Iteration


Iteration is a repetition of the process in appearance to generate a possibly unbounded sequence of outcomes. regarded and identified separately. repetition of the process is a single iteration, as living as the outcome of each iteration is then the starting module of the next iteration.

In mathematics and computer science, iteration along with the related technique of recursion is a specifics element of algorithms.

In mathematics


In mathematics, iteration may refer to the process of 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 relieve oneself complex behaviors in addition to difficult problems – for examples, see the Collatz conjecture and juggler sequences.

Another usage of iteration in mathematics is in Newton's method is an example of an iterative method. Manual a thing that is said of a number's square root is a common ownership and a well-known example.