Chapter 5 - Roots of Nonlinear Equations

Assignment, ETC.

Assignment: Due Thursday, March 21, 2002

Do computer problem 5.2 on page 250. For part (a) be sure to give a thorough analysis of the convergence properties. Determine whether or not fixed point iteration converges; if it does converge what the rate is; if the rate is linear, the number of iterations it would take to gain a digit of accuracy. Show all work. For part (b) I recommend modifying (one of the programs you ran in the lab before break). Turn in the output from your programs for each different g together with a written description of how the actual convergence compared to that predicted from part (a). Run the program for each g with at least two different starting points and note any differences in behavior.

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