# The DICT Development Group

**4 definitions found
for iteration****From The Collaborative International Dictionary of English v.0.48 :
**
Iteration \It`er*a"tion\, n. [L. iteratio.]
1. Recital or performance a second time; repetition. --Bacon.
[1913 Webster]
What needs this iteration, woman? --Shak.
[1913 Webster]
2. (Computers) The execution of a statement or series of
statements in a loop which is repeated in a computer
program; as, at each iteration, the counter is incremented
by 2.
[PJC]

**From WordNet (r) 3.0 (2006) :
**
iteration
n 1: (computer science) a single execution of a set of
instructions that are to be repeated; "the solution took
hundreds of iterations" [syn: iteration, loop]
2: (computer science) executing the same set of instructions a
given number of times or until a specified result is
obtained; "the solution is obtained by iteration" [syn:
iteration, looping]
3: doing or saying again; a repeated performance

**From Moby Thesaurus II by Grady Ward, 1.0 :
**
36 Moby Thesaurus words for "iteration":
conduplication, copy, copying, critique, doubling, duplicate,
duplication, dwelling upon, elaboration, gemination, going over,
imitation, ingemination, practicing, reaffirmation, recap,
recapitulation, recital, recountal, recounting, reduplication,
rehash, rehearsal, reissue, reiteration, repetition, replication,
reprint, reproduction, restatement, resume, retelling, review,
summary, summing up, twinning

**From The Free On-line Dictionary of Computing (30 December 2018) :
**
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 a loop,
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)

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