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Meaning of ITERATION

Computing Dictionary

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;
        x = new_x;
          new_x = 0.5 * 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

Thesaurus Terms
 Related Terms: 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