Iteration

John H. Hubbard and Beverly H. West
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John H. Hubbard: Cornell University, Department of Mathematics
Beverly H. West: Cornell University, Department of Mathematics

Chapter 3 in MacMath 9.0, 1992, pp 19-26 from Springer

Abstract: Abstract Iteration is the process of repeating the same procedure over and over, using output of one step as input for the next. We start with a function f(x) and a seed x 0, then set $$\begin{matrix}x_1 = f(x_0, y_0), & y_1 = g(x_0, y_0), \\ x_2 = f(x_1, y_1), & y_2 = g(x_1, y_1), \\ x_3 = f(x_2, y_2), & y_3 = g(x_2, y_2) & \dots \\ \end{matrix}$$

Date: 1992
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DOI: 10.1007/978-1-4684-0390-9_3

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