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Iteration

  • John H. Hubbard
  • Beverly H. West
Part of the Texts in Applied Mathematics book series (TAM, volume 5)

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.

Keywords

Periodic Point Quadratic Polynomial Iterative System Cycle Order Periodic Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • John H. Hubbard
    • 1
  • Beverly H. West
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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