Description Usage Arguments Details Value References See Also Examples

Applies the fixed point algorithm to find x such that ftn(x) == x.

1 | ```
fixedpoint(ftn, x0, tol = 1e-09, max.iter = 100)
``` |

`ftn` |
the function. |

`x0` |
is the initial guess at the fixed point. |

`tol` |
distance of successive iterations at which algorithm terminates. |

`max.iter` |
maximum number of iterations. |

We assume that `ftn` is a function of a single variable.

Returns the value of x at which ftn(x) == x. If the function fails to
converge within `max.iter` iterations, returns `NULL`.

Jones, O.D., R. Maillardet, and A.P. Robinson. 2009. An Introduction to Scientific Programming and Simulation, Using R. Chapman And Hall/CRC.

1 2 | ```
ftn1 <- function(x) return(exp(exp(-x)))
fixedpoint(ftn1, 2, tol = 1e-6)
``` |

```
Loading required package: MASS
Loading required package: lattice
At iteration 1 value of x is: 1.144921
At iteration 2 value of x is: 1.374719
At iteration 3 value of x is: 1.287768
At iteration 4 value of x is: 1.317697
At iteration 5 value of x is: 1.307022
At iteration 6 value of x is: 1.310783
At iteration 7 value of x is: 1.309452
At iteration 8 value of x is: 1.309922
At iteration 9 value of x is: 1.309756
At iteration 10 value of x is: 1.309815
At iteration 11 value of x is: 1.309794
At iteration 12 value of x is: 1.309802
At iteration 13 value of x is: 1.309799
At iteration 14 value of x is: 1.3098
Algorithm converged
[1] 1.3098
```

spuRs documentation built on March 19, 2018, 1:04 a.m.

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