDifferentiator

I am having trouble using the UnivariateFunctionDifferentiator interface in java. Quoted from the Commons Homepage: "There are several ways a user can create an implementation of the UnivariateDifferentiableFunction interface. The first method is…
SteewDK
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