# Computer Dictionary Online

Medical Dictionary   Law Dictionary   Legal Dictionary   Website Design
 0  1  2  3  4  5  6  7  8  9  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x  y  z

iteration

<programming> Repetition of a sequence of instructions. A fundamental part of many algorithms. Iteration is characterised by a set of initial conditions, an iterative step and a termination condition.

A well known example of iteration in mathematics is Newton-Raphson iteration. Iteration in programs is expressed using loops, e.g. in C:

```		new_x = n/2;
do
{
x = new_x;
new_x = 0.5 * (x + n/x);
} while (abs(new_x-x) > epsilon);
```

Iteration can be expressed in functional languages using recursion:

```		solve x n = if abs(new_x-x) > epsilon
then solve new_x n
else new_x
where new_x = 0.5 * (x + n/x)
```

```	        solve n/2 n
```

(1998-04-04)

 Contact the Computer Dictionary Online  ::  Link to the Computer Dictionary Online  ::  Disclaimer for Computer Dictionary Online Computer Dictionary Online Copyright © 2017