Purchase Solution

Rootfinding for Nonlinear Equations

Not what you're looking for?

24. Which of the following iterations will converge to the indicated fixed point alpha (provided x_0 is sufficiently close to alpha)? If it does converge, five the order of convergence, for linear convergence, give the rate of linear convergence.

a) x_n+1 = -16 + 6x_m + 12/x_n alpha = 2
b) x_n+1 = 2/3x_n + 1/(x_n)^2 alpha = 3^1/3
c) x_n+1 = 12/(1+x_a) alpha = 3

Solution Summary

This solution explains how to answer the question about root finding for nonlinear equations. This solution is provided in an attached Word and PDF version.

Solution Preview

Hello and thank you for posting your question to Brainmass!
The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in Adobe pdf format. Therefore you can choose ...

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.