Explore BrainMass

Explore BrainMass

    Rootfinding for Nonlinear Equations

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com March 4, 2021, 6:09 pm ad1c9bdddf


    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 ...

    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.