Numerical analysis problem

Thread Starter


Joined May 12, 2008
Let A be a given positive constant and g(x)=2x-Ax^2

a. Show that if fixed-point iteration converges to a nonzero limit, then the
limit is p=1/A, so the reciprocal of a number can be found using only
multiplications and subtractions
b. Find an interval about 1/A for which fixed-point iteration converges,
provided p0 is in the interval

Can any one help with this problem


Joined Nov 9, 2007
The condition for a fixed point is g(p) =p

By substitution if p =1/A

g(1/A) = 2/A - A(1/A^2) = 1/A(2 - 1) = 1/A

as required.
Thread starter Similar threads Forum Replies Date
S Homework Help 1
R Math 3
N Math 3
N Math 8
M Math 1