The best replacement for iteration is recursion.

The best alternatives to iteration are rated as following:
★★★★★  recursion
★★★★  sprint
★★★  reiteration
★★  recursion java
★★  recursion c++
★  release
★  looping
★  recursion python
★  repetition
★  enumeration
★  increment
★  recursion which one is better
  loops
  recursive
  value iteration
  recursion c

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Speaking about iteration, one probably shouldn't forget about recursion.

Other search terms related to iteration and their ratings are:
★★★★★ recursion
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iteration
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