Convergence criteria for fixed point iteration

[chronicals]

Homework Statement

Most functions can be rearranged in several ways to give x = g(x) with which to begin the fixed-point
iteration method. For f(x) = e^x − 2x^2 , one g(x) is x = +- sqrt(e^x/2)
a) Using the convergence criteria, show that this converges to the root near 1.5 if the positive value is used and to the root near -0.5 if the negative is used. Do not carry out iterations!

Homework Equations

The Attempt at a Solution

what is convergence criteria for fixed point iteration, how can i solve this problem?

 

[ystael]

There is no such thing as "the" convergence criteria for fixed point iteration. The criteria in question are to be found in your textbook or notes, and in order to help you, we would need to know what exactly your problem refers to.