spuRs (version 2.0.0)

fixedpoint: A function of the fixed point algorithm.

Description

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

Usage

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

Arguments

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.

Value

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

Details

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

References

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

See Also

newtonraphson, bisection

Examples

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