f_root function

f_root

Calculates the root of a function given an initial value and a function to calculate its derivatives.

f_root(f, df, start, tol = 1e-08, n.max = 1000)

Arguments

• f: function: A function that receives a vector and return a vector of the same size.
• df: function: A function that receives a vector and return the derivatives of f with respect to its arguments (if f returns a vector, it must be a matrix).
• start: vector: The initial value to start the algorithm.
• tol: numeric: The tolerance for the solution.
• n.max: numeric: The maximum number of iterations allowed.

Returns

A list containing:

• root vector: The solution for the system f(x)=0.
• f.root vector: The function f evaluated at the root.
• iter numeric: The number of steps taken.