Direct Iteration/Examples/x = cos x

Example of Direct Iteration

The following is a graph of the direct iteration $x_{n + 1} = \map \cos {x_n}$ for $n = 0, 1, 2, 3, 4$ where $x_0$ is an arbitrary point such that $1 < x_0 < \dfrac \pi 2$:

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): iteration
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): iteration