3-bisection.txt - HW3 Bisection In this exercise you will implement a functional on your own a root-finding algorithm called the bisection method For

3-bisection.txt - HW3 Bisection In this exercise you will...

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#' HW3: Bisection. #' #' In this exercise, you will implement a functional on your own: a root-finding algorithm called the bisection method. #' For details, check the wikipedia page for 'Bisection Method': #' #' 1. Implement the bisection method using iteration and the scaffold given below. #' Argument `f` is the function of which we want to find the root. #' Argument `a` and `b` are two evaluated points. #' Argument `n` is the max number of iterations. #' Argument `tol` is the desired tolerence. ## Do not modify this line! bisection <- function(f, a, b, n = 1000, tol = 1e-7) { # If the signs of the function at the evaluated points, a and b, are the same, throw an error. if(f(a)*f(b)>0){ stop("The signs of f evaluated at the endpoints are the same.") } else{ for (i in 1:n) { # Calculate midpoint # If the function equals 0 at the midpoint or the midpoint is below the desired tolerance, stop the # function and return the root. # If another iteration is required, # check the signs of the function at the points c and a and reassign # a or b accordingly as the midpoint to be used in the next iteration.

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• Fall '18
• Linxi Liu
• #, Root-finding algorithm, Bisection Method

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