secant {cmna}

Secant Method

Description

The secant method for root finding

Usage

secant(f, x, tol = 0.001, m = 100)

Arguments

f

function to integrate

x

an initial estimate of the root

tol

the error tolerance

m

the maximum number of iterations

Details

The secant method for root finding extends Newton's method to estimate the derivative. It will return when the interval between them is less than tol, the error tolerance. However, this implementation also stop if after m iterations.

Value

the real root found

See Also

Other optimz: bisection(), goldsect, gradient, hillclimbing(), newton(), sa()

Examples

f <- function(x) { x^3 - 2 * x^2 - 159 * x - 540 }
secant(f, 1)