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Iteration | SpringerLink

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

.

The essence of iteration is to use the last output as the next input.

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1. Department of Mathematics, Cornell University, 14853, Ithaca, N Y, USA

   John H. Hubbard & Beverly H. West

1. John H. Hubbard
2. Beverly H. West

© 1991 Springer Science+Business Media New York

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

• Print ISBN: 978-1-4612-6952-6

• Online ISBN: 978-1-4612-0937-9

• eBook Packages: Springer Book Archive

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