newtonraphson_show: A function of the Newton-Raphson algorithm, plotting the path.
Description
Applies the Newton-Raphson algorithm to find x such that ftn(x)[1] == 0,
and plots the trace of the estimate.
Usage
newtonraphson_show(ftn, x0, xmin = x0 - 1, xmax = x0 + 1)
Arguments
x0
the initial guess of the fixed point.
xmin
lower limit for plotting.
xmax
upper limit for plotting.
Value
Returns the value of x at which ftn(x)[1] == 0. If the function fails to
converge within max.iter iterations, returns NULL.
References
Jones, O.D., R. Maillardet, and A.P. Robinson. 2009. An Introduction
to Scientific Programming and Simulation, Using R. Chapman And Hall/CRC.