MatLab Assignment 4 -- Turn in on October 10


  1. Use your MatLab program for the Bisection Method to solve the problem #23 on Page 64 to the accuracy of 10-4.
  2. Let f(x)=ex-x-1.
    1. Verify that x=0 is a root of f(x)=0 of order 2 (M=2) (by hand of course).
    2. Let x1=1, and tol=10-8. Solve f(x)=0 by Newton's Method. What is the number of iterations needed?
    3. Apply Aitken's Acceleration process to the sequence of estimates obtained previously to generate a new sequence of estimate y0, y1, ..., yk where k is determined so that |f(yk)| < 10-8. What is k?
    4. Let x1=1, and tol=10-8. Solve f(x)=0 by two modified Newton methods given in class. What is the number of iterations needed for each method?