Abstract
In this chapter we will study iteration in one dimension. (Iteration in two dimensions is far more complicated and comprises an important chapter in Volume II.) “Iterating” a function f(x) consists of the following simple process:
Start with a seed x 0, and consider the sequence
(1).
The essence of iteration is to use the last output as the next input.
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© 1991 Springer Science+Business Media New York
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Hubbard, J.H., West, B.H. (1991). Iteration. In: Differential Equations: A Dynamical Systems Approach. Texts in Applied Mathematics, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0937-9_6
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DOI: https://doi.org/10.1007/978-1-4612-0937-9_6
Publisher Name: Springer, New York, NY
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