4  Iterative algorithms: chaos and fractals

4.1  Iterative processes

An iterative process is the repeated application of a mathematical procedure where each step is applied to the output of the preceding step (Figure 4.1).

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Figure 4.1 An iterative process whereby the output is fed back to the input.

Mathematically, an iterative process is defined as a rule that describes the action that is to be repeatedly applied to an initial value X0. The outcome of an iterative process constitutes a set, technically referred to as the orbit of the process; the values of this set are referred to as the points of the orbit. Thus, the orbit O that arises from ...

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