Lill's Method


On this page I will include some useful links to websites and papers that deal with Lill's method.

Extending Lill's Method of 1867
This is the archived version since the original website doesn't exist anymore. The author is Phillips Verner Bradford and he covers many topics related to Lill's method, including angle trisection and complex root solutions.

Geometric Solutions of Algebraic Equations
This paper by Riaz offers a nice introduction to Lill's method.

NOTE ON LILL'S METHOD OF SOLUTION OF NUMERICAL EQUATIONS
This paper by B. Meulenbeld is very important. Among many things, he shows how to derive the derivatives of polynomial equations using Lill's method. It shows that Lill's method can be quite a powerful mathematical tool.

NOTE ON THE REPRESENTATION OF THE VALUES OF POLYNOMIALS WITH REAL COEFFICIENTS FOR COMPLEX VALUES OF THE VARIABLE
This is another paper by B. Meulenbeld. The paper is shorter than the one above but it is still very rigorous.

Lill's method and the Philo Line for Right Angles
This article shows that solving a class of third degree polynomials using Lill's method is equivalent to finding the Philo line (also known as Philo's line, Philon line or Philon's line).