Question: Consider the fixed-point iteration xn+1 = 9(n). a) Under what conditions will it converge to the fixed point r, = 6(x.)? b) Sometimes when

Consider the fixed-point iteration xn+1 = 9(n). a) Under what conditions will

Consider the fixed-point iteration xn+1 = 9(n). a) Under what conditions will it converge to the fixed point r, = 6(x.)? b) Sometimes when it diverges people try under-relaxation, which is to replace the above with xn+1 =ran + (1- r)(xn), where r is an adjustable relaxation factor. Show that if the original iteration diverges, then convergence can be restored with under-relaxation under certain circumstances. What are these circumstances? %3D

Step by Step Solution

3.59 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To address the given problem we need to examine the conditions under which a fixedpoint iteration co... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!