Question
The secant method is a root-finding algorithm (like the Newton-Raphson method) for solving an equation of the form f(x) = 0. Given two initial values
The secant method is a root-finding algorithm (like the Newton-Raphson method) for solving an equation of the form f(x) = 0. Given two initial values x0 and x1, the successive terms are defined recursively as follows.
xn =xn?1 ?f(xn?1)*(xn?1 ?xn?2)/(f(xn?1) ? f(xn?2)) , n=2,3,....
Implement the secant method as a R function in the following form
secant <- function(f,x0,x1,n,err) {...} where f is a function to evaluate f(x), x0 and x1 are the values of x0 and x1 respectively, and err is the error tolerance in absolute value of f(x). Try to solve
3e?y0.5 + 3e?y1.0 + 3e?y1.5 + 3e?y2.0 = 98.39 using your function.
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