logo for solving-math-problems.com
leftimage for solving-math-problems.com

Iterations Converge to Fixed Point

by Gilmar













































Which of the following iterations will converge to the indicated fixed point a (provided xo is chosen sufficiently close to a) if the iteration does converge . For linear convergence, give the rate of the linear convergence. If the iteration does not converge, re-write the iteration in another form so that it does converge (provided x0 sufficiently close to a)

a. xn+1 = -16+6 xn, a=2

b. .xn+1 = -2/3x_n + 1/ x²n, a= 3 1/3 ~ 1.4422
c . . . xn+1 = 12/(1+ xn), a=3

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com