How to Solve a Cubic Equation, Part 5: Back to Numerics

In the previous four columns, the properties of the homogeneous cubic polynomial were studied. In this article, the author introduces two new algorithms that, at first, look quite different from what we've done so far. It will turn out, though, that they actually do fit into our solution scheme. In showing this, he has taken good ideas from a variety of authors and translated them into a common notation while also converting them to deal with homogeneous polynomials