NewtonsMethod

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Here you can find a package containing two methods to perform the Newton's Method to calculate the root of a univariate function. The first method uses a fed-in first derivative, while the second one automatically computes the first derivative.

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Documentation

The documentation of the package is:

1. For the first method:

newtonroot(f, df; iv = 0.3, tol = 1E-13, maxiter = 1000)

2. For the second method:

newtonroot(f; iv = 0.3, tol = 1E-13, maxiter = 1000)

where

• f(x)::Function function whose root needs to be found;
• df(x)::Function first derivative of the function;
• iv::Float64 initial value (iv = 0.3 is the default);
• tol::Float64 tolerance value (tol = 1E-13 is the default);
• maxiter::Int64 maximum number of iterations (maxiter = 1000 is the default).

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In the test section, you can see that I have broken a test on purpose in order to see what the Travis CI reports. Evidence of the error has been screenshotted and it is now accessible in the file Evidence-error-PS5.png. That test is now commented in order to have a nicely tested package.