I am required to do a 10-15 minutes presentation in a Complex Analysis class on the following idea:
"Discuss convergence rates of power series, and numerical aspects of how to write good algorithms to compute complex powers."
What i have discovered from wikipedia is that the convergence of power series is often linked to the precision of a numerical answer. (http://en.wikipedia.org/wiki/Radius_of_convergence#Comments_on_rate_of_convergence)
Other than that, i'm pretty much stuck.
May I ask for any good references or resources that may aid me for this short presentation?
Thank you for reading!