3 definitions found
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
Iteration \It`er*a"tion\, n. [L. iteratio.]
Recital or performance a second time; repetition. --Bacon.
What needs this iteration, woman? --Shak.
From WordNet r 1.6 [wn]:
iteration
n : doing or saying again [syn: {reiteration}]
From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]:
iteration
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)
more about iteration
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