*****************************MAT LAB HELP PLEASE**********************************

THESE ARE THE TWO PSUEDO CODES FOR THE NEWTON AND SECANT METHODS AS MENTIONED ABOVE:

Find the root(s) of the following functions using both Newton's method and the secant method, using tol- eps You wil need to experiment with the parameters pO, p1, and maxits For each root, visualize the iteration history of both methods by plotting the absolute errors, as a function of iteration number, on a (single) semilogy plot. Label the two curves (Newton's method and secant method) using a legend, describing the po and p1 values you used, e.g., "Newton's (po-7)" and "Secant (po-0, p1-1)" (a) f: 2-2, which has two roots, = v2. Rewrite the iteration formula to verify it is the same as the Babylonian method (see Worksheet 4 Q1(a)). Explain the problem with the starting guess po 0 in terms of the derivative of f. (b) f: tanh(z), which has one root, Characterize (roughly) when the methods converge or diverge in terms of the starting guesses. (E.g., try Newton's method with po 1.08 and 1.09.) Newton's Method To find a solution to f(x) = 0 given an initial approximation po: INPUT initial approximation po; tolerance TOL; maximum number of iterations No OUTPUT approximate solution p or message of failure. Step 1 Set i=1 Step 2 While i s No do Steps 3-6 Step 3 Set p = po-f(po)/f' (po). If lp- pol