iteration (redirected from Iterations)

iteration

One repetition of a sequence of instructions or events. For example, in a program loop, one iteration is once through the instructions in the loop. See iterative development.

---

iteration [‚īd·ə′rā·shən]

(mathematics)

iterative method

---

(programming)

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 * 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