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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Write a MATLAB script for computing the cube root of a number, x =
, with only basic arithmetic operations using Newton’s method, by finding a root of the function f (x) = x 3 − a. Run your program for a = 0,2,10. For each of these cases, start with an initial guess reasonably close to the solution. As a stopping criterion, require the function value whose root you are searching to be smaller than 10−8. Print out the values of xk and f (xk ) in each iteration. Comment on the convergence rates and explain how they match your expectations.
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