newton {cmna} | R Documentation |
Use Newton's method to find real roots
newton(f, fp, x, tol = 0.001, m = 100)
f |
function to integrate |
fp |
function representing the derivative of |
x |
an initial estimate of the root |
tol |
the error tolerance |
m |
the maximum number of iterations |
Newton's method finds real roots of a function, but requires knowing
the function derivative. It will return when the interval between
them is less than tol
, the error tolerance. However, this
implementation also stops after m
iterations.
the real root found
Other optimz:
bisection()
,
goldsect
,
gradient
,
hillclimbing()
,
sa()
,
secant()
f <- function(x) { x^3 - 2 * x^2 - 159 * x - 540 }
fp <- function(x) {3 * x^2 - 4 * x - 159 }
newton(f, fp, 1)