Editing Iteration (section)

== Mathematics ==
In mathematics, iteration may refer to the process of [[iterated function|iterating a function]], i.e. applying a function repeatedly, using the output from one iteration as the input to the next. Iteration of apparently simple functions can produce complex behaviors and difficult problems – for examples, see the [[Collatz conjecture]] and [[juggler sequence]]s.

Another use of iteration in mathematics is in [[iterative method]]s which are used to produce approximate numerical solutions to certain mathematical problems. [[Newton's method]] is an example of an iterative method. Manual calculation of a number's square root is a common use and a well-known example.